K3 string theory, lattices and moonshine

Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto; Zimet, Max

doi:10.1007/s40687-018-0150-4

Title: K3 string theory, lattices and moonshine

Authors:

Cheng, Miranda C. N.; Harrison, Sarah M.; Volpato, Roberto;

Publication Date:: Tue Jul 24 00:00:00 EDT 2018

Sponsoring Org.:: USDOE

OSTI Identifier:: 1461584

Grant/Contract Number:: SC0007870

Resource Type:: Published Article

Journal Name:: Research in the Mathematical Sciences (Print)

Additional Journal Information:: Journal Name: Research in the Mathematical Sciences (Print) Journal Volume: 5 Journal Issue: 3; Journal ID: ISSN 2522-0144

Publisher:: Springer Science + Business Media

Country of Publication:: Germany

Language:: English

Citation Formats


                    Cheng, Miranda C. N., Harrison, Sarah M., Volpato, Roberto, and Zimet, Max. K3 string theory, lattices and moonshine.  Germany: N. p., 2018. 
Web.  doi:10.1007/s40687-018-0150-4.

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                    Cheng, Miranda C. N., Harrison, Sarah M., Volpato, Roberto, & Zimet, Max. K3 string theory, lattices and moonshine.  Germany.  https://doi.org/10.1007/s40687-018-0150-4

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                    Cheng, Miranda C. N., Harrison, Sarah M., Volpato, Roberto, and Zimet, Max. Tue .  
"K3 string theory, lattices and moonshine".  Germany.  https://doi.org/10.1007/s40687-018-0150-4.

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@article{osti_1461584,

  title        = {K3 string theory, lattices and moonshine},

  author       = {Cheng, Miranda C. N. and Harrison, Sarah M. and Volpato, Roberto and Zimet, Max},

  abstractNote = {},

  doi          = {10.1007/s40687-018-0150-4},

  journal      = {Research in the Mathematical Sciences (Print)},

  number       = 3,

  volume       = 5,

  place        = {Germany},

  year         = {Tue Jul 24 00:00:00 EDT 2018},

  month        = {Tue Jul 24 00:00:00 EDT 2018}

}

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Works referenced in this record:

String theory dynamics in various dimensions
journal, June 1995

Witten, Edward
Nuclear Physics B, Vol. 443, Issue 1-2
DOI: 10.1016/0550-3213(95)00158-O

Counting dyons in N = 4 string theory
journal, January 1997

Dijkgraaf, Robbert; Verlinde, Erik; Verlinde, Herman
Nuclear Physics B, Vol. 484, Issue 3
DOI: 10.1016/S0550-3213(96)00640-2

Generalized Mathieu Moonshine
journal, January 2013

Gaberdiel, Matthias R.; Persson, Daniel; Ronellenfitsch, Henrik
Communications in Number Theory and Physics, Vol. 7, Issue 1
DOI: 10.4310/CNTP.2013.v7.n1.a5

Moonshine in fivebrane spacetimes
journal, January 2014

Harvey, Jeffrey A.; Murthy, Sameer
Journal of High Energy Physics, Vol. 2014, Issue 1
DOI: 10.1007/JHEP01(2014)146

Type IIA-heterotic duals with maximal supersymmetry
journal, January 1996

Chaudhuri, Shyamoli; Owe, David A.
Nuclear Physics B, Vol. 459, Issue 1-2
DOI: 10.1016/0550-3213(95)00589-7

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
journal, April 2002

Hanany, Amihay; Prezas, Nikolaos; Troost, Jan
Journal of High Energy Physics, Vol. 2002, Issue 04
DOI: 10.1088/1126-6708/2002/04/014

On two geometric theta lifts
journal, October 2004

Bruinier, Jan Hendrik; Funke, Jens
Duke Mathematical Journal, Vol. 125, Issue 1
DOI: 10.1215/S0012-7094-04-12513-8

The overarching finite symmetry group of Kummer surfaces in the Mathieu group M 24
journal, August 2013

Taormina, A.; Wendland, K.
Journal of High Energy Physics, Vol. 2013, Issue 8
DOI: 10.1007/JHEP08(2013)125

A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6
journal, January 2001

Nahm, Werner; Wendland, Katrin
Communications in Mathematical Physics, Vol. 216, Issue 1
DOI: 10.1007/PL00005548

Discrete information from CHL black holes
journal, November 2010

Sen, Ashoke
Journal of High Energy Physics, Vol. 2010, Issue 11
DOI: 10.1007/JHEP11(2010)138

Stability conditions on $K3$ surfaces
journal, February 2008

Bridgeland, Tom
Duke Mathematical Journal, Vol. 141, Issue 2
DOI: 10.1215/S0012-7094-08-14122-5

Two-dimensional black hole and singularities of CY manifolds
journal, March 1996

Ooguri, Hirosi; Vafa, Cumrun
Nuclear Physics B, Vol. 463, Issue 1
DOI: 10.1016/0550-3213(96)00008-9

Dyon spectrum in CHL models
journal, April 2006

Jatkar, Dileep P.; Sen, Ashoke
Journal of High Energy Physics, Vol. 2006, Issue 04
DOI: 10.1088/1126-6708/2006/04/018

Mathieu Moonshine in the elliptic genus of K3
journal, October 2010

Gaberdiel, Matthias R.; Hohenegger, Stefan; Volpato, Roberto
Journal of High Energy Physics, Vol. 2010, Issue 10
DOI: 10.1007/JHEP10(2010)062

Localization and real Jacobi forms
journal, April 2014

Ashok, Sujay K.; Doroud, Nima; Troost, Jan
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)119

Umbral moonshine and the Niemeier lattices
journal, June 2014

Cheng, Miranda CN; Duncan, John FR; Harvey, Jeffrey A.
Research in the Mathematical Sciences, Vol. 1, Issue 1
DOI: 10.1186/2197-9847-1-3

Massless black holes and conifolds in string theory
journal, September 1995

Strominger, Andrew
Nuclear Physics B, Vol. 451, Issue 1-2
DOI: 10.1016/0550-3213(95)00287-3

Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfaces
journal, April 1998

Kond?, Shigeyuki
Duke Mathematical Journal, Vol. 92, Issue 3
DOI: 10.1215/S0012-7094-98-09217-1

Mathieu twining characters for K3
journal, September 2010

Gaberdiel, Matthias R.; Hohenegger, Stefan; Volpato, Roberto
Journal of High Energy Physics, Vol. 2010, Issue 9
DOI: 10.1007/JHEP09(2010)058

Super-moonshine for Conway's largest sporadic group
journal, August 2007

Duncan, John F.
Duke Mathematical Journal, Vol. 139, Issue 2
DOI: 10.1215/S0012-7094-07-13922-X

Derived equivalences of K3 surfaces and twined elliptic genera
journal, February 2016

Duncan, John F. R.; Mack-Crane, Sander
Research in the Mathematical Sciences, Vol. 3, Issue 1
DOI: 10.1186/s40687-015-0050-9

Symmetries of K3 sigma models
journal, January 2012

Gaberdiel, Matthias R.; Hohenegger, Stefan; Volpato, Roberto
Communications in Number Theory and Physics, Vol. 6, Issue 1
DOI: 10.4310/CNTP.2012.v6.n1.a1

Mathieu moonshine and the geometry of K3 surfaces
journal, January 2014

Creutzig, Thomas; Höhn, Gerald
Communications in Number Theory and Physics, Vol. 8, Issue 2
DOI: 10.4310/CNTP.2014.v8.n2.a3

On the Elliptic Genera of Manifolds of Spin(7) Holonomy
journal, December 2015

Benjamin, Nathan; Harrison, Sarah M.; Kachru, Shamit
Annales Henri Poincaré, Vol. 17, Issue 10
DOI: 10.1007/s00023-015-0454-5

Umbral moonshine
journal, January 2014

Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A.
Communications in Number Theory and Physics, Vol. 8, Issue 2
DOI: 10.4310/CNTP.2014.v8.n2.a1

K3 surfaces, $\mathcal{N}=4$ dyons and the Mathieu group $M_{24}$
journal, January 2010

Cheng, Miranda C. N.
Communications in Number Theory and Physics, Vol. 4, Issue 4
DOI: 10.4310/CNTP.2010.v4.n4.a2

Dyon spectrum in generic Script N = 4 supersymmetric Bbb Z _N orbifolds
journal, January 2007

David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke
Journal of High Energy Physics, Vol. 2007, Issue 01
DOI: 10.1088/1126-6708/2007/01/016

Topological gauge theories and group cohomology
journal, April 1990

Dijkgraaf, Robbert; Witten, Edward
Communications in Mathematical Physics, Vol. 129, Issue 2
DOI: 10.1007/BF02096988

String compactifications and N=2 superconformal coset constructions
journal, June 1989

Font, A.; Ibáñez, L. E.; Quevedo, F.
Physics Letters B, Vol. 224, Issue 1-2
DOI: 10.1016/0370-2693(89)91054-X

Phases of N = 2 theories in two dimensions
journal, August 1993

Witten, Edward
Nuclear Physics B, Vol. 403, Issue 1-2
DOI: 10.1016/0550-3213(93)90033-L

Note on twisted elliptic genus of K3 surface
journal, January 2011

Eguchi, Tohru; Hikami, Kazuhiro
Physics Letters B, Vol. 694, Issue 4-5
DOI: 10.1016/j.physletb.2010.10.017

Quasi hope algebras, group cohomology and orbifold models
journal, January 1991

Dijkgraaf, R.; Pasquier, V.; Roche, P.
Nuclear Physics B - Proceedings Supplements, Vol. 18, Issue 2
DOI: 10.1016/0920-5632(91)90123-V

Twining genera of (0,4) supersymmetric sigma models on K3
journal, April 2014

Harrison, Sarah; Kachru, Shamit; Paquette, Natalie M.
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)048

A twisted non-compact elliptic genus
journal, March 2011

Ashok, Sujay K.; Troost, Jan
Journal of High Energy Physics, Vol. 2011, Issue 3
DOI: 10.1007/JHEP03(2011)067

Finite groups of automorphisms of K3 surfaces and the Mathieur group
journal, February 1988

Mukai, Shigeru
Inventiones Mathematicae, Vol. 94, Issue 1
DOI: 10.1007/BF01394352

Enhanced gauge symmetries and K3 surfaces
journal, September 1995

Aspinwall, Paul S.
Physics Letters B, Vol. 357, Issue 3
DOI: 10.1016/0370-2693(95)00957-M

Umbral Moonshine and K3 Surfaces
journal, June 2015

Cheng, Miranda C. N.; Harrison, Sarah
Communications in Mathematical Physics, Vol. 339, Issue 1
DOI: 10.1007/s00220-015-2398-5

Elliptic genera and quantum field theory
journal, December 1987

Witten, Edward
Communications in Mathematical Physics, Vol. 109, Issue 4
DOI: 10.1007/BF01208956

Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
journal, February 2015

Harvey, Jeffrey A.; Lee, Sungjay; Murthy, Sameer
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)110

The non-compact elliptic genus: mock or modular
journal, June 2010

Troost, Jan
Journal of High Energy Physics, Vol. 2010, Issue 6
DOI: 10.1007/JHEP06(2010)104

On the Landau-Ginzburg Description of n=2 Minimal Models
journal, October 1994

Witten, Edward
International Journal of Modern Physics A, Vol. 09, Issue 27
DOI: 10.1142/S0217751X9400193X

Mathieu moonshine and $ \mathcal{N}=2 $ string compactifications
journal, September 2013

Cheng, Miranda C. N.; Dong, Xi; Duncan, John F. R.
Journal of High Energy Physics, Vol. 2013, Issue 9
DOI: 10.1007/JHEP09(2013)030

On symmetries of N $$ \mathcal{N} $$ = (4, 4) sigma models on T 4
journal, August 2014

Volpato, Roberto
Journal of High Energy Physics, Vol. 2014, Issue 8
DOI: 10.1007/JHEP08(2014)094

A holomorphic anomaly in the elliptic genus
journal, June 2014

Murthy, Sameer
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)165

Product representation of dyon partition function in CHL models
journal, June 2006

David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke
Journal of High Energy Physics, Vol. 2006, Issue 06
DOI: 10.1088/1126-6708/2006/06/064

The operator algebra of orbifold models
journal, September 1989

Dijkgraaf, Robbert; Vafa, Cumrun; Verlinde, Erik
Communications in Mathematical Physics, Vol. 123, Issue 3
DOI: 10.1007/BF01238812

Kählerian K3 surfaces and Niemeier lattices. I
journal, October 2013

Nikulin, V. V.
Izvestiya: Mathematics, Vol. 77, Issue 5
DOI: 10.1070/IM2013v077n05ABEH002666

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Strominger, Andrew; Vafa, Cumrun
Physics Letters B, Vol. 379, Issue 1-4
DOI: 10.1016/0370-2693(96)00345-0

Space-time supersymmetry in compactified string theory and superconformal models
journal, January 1988

Gepner, Doron
Nuclear Physics B, Vol. 296, Issue 4
DOI: 10.1016/0550-3213(88)90397-5

Notes on the K3 Surface and the Mathieu Group M ₂₄
journal, March 2011

Eguchi, Tohru; Ooguri, Hirosi; Tachikawa, Yuji
Experimental Mathematics, Vol. 20, Issue 1
DOI: 10.1080/10586458.2011.544585

Sphere Packings, Lattices and Groups
book, January 1999

Conway, J. H.; Sloane, N. J. A.
Grundlehren der mathematischen Wissenschaften
DOI: 10.1007/978-1-4757-6568-7

CHL dyons and statistical entropy function from D1-D5 system
journal, November 2006

David, Justin R.; Sen, Ashoke
Journal of High Energy Physics, Vol. 2006, Issue 11
DOI: 10.1088/1126-6708/2006/11/072

Dyon spectrum in Script N = 4 supersymmetric type II string theories
journal, November 2006

David, Justin R.; Jatkar, Dileep P.; Sen, Ashoke
Journal of High Energy Physics, Vol. 2006, Issue 11
DOI: 10.1088/1126-6708/2006/11/073

Superconformal algebras and string compactification on manifolds with SU(n) holonomy
journal, March 1989

Eguchi, Tohru; Ooguri, Hirosi; Taormina, Anne
Nuclear Physics B, Vol. 315, Issue 1
DOI: 10.1016/0550-3213(89)90454-9

Dual pairs of type II string compactification
journal, November 1995

Sen, Ashoke; Vafa, Cumrun
Nuclear Physics B, Vol. 455, Issue 1-2
DOI: 10.1016/0550-3213(95)00498-H

Elliptic Genera of Symmetric Products and Second Quantized Strings
journal, April 1997

Dijkgraaf, Robbert; Moore, Gregory; Verlinde, Erik
Communications in Mathematical Physics, Vol. 185, Issue 1
DOI: 10.1007/s002200050087

Non-holomorphic modular forms and SL(2,R)/U(1) superconformal field theory
journal, March 2011

Eguchi, Tohru; Sugawara, Yuji
Journal of High Energy Physics, Vol. 2011, Issue 3
DOI: 10.1007/JHEP03(2011)107

On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine
journal, January 2012

Cheng, Miranda C. N.; Duncan, John F. R.
Communications in Number Theory and Physics, Vol. 6, Issue 3
DOI: 10.4310/CNTP.2012.v6.n3.a4

Maximally Supersymmetric String Theories in $D < 10$
journal, September 1995

Chaudhuri, Shyamoli; Hockney, George; Lykken, Joseph
Physical Review Letters, Vol. 75, Issue 12
DOI: 10.1103/PhysRevLett.75.2264

Borcherds–Kac–Moody symmetry of $\CN=4$ dyons
journal, January 2009

Cheng, Miranda C. N.; Dabholkar, Atish
Communications in Number Theory and Physics, Vol. 3, Issue 1
DOI: 10.4310/CNTP.2009.v3.n1.a2

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Title: K3 string theory, lattices and moonshine

Citation Formats

String theory dynamics in various dimensions journal, June 1995

Counting dyons in N = 4 string theory journal, January 1997

Generalized Mathieu Moonshine journal, January 2013

Moonshine in fivebrane spacetimes journal, January 2014

Type IIA-heterotic duals with maximal supersymmetry journal, January 1996

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory journal, April 2002

On two geometric theta lifts journal, October 2004

The overarching finite symmetry group of Kummer surfaces in the Mathieu group M 24 journal, August 2013

A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6 journal, January 2001

Discrete information from CHL black holes journal, November 2010

Stability conditions on $K3$ surfaces journal, February 2008

Two-dimensional black hole and singularities of CY manifolds journal, March 1996

Dyon spectrum in CHL models journal, April 2006

Mathieu Moonshine in the elliptic genus of K3 journal, October 2010

Localization and real Jacobi forms journal, April 2014

Umbral moonshine and the Niemeier lattices journal, June 2014

Massless black holes and conifolds in string theory journal, September 1995

Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfaces journal, April 1998

Mathieu twining characters for K3 journal, September 2010

Super-moonshine for Conway's largest sporadic group journal, August 2007

Derived equivalences of K3 surfaces and twined elliptic genera journal, February 2016

Symmetries of K3 sigma models journal, January 2012

Mathieu moonshine and the geometry of K3 surfaces journal, January 2014

On the Elliptic Genera of Manifolds of Spin(7) Holonomy journal, December 2015

Umbral moonshine journal, January 2014

K3 surfaces, $\mathcal{N}=4$ dyons and the Mathieu group $M_{24}$ journal, January 2010

Dyon spectrum in generic Script N = 4 supersymmetric Bbb Z N orbifolds journal, January 2007

Topological gauge theories and group cohomology journal, April 1990

String compactifications and N=2 superconformal coset constructions journal, June 1989

Phases of N = 2 theories in two dimensions journal, August 1993

Note on twisted elliptic genus of K3 surface journal, January 2011

Quasi hope algebras, group cohomology and orbifold models journal, January 1991

Twining genera of (0,4) supersymmetric sigma models on K3 journal, April 2014

A twisted non-compact elliptic genus journal, March 2011

Finite groups of automorphisms of K3 surfaces and the Mathieur group journal, February 1988

Enhanced gauge symmetries and K3 surfaces journal, September 1995

Umbral Moonshine and K3 Surfaces journal, June 2015

Elliptic genera and quantum field theory journal, December 1987

Elliptic genera of ALE and ALF manifolds from gauged linear sigma models journal, February 2015

The non-compact elliptic genus: mock or modular journal, June 2010

On the Landau-Ginzburg Description of n=2 Minimal Models journal, October 1994

Mathieu moonshine and $ \mathcal{N}=2 $ string compactifications journal, September 2013

On symmetries of N $$ \mathcal{N} $$ = (4, 4) sigma models on T 4 journal, August 2014

A holomorphic anomaly in the elliptic genus journal, June 2014

Product representation of dyon partition function in CHL models journal, June 2006

The operator algebra of orbifold models journal, September 1989

Kählerian K3 surfaces and Niemeier lattices. I journal, October 2013

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Space-time supersymmetry in compactified string theory and superconformal models journal, January 1988

Notes on the K3 Surface and the Mathieu Group M 24 journal, March 2011

Sphere Packings, Lattices and Groups book, January 1999

CHL dyons and statistical entropy function from D1-D5 system journal, November 2006

Dyon spectrum in Script N = 4 supersymmetric type II string theories journal, November 2006

Superconformal algebras and string compactification on manifolds with SU(n) holonomy journal, March 1989

Dual pairs of type II string compactification journal, November 1995

Elliptic Genera of Symmetric Products and Second Quantized Strings journal, April 1997

Non-holomorphic modular forms and SL(2,R)/U(1) superconformal field theory journal, March 2011

On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine journal, January 2012

Maximally Supersymmetric String Theories in D < 10 journal, September 1995

Borcherds–Kac–Moody symmetry of $\CN=4$ dyons journal, January 2009

String theory dynamics in various dimensions
journal, June 1995

Counting dyons in N = 4 string theory
journal, January 1997

Generalized Mathieu Moonshine
journal, January 2013

Moonshine in fivebrane spacetimes
journal, January 2014

Type IIA-heterotic duals with maximal supersymmetry
journal, January 1996

The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
journal, April 2002

On two geometric theta lifts
journal, October 2004

The overarching finite symmetry group of Kummer surfaces in the Mathieu group M 24
journal, August 2013

A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6
journal, January 2001

Discrete information from CHL black holes
journal, November 2010

Stability conditions on $K3$ surfaces
journal, February 2008

Two-dimensional black hole and singularities of CY manifolds
journal, March 1996

Dyon spectrum in CHL models
journal, April 2006

Mathieu Moonshine in the elliptic genus of K3
journal, October 2010

Localization and real Jacobi forms
journal, April 2014

Umbral moonshine and the Niemeier lattices
journal, June 2014

Massless black holes and conifolds in string theory
journal, September 1995

Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of $K3$ surfaces
journal, April 1998

Mathieu twining characters for K3
journal, September 2010

Super-moonshine for Conway's largest sporadic group
journal, August 2007

Derived equivalences of K3 surfaces and twined elliptic genera
journal, February 2016

Symmetries of K3 sigma models
journal, January 2012

Mathieu moonshine and the geometry of K3 surfaces
journal, January 2014

On the Elliptic Genera of Manifolds of Spin(7) Holonomy
journal, December 2015

Umbral moonshine
journal, January 2014

K3 surfaces, $\mathcal{N}=4$ dyons and the Mathieu group $M_{24}$
journal, January 2010

Dyon spectrum in generic Script N = 4 supersymmetric Bbb Z _N orbifolds
journal, January 2007

Topological gauge theories and group cohomology
journal, April 1990

String compactifications and N=2 superconformal coset constructions
journal, June 1989

Phases of N = 2 theories in two dimensions
journal, August 1993

Note on twisted elliptic genus of K3 surface
journal, January 2011

Quasi hope algebras, group cohomology and orbifold models
journal, January 1991

Twining genera of (0,4) supersymmetric sigma models on K3
journal, April 2014

A twisted non-compact elliptic genus
journal, March 2011

Finite groups of automorphisms of K3 surfaces and the Mathieur group
journal, February 1988

Enhanced gauge symmetries and K3 surfaces
journal, September 1995

Umbral Moonshine and K3 Surfaces
journal, June 2015

Elliptic genera and quantum field theory
journal, December 1987

Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
journal, February 2015

The non-compact elliptic genus: mock or modular
journal, June 2010

On the Landau-Ginzburg Description of n=2 Minimal Models
journal, October 1994

Mathieu moonshine and $ \mathcal{N}=2 $ string compactifications
journal, September 2013

On symmetries of N $$ \mathcal{N} $$ = (4, 4) sigma models on T 4
journal, August 2014

A holomorphic anomaly in the elliptic genus
journal, June 2014

Product representation of dyon partition function in CHL models
journal, June 2006

The operator algebra of orbifold models
journal, September 1989

Kählerian K3 surfaces and Niemeier lattices. I
journal, October 2013

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Space-time supersymmetry in compactified string theory and superconformal models
journal, January 1988

Notes on the K3 Surface and the Mathieu Group M ₂₄
journal, March 2011

Sphere Packings, Lattices and Groups
book, January 1999

CHL dyons and statistical entropy function from D1-D5 system
journal, November 2006

Dyon spectrum in Script N = 4 supersymmetric type II string theories
journal, November 2006

Superconformal algebras and string compactification on manifolds with SU(n) holonomy
journal, March 1989

Dual pairs of type II string compactification
journal, November 1995

Elliptic Genera of Symmetric Products and Second Quantized Strings
journal, April 1997

Non-holomorphic modular forms and SL(2,R)/U(1) superconformal field theory
journal, March 2011

On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine
journal, January 2012

Maximally Supersymmetric String Theories in $D < 10$
journal, September 1995

Borcherds–Kac–Moody symmetry of $\CN=4$ dyons
journal, January 2009