## This content will become publicly available on July 29, 2020

# F‐theory and Dark Energy

- Authors:

- Department of Physics and AstronomyUniversity of PennsylvaniaPhiladelphia PA 19104 USA

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1545895

- Grant/Contract Number:
- DOE Award DE‐SC0013528Y

- Resource Type:
- Publisher's Accepted Manuscript

- Journal Name:
- Fortschritte der Physik

- Additional Journal Information:
- Journal Name: Fortschritte der Physik Journal Volume: 67 Journal Issue: 10; Journal ID: ISSN 0015-8208

- Publisher:
- Wiley Blackwell (John Wiley & Sons)

- Country of Publication:
- Germany

- Language:
- English

### Citation Formats

```
Heckman, Jonathan J., Lawrie, Craig, Lin, Ling, and Zoccarato, Gianluca. F‐theory and Dark Energy. Germany: N. p., 2019.
Web. doi:10.1002/prop.201900057.
```

```
Heckman, Jonathan J., Lawrie, Craig, Lin, Ling, & Zoccarato, Gianluca. F‐theory and Dark Energy. Germany. doi:10.1002/prop.201900057.
```

```
Heckman, Jonathan J., Lawrie, Craig, Lin, Ling, and Zoccarato, Gianluca. Tue .
"F‐theory and Dark Energy". Germany. doi:10.1002/prop.201900057.
```

```
@article{osti_1545895,
```

title = {F‐theory and Dark Energy},

author = {Heckman, Jonathan J. and Lawrie, Craig and Lin, Ling and Zoccarato, Gianluca},

abstractNote = {},

doi = {10.1002/prop.201900057},

journal = {Fortschritte der Physik},

number = 10,

volume = 67,

place = {Germany},

year = {2019},

month = {7}

}

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Works referenced in this record:

##
Compact, singular G2-holonomy manifolds and M/heterotic/F-theory duality

journal, April 2018

- Braun, Andreas P.; Schäfer-Nameki, Sakura
- Journal of High Energy Physics, Vol. 2018, Issue 4

##
Explicit de Sitter flux vacua for global string models with chiral matter

journal, May 2014

- Cicoli, Michele; Klevers, Denis; Krippendorf, Sven
- Journal of High Energy Physics, Vol. 2014, Issue 5

##
Infinitely many M2-instanton corrections to M-theory on G2-manifolds

journal, September 2018

- Braun, Andreas P.; Del Zotto, Michele; Halverson, James
- Journal of High Energy Physics, Vol. 2018, Issue 9

##
A sufficient condition for de Sitter vacua in type IIB string theory

journal, January 2012

- Rummel, Markus; Westphal, Alexander
- Journal of High Energy Physics, Vol. 2012, Issue 1

##
Flux moduli stabilisation, supergravity algebras and no-go theorems

journal, January 2010

- de Carlos, Beatriz; Guarino, Adolfo; Moreno, Jesús M.
- Journal of High Energy Physics, Vol. 2010, Issue 1

##
Tops as building blocks for G 2 manifolds

journal, October 2017

- Braun, Andreas P.
- Journal of High Energy Physics, Vol. 2017, Issue 10

##
M-theory on Calabi-Yau Five-Folds

journal, May 2009

- Haupt, Alexander S.; Lukas, Andre; Stelle, K. S.
- Journal of High Energy Physics, Vol. 2009, Issue 05

##
Branes and Calibrated Geometries

journal, May 1999

- Gauntlett, Jerome P.; Lambert, Neil D.; West, Peter C.
- Communications in Mathematical Physics, Vol. 202, Issue 3

##
New complete noncompact Spin(7) manifolds

journal, January 2002

- Cvetič, M.; Gibbons, G. W.; Lü, H.
- Nuclear Physics B, Vol. 620, Issue 1-2

##
UV completions for non-critical strings

journal, July 2016

- Apruzzi, Fabio; Hassler, Falk; Heckman, Jonathan J.
- Journal of High Energy Physics, Vol. 2016, Issue 7

##
Higher dimensional supersymmetry in 4D superspace

journal, March 2002

- Arkani-Hamed, Nima; Gregoire, Thomas; Wacker, Jay
- Journal of High Energy Physics, Vol. 2002, Issue 03

##
Codimension-3 singularities and Yukawa couplings in F-theory

journal, December 2009

- Hayashi, Hirotaka; Kawano, Teruhiko; Tatar, Radu
- Nuclear Physics B, Vol. 823, Issue 1-2

##
The complete N =2, d = 10 supergravity

journal, May 1984

- Howe, P. S.; West, P. C.
- Nuclear Physics B, Vol. 238, Issue 1

##
Particle Physics Implications of F-Theory

journal, November 2010

- Heckman, Jonathan J.
- Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1

##
Strong Coupling and the Cosmological Constant

journal, September 1995

- Witten, Edward
- Modern Physics Letters A, Vol. 10, Issue 29

##
Covariant field equations of chiral N = 2 D = 10 supergravity

journal, October 1983

- Schwarz, John H.
- Nuclear Physics B, Vol. 226, Issue 2

##
Einstein metrics onS 3,R 3 andR 4 bundles

journal, February 1990

- Gibbons, G. W.; Page, D. N.; Pope, C. N.
- Communications in Mathematical Physics, Vol. 127, Issue 3

##
Metrics with Exceptional Holonomy

journal, November 1987

- Bryant, Robert L.
- The Annals of Mathematics, Vol. 126, Issue 3

##
Tachyons in classical de Sitter vacua

journal, June 2016

- Junghans, Daniel
- Journal of High Energy Physics, Vol. 2016, Issue 6

##
Effective Action from M-Theory on Twisted Connected Sum G 2-Manifolds

journal, November 2017

- Guio, Thaisa C. da C.; Jockers, Hans; Klemm, Albrecht
- Communications in Mathematical Physics, Vol. 359, Issue 2

##
Model building with $F$-theory

journal, January 2011

- Donagi, Ron; Wijnholt, Martijn
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 5

##
On classical de Sitter and Minkowski solutions with intersecting branes

journal, March 2018

- Andriot, David
- Journal of High Energy Physics, Vol. 2018, Issue 3

##
Compactifications of F-theory on Calabi-Yau threefolds. (I)

journal, August 1996

- Morrison, David R.; Vafa, Cumrun
- Nuclear Physics B, Vol. 473, Issue 1-2

##
On cosmological constants from α′-corrections

journal, June 2012

- Gautason, Friðrik Freyr; Junghans, Daniel; Zagermann, Marco
- Journal of High Energy Physics, Vol. 2012, Issue 6

##
GUTs and exceptional branes in F-theory — II. Experimental predictions

journal, January 2009

- Beasley, Chris; Heckman, Jonathan J.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2009, Issue 01

##
GUTs and exceptional branes in F-theory — I

journal, January 2009

- Beasley, Chris; Heckman, Jonathan J.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2009, Issue 01

##
Quantum Theory of Gravity. I. The Canonical Theory

journal, August 1967

- DeWitt, Bryce S.
- Physical Review, Vol. 160, Issue 5

##
A note on compactifications on spin(7)-holonomy manifolds

journal, May 2001

- Becker, Katrin
- Journal of High Energy Physics, Vol. 2001, Issue 05

##
Giant tachyons in the landscape

journal, February 2015

- Bena, Iosif; Graña, Mariana; Kuperstein, Stanislav
- Journal of High Energy Physics, Vol. 2015, Issue 2

##
String theory on group manifolds

journal, December 1986

- Gepner, Doron; Witten, Edward
- Nuclear Physics B, Vol. 278, Issue 3

##
On the cosmological implications of the string Swampland

journal, September 2018

- Agrawal, Prateek; Obied, Georges; Steinhardt, Paul J.
- Physics Letters B, Vol. 784

##
Supergravity in theory in 11 dimensions

journal, June 1978

- Cremmer, E.; Julia, B.; Scherk, J.
- Physics Letters B, Vol. 76, Issue 4

##
F-theory and AdS3/CFT2 (2, 0)

journal, June 2018

- Couzens, Christopher; Martelli, Dario; Schäfer-Nameki, Sakura
- Journal of High Energy Physics, Vol. 2018, Issue 6

##
Inconsistencies of the New No-Boundary Proposal

journal, September 2018

- Feldbrugge, Job; Lehners, Jean-Luc; Turok, Neil
- Universe, Vol. 4, Issue 10

##
D-branes at singularities, compactification, and hypercharge

journal, January 2007

- Buican, Matthew; Malyshev, Dmitry; Morrison, David R.
- Journal of High Energy Physics, Vol. 2007, Issue 01

##
The path integral measure, conformal factor problem and stability of the ground state of quantum gravity

journal, September 1990

- Mazur, Pawel O.; Mottola, Emil
- Nuclear Physics B, Vol. 341, Issue 1

##
String propagation in backgrounds with curved space-time

journal, January 1991

- Bars, Itzhak; Nemeschansky, Dennis
- Nuclear Physics B, Vol. 348, Issue 1

##
Ricci-flat K�hler metrics on affine algebraic manifolds. II

journal, March 1990

- Bando, Shigetoshi; Kobayashi, Ryoichi
- Mathematische Annalen, Vol. 287, Issue 1

##
The landscape of M-theory compactifications on seven-manifolds with G2 holonomy

journal, April 2015

- Halverson, James; Morrison, David R.
- Journal of High Energy Physics, Vol. 2015, Issue 4

##
Ten-dimensional supersymmetric Yang-Mills theory in terms of four-dimensional superfields

journal, August 1983

- Marcus, Neil; Sagnotti, Augusto; Siegel, Warren
- Nuclear Physics B, Vol. 224, Issue 1

##
A universal tachyon in nearly no-scale de Sitter compactifications

journal, July 2018

- Junghans, Daniel; Zagermann, Marco
- Journal of High Energy Physics, Vol. 2018, Issue 7

##
T-folds, doubled geometry, and the SU(2) WZW model

journal, June 2012

- Schulz, Michael B.
- Journal of High Energy Physics, Vol. 2012, Issue 6

##
Strings on curved space-times: black holes, torsion, and duality

journal, October 1992

- Ginsparg, Paul; Quevedo, Fernando
- Nuclear Physics B, Vol. 385, Issue 3

##
Inflationary constraints on type IIA string theory

journal, December 2007

- Hertzberg, Mark P.; Kachru, Shamit; Taylor, Washington
- Journal of High Energy Physics, Vol. 2007, Issue 12

##
On the Instability of Einstein's Spherical World

journal, May 1930

- Eddington, A. S.
- Monthly Notices of the Royal Astronomical Society, Vol. 90, Issue 7

##
Is Supersymmetry Really Broken?

journal, March 1995

- Witten, Edward
- International Journal of Modern Physics A, Vol. 10, Issue 08

##
Supersymmetry on curved spaces and holography

journal, August 2012

- Klare, Claudius; Tomasiello, Alessandro; Zaffaroni, Alberto
- Journal of High Energy Physics, Vol. 2012, Issue 8

##
A closed, expanding universe in string theory

journal, October 1992

- Nappi, Chiara R.; Witten, Edward
- Physics Letters B, Vol. 293, Issue 3-4

##
An *SL* (2,Bbb Z) anomaly in IIB supergravity and its F-theory interpretation

journal, November 1998

- Gaberdiel, Matthias R.; Green, Michael B.
- Journal of High Energy Physics, Vol. 1998, Issue 11

##
Gaugino condensation and the cosmological constant

journal, June 2015

- Quigley, Callum
- Journal of High Energy Physics, Vol. 2015, Issue 6

##
De Sitter string vacua from Kähler uplifting

journal, March 2007

- Westphal, Alexander
- Journal of High Energy Physics, Vol. 2007, Issue 03

##
On the de Sitter swampland criterion

journal, October 2018

- Andriot, David
- Physics Letters B, Vol. 785

##
F-theory vacua with ${\mathbb{Z}}_{3}$ gauge symmetry

journal, September 2015

- Cvetič, Mirjam; Donagi, Ron; Klevers, Denis
- Nuclear Physics B, Vol. 898

##
Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem

journal, February 2001

- Maldacena, Juan; NuÑEz, Carlos
- International Journal of Modern Physics A, Vol. 16, Issue 05

##
Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory

journal, June 2003

- Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2003, Issue 06

##
Constraints on string cosmology

journal, March 2012

- Green, Stephen R.; Martinec, Emil J.; Quigley, Callum
- Classical and Quantum Gravity, Vol. 29, Issue 7

##
CFT's from Calabi–Yau four-folds

journal, September 2000

- Gukov, Sergei; Vafa, Cumrun; Witten, Edward
- Nuclear Physics B, Vol. 584, Issue 1-2

##
Physics of F-theory compactifications without section

journal, December 2014

- Anderson, Lara B.; García-Etxebarria, Iñaki; Grimm, Thomas W.
- Journal of High Energy Physics, Vol. 2014, Issue 12

##
Non-commutative worldvolume geometries: D-branes on SU(2) and fuzzy spheres

journal, September 1999

- Alekseev, Anton Yu; Recknagel, Andreas; Schomerus, Volker
- Journal of High Energy Physics, Vol. 1999, Issue 09

##
De Sitter from T-branes

journal, March 2016

- Cicoli, Michele; Quevedo, Fernando; Valandro, Roberto
- Journal of High Energy Physics, Vol. 2016, Issue 3

##
Anthropic Bound on the Cosmological Constant

journal, November 1987

- Weinberg, Steven
- Physical Review Letters, Vol. 59, Issue 22

##
Moduli stabilization and cosmology of type IIB on SU(2)-structure orientifolds

journal, April 2010

- Caviezel, Claudio; Wrase, Timm; Zagermann, Marco
- Journal of High Energy Physics, Vol. 2010, Issue 4

##
Micromanaging de Sitter holography

journal, November 2010

- Dong, Xi; Horn, Bart; Silverstein, Eva
- Classical and Quantum Gravity, Vol. 27, Issue 24

##
Topological quantum field theory

journal, September 1988

- Witten, Edward
- Communications in Mathematical Physics, Vol. 117, Issue 3

##
What if string theory has no de Sitter vacua?

journal, September 2018

- Danielsson, Ulf H.; Riet, Thomas Van
- International Journal of Modern Physics D, Vol. 27, Issue 12

##
Refining the boundaries of the classical de Sitter landscape

journal, March 2017

- Andriot, David; Blåbäck, Johan
- Journal of High Energy Physics, Vol. 2017, Issue 3

##
On the stability of the Einstein static universe

journal, May 2003

- Barrow, John D.; Ellis, George F. R.; Maartens, Roy
- Classical and Quantum Gravity, Vol. 20, Issue 11

##
Conifold transitions and five-brane condensation in M-theory on *Spin* (7) manifolds

journal, January 2003

- Gukov, Sergei; Sparks, James; Tong, David
- Classical and Quantum Gravity, Vol. 20, Issue 4

##
Breaking GUT groups in F-theory

journal, January 2011

- Donagi, Ron; Wijnholt, Martijn
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 6

##
Supersymmetry, G-flux and Spin(7) manifolds

journal, September 2002

- Acharya, Bobby S.; Ossa, Xenia De La; Gukov, Sergei
- Journal of High Energy Physics, Vol. 2002, Issue 09

##
Spin(7)-manifolds as generalized connected sums and 3d N = 1 $$ \mathcal{N}=1 $$ theories

journal, June 2018

- Braun, Andreas P.; Schäfer-Nameki, Sakura
- Journal of High Energy Physics, Vol. 2018, Issue 6

##
Abelian duality in WZW models

journal, July 1996

- Gaberdiel, Matthias R.
- Nuclear Physics B, Vol. 471, Issue 1-2

##
Accelerated universes from type IIA compactifications

journal, March 2014

- Blåbäck, Johan; Danielsson, Ulf; Dibitetto, Giuseppe
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03

##
The emergent universe: inflationary cosmology with no singularity

journal, November 2003

- Ellis, George F. R.; Maartens, Roy
- Classical and Quantum Gravity, Vol. 21, Issue 1

##
The emergent universe: an explicit construction

journal, November 2003

- Ellis, George F. R.; Murugan, Jeff; Tsagas, Christos G.
- Classical and Quantum Gravity, Vol. 21, Issue 1

##
Stability constraints on classical de Sitter vacua

journal, September 2011

- Shiu, Gary; Sumitomo, Yoske
- Journal of High Energy Physics, Vol. 2011, Issue 9

##
F-theory on Spin(7) manifolds: weak-coupling limit

journal, February 2014

- Bonetti, Federico; Grimm, Thomas W.; Palti, Eran
- Journal of High Energy Physics, Vol. 2014, Issue 2

##
Heterotic superstring vacua in four dimensions based on non-compact affine current algebras

journal, April 1990

- Bars, Itzhak
- Nuclear Physics B, Vol. 334, Issue 1

##
Compactifications of F-theory on Calabi-Yau threefolds (II)

journal, September 1996

- Morrison, David R.; Vafa, Cumrun
- Nuclear Physics B, Vol. 476, Issue 3

##
New examples of compact manifolds with holonomy Spin(7)

journal, February 2011

- Clancy, Robert
- Annals of Global Analysis and Geometry, Vol. 40, Issue 2

##
Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops

journal, May 2017

- Braun, Andreas P.; Del Zotto, Michele
- Journal of High Energy Physics, Vol. 2017, Issue 5

##
The de Sitter swampland conjecture and supersymmetric AdS vacua

journal, October 2018

- Conlon, Joseph P.
- International Journal of Modern Physics A, Vol. 33, Issue 29

##
On Spin(7) holonomy metric based on SU(3)/U(1): I

journal, October 2002

- Kanno, Hiroaki; Yasui, Yukinori
- Journal of Geometry and Physics, Vol. 43, Issue 4

##
Fivebranes, membranes and non-perturbative string theory

journal, December 1995

- Becker, Katrin; Becker, Melanie; Strorninger, Andrew
- Nuclear Physics B, Vol. 456, Issue 1-2

##
Rigid supersymmetric theories in curved superspace

journal, June 2011

- Festuccia, Guido; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2011, Issue 6

##
Hitchin’s equations and $M$ -theory phenomenology

journal, July 2011

- Pantev, Tony; Wijnholt, Martijn
- Journal of Geometry and Physics, Vol. 61, Issue 7

##
Lectures on F-theory compactifications and model building

journal, October 2010

- Weigand, Timo
- Classical and Quantum Gravity, Vol. 27, Issue 21

##
Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

journal, March 2005

- Balasubramanian, Vijay; Berglund, Per; Conlon, Joseph P.
- Journal of High Energy Physics, Vol. 2005, Issue 03

##
New cohomogeneity one metrics with Spin(7) holonomy

journal, March 2004

- Cvetič, M.; Gibbons, G. W.; Lü, H.
- Journal of Geometry and Physics, Vol. 49, Issue 3-4

##
Covariant non-commutative space–time

journal, May 2015

- Heckman, Jonathan J.; Verlinde, Herman
- Nuclear Physics B, Vol. 894

##
De Sitter vacua in no-scale supergravities and Calabi-Yau string models

journal, June 2008

- Covi, Laura; Gomez-Reino, Marta; Gross, Christian
- Journal of High Energy Physics, Vol. 2008, Issue 06

##
Supersymmetry breaking by fluxes

journal, October 2018

- Sethi, Savdeep
- Journal of High Energy Physics, Vol. 2018, Issue 10

##
Erratum: Correlated Keldysh-Faisal-Reiss theory of above-threshold double ionization of He in intense laser fields

journal, April 1995

- Becker, Andreas; Faisal, Farhad H. M.
- Physical Review A, Vol. 51, Issue 4

##
Quantization of four-form fluxes and dynamical neutralization of the cosmological constant

journal, May 2000

- Bousso, Raphael; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2000, Issue 06

##
Terminal singularities, Milnor numbers, and matter in F-theory

journal, January 2018

- Arras, Philipp; Grassi, Antonella; Weigand, Timo
- Journal of Geometry and Physics, Vol. 123

##
6D fractional quantum Hall effect

journal, May 2018

- Heckman, Jonathan J.; Tizzano, Luigi
- Journal of High Energy Physics, Vol. 2018, Issue 5

##
D-branes, holonomy and M-theory

journal, July 2001

- Gomis, Jaume
- Nuclear Physics B, Vol. 606, Issue 1-2

##
Constraining de Sitter Space in String Theory

journal, August 2015

- Kutasov, David; Maxfield, Travis; Melnikov, Ilarion
- Physical Review Letters, Vol. 115, Issue 7

##
M-theory on Spin(7) manifolds

journal, March 2002

- Gukov, Sergei; Sparks, James
- Nuclear Physics B, Vol. 625, Issue 1-2

##
Discrete gauge symmetries by Higgsing in four-dimensional F-theory compactifications

journal, December 2014

- Mayrhofer, Christoph; Palti, Eran; Till, Oskar
- Journal of High Energy Physics, Vol. 2014, Issue 12

##
The gravitational sector of 2d (0, 2) F-theory vacua

journal, May 2017

- Lawrie, Craig; Schäfer-Nameki, Sakura; Weigand, Timo
- Journal of High Energy Physics, Vol. 2017, Issue 5

##
Higgs Bundles and UV Completion in F-Theory

journal, January 2014

- Donagi, Ron; Wijnholt, Martijn
- Communications in Mathematical Physics, Vol. 326, Issue 2

##
de Sitter vacua in type IIB string theory: classical solutions and quantum corrections

journal, July 2014

- Dasgupta, Keshav; Gwyn, Rhiannon; McDonough, Evan
- Journal of High Energy Physics, Vol. 2014, Issue 7

##
F-theory and AdS3/CFT2

journal, August 2017

- Couzens, Christopher; Lawrie, Craig; Martelli, Dario
- Journal of High Energy Physics, Vol. 2017, Issue 8

##
Exploring curved superspace

journal, August 2012

- Dumitrescu, Thomas T.; Festuccia, Guido; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2012, Issue 8

##
Towards generalized mirror symmetry for twisted connected sum G2 manifolds

journal, March 2018

- Braun, Andreas P.; Del Zotto, Michele
- Journal of High Energy Physics, Vol. 2018, Issue 3

##
holonomy

journal, June 1989

- Bryant, Robert L.; Salamon, Simon M.
- Duke Mathematical Journal, Vol. 58, Issue 3

##
Path integrals and the indefiniteness of the gravitational action

journal, June 1978

- Gibbons, G. W.; Hawking, S. W.; Perry, M. J.
- Nuclear Physics B, Vol. 138, Issue 1

##
On the cosmology of type IIA compactifications on SU(3)-structure manifolds

journal, April 2009

- Caviezel, Claudio; Koerber, Paul; Körs, Simon
- Journal of High Energy Physics, Vol. 2009, Issue 04

##
De Sitter space and eternity

journal, July 2008

- Polyakov, A. M.
- Nuclear Physics B, Vol. 797, Issue 1-2

##
Geometrical interpretation of D-branes in gauged WZW models

journal, July 2001

- Maldacena, Juan; Seiberg, Nathan; Moore, Gregory
- Journal of High Energy Physics, Vol. 2001, Issue 07

##
F-theory on genus-one fibrations

journal, August 2014

- Braun, Volker; Morrison, David R.
- Journal of High Energy Physics, Vol. 2014, Issue 8

##
Non-supersymmetric F-theory compactifications on Spin(7) manifolds

journal, January 2014

- Bonetti, Federico; Grimm, Thomas W.; Pugh, Tom G.
- Journal of High Energy Physics, Vol. 2014, Issue 1

##
Asymptotically cylindrical Calabi–Yau 3–folds from weak Fano 3–folds

journal, January 2013

- Corti, Alessio; Haskins, Mark; Nordström, Johannes
- Geometry & Topology, Vol. 17, Issue 4

##
$\mathrm{G}_{2}$ -manifolds and associative submanifolds via semi-Fano $3$ -folds

journal, July 2015

- Corti, Alessio; Haskins, Mark; Nordström, Johannes
- Duke Mathematical Journal, Vol. 164, Issue 10

##
A new construction of compact 8-manifolds with holonomy ${\rm Spin}(7)$

journal, January 1999

- Joyce, Dominic
- Journal of Differential Geometry, Vol. 53, Issue 1

##
Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes

journal, January 1951

- Berger, Marcel
- Bulletin de la Société mathématique de France, Vol. 79

##
Non-abelian bosonization in two dimensions

journal, December 1984

- Witten, Edward
- Communications in Mathematical Physics, Vol. 92, Issue 4

##
On classical de Sitter vacua in string theory

journal, March 2010

- Wrase, T.; Zagermann, M.
- Fortschritte der Physik, Vol. 58, Issue 7-9

##
An expanding universe in string theory

journal, December 1989

- Antoniadis, I.; Bachas, C.; Ellis, John
- Nuclear Physics B, Vol. 328, Issue 1

##
Quantum Field Theory in De Sitter Space: Renormalization by Point-Splitting

journal, March 1978

- Bunch, T. S.; Davies, P. C. W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1700