Burns space and holography

Costello, Kevin; Paquette, Natalie M.; Sharma, Atul

doi:10.1007/jhep10(2023)174

Title: Burns space and holography

Journal Article · 26 October 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2023)174 · OSTI ID:2339626

Costello, Kevin ^[1]; Paquette, Natalie M. ^[2];

^[3]

Perimeter Institute for Theoretical Physics, Ontario (Canada); University of Washington
University of Washington, Seattle, WA (United States)
Harvard University, Cambridge, MA (United States)

We elaborate on various aspects of our top-down celestial holographic duality wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler geometry known as Burns space. The bulk theory includes an open string sector comprising a 4d WZW model and a closed string sector called “Mabuchi gravity” capturing fluctuations of the Kähler potential. Starting with the type I topological B-model on the twistor space of flat space, we obtain the twistor space of Burns space from the backreaction of a stack of N coincident D1 branes, while the chiral algebra is obtained from (a twist of) the brane worldvolume theory. One striking consequence of this duality is that all loop-level scattering amplitudes of the theory on Burns space can be expressed as correlation functions of an explicit 2d chiral algebra.

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Research Organization:: University of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0022924

OSTI ID:: 2339626

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (94)

Conformal block expansion in celestial CFT Atanasov, Alexander; Melton, Walker; Raclariu, Ana-Maria Physical Review D, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevD.104.126033	journal	December 2021
Gluon Scattering on Self-Dual Radiative Gauge Fields Adamo, Tim; Mason, Lionel; Sharma, Atul Communications in Mathematical Physics, Vol. 399, Issue 3 https://doi.org/10.1007/s00220-022-04582-9	journal	December 2022
Twistor Actions for Integrable Systems Penna, Robert F. Journal of High Energy Physics, Vol. 2021, Issue 9 https://doi.org/10.1007/JHEP09(2021)140	journal	September 2021
All-order celestial OPE from on-shell recursion Ren, Lecheng; Schreiber, Anders; Sharma, Atul Journal of High Energy Physics, Vol. 2023, Issue 10 https://doi.org/10.1007/JHEP10(2023)080	journal	October 2023
The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space Bittleston, Roland; Heuveline, Simon; Skinner, David Journal of High Energy Physics, Vol. 2023, Issue 9 https://doi.org/10.1007/JHEP09(2023)008	journal	September 2023
Anomaly cancellation in the topological string Costello, Kevin; Li, Si Advances in Theoretical and Mathematical Physics, Vol. 24, Issue 7 https://doi.org/10.4310/ATMP.2020.v24.n7.a2	journal	January 2020
The 4d/2d correspondence in twistor space and holomorphic Wilson lines Bu, Wei; Casali, Eduardo Journal of High Energy Physics, Vol. 2022, Issue 11 https://doi.org/10.1007/JHEP11(2022)076	journal	November 2022
Gravitational multi-instantons Gibbons, G. W.; Hawking, S. W. Physics Letters B, Vol. 78, Issue 4 https://doi.org/10.1016/0370-2693(78)90478-1	journal	October 1978
Twistors, Kahler Manifolds, and Bimeromorphic Geometry. II Lebrun, Claude; Poon, Yat-Sun Journal of the American Mathematical Society, Vol. 5, Issue 2 https://doi.org/10.2307/2152770	journal	April 1992
The Positive Action conjecture and asymptotically Euclidean metrics in quantum gravity Gibbons, G. W.; Pope, C. N. Communications in Mathematical Physics, Vol. 66, Issue 3 https://doi.org/10.1007/BF01197188	journal	October 1979
The nonlinear graviton in interaction with a photon Flaherty, Edward J. General Relativity and Gravitation, Vol. 9, Issue 11 https://doi.org/10.1007/BF00784657	journal	November 1978
New supersymmetric bubbles on AdS 3 × S 3 Bobev, Nikolay; Niehoff, Benjamin E.; Warner, Nicholas P. Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)013	journal	October 2012
Scattering on plane waves and the double copy Adamo, Tim; Casali, Eduardo; Mason, Lionel Classical and Quantum Gravity, Vol. 35, Issue 1 https://doi.org/10.1088/1361-6382/aa9961	journal	December 2017
Yang-Mills instantons and the S-matrix Hawking, S. W.; Pope, C. N. Nuclear Physics B, Vol. 161, Issue 1 https://doi.org/10.1016/0550-3213(79)90128-7	journal	December 1979
Graviton scattering in self-dual radiative space-times Adamo, Tim; Mason, Lionel; Sharma, Atul Classical and Quantum Gravity, Vol. 40, Issue 9 https://doi.org/10.1088/1361-6382/acc233	journal	March 2023
Ambidextrous light transforms for celestial amplitudes Sharma, Atul Journal of High Energy Physics, Vol. 2022, Issue 1 https://doi.org/10.1007/JHEP01(2022)031	journal	January 2022
Cyclic homology and the Lie algebra homology of matrices Loday, Jean-Louis; Quillen, Daniel Commentarii Mathematici Helvetici, Vol. 59, Issue 1 https://doi.org/10.1007/BF02566367	journal	December 1984
S-matrix generating functional and effective action Jevicki, A.; Lee, Choonkyu Physical Review D, Vol. 37, Issue 6 https://doi.org/10.1103/PhysRevD.37.1485	journal	March 1988
Connected sums of self-dual manifolds and deformations of singular spaces Donaldson, S.; Friedman, R. Nonlinearity, Vol. 2, Issue 2 https://doi.org/10.1088/0951-7715/2/2/002	journal	May 1989
Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles Donaldson, S. K. Proceedings of the London Mathematical Society, Vol. s3-50, Issue 1 https://doi.org/10.1112/plms/s3-50.1.1	journal	January 1985
Lectures on celestial amplitudes Pasterski, Sabrina The European Physical Journal C, Vol. 81, Issue 12 https://doi.org/10.1140/epjc/s10052-021-09846-7	journal	December 2021
Hair in the back of a throat: non-supersymmetric multi-center solutions from Kähler manifolds Bobev, Nikolay; Niehoff, Ben; Warner, Nicholas P. Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)149	journal	October 2011
Lectures on twistor theory Adamo, Timothy Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017) https://doi.org/10.22323/1.323.0003	conference	March 2018
Self-dual 2-forms and gravity Capovilla, R.; Dell, J.; Jacobson, T. Classical and Quantum Gravity, Vol. 8, Issue 1 https://doi.org/10.1088/0264-9381/8/1/009	journal	January 1991
Quantum gravitational bubbles Hawking, S. W.; Page, D. N.; Pope, C. N. Nuclear Physics B, Vol. 170, Issue 2 https://doi.org/10.1016/0550-3213(80)90151-0	journal	October 1980
Celestial operator products of gluons and gravitons Pate, M.; Raclariu, A. -M.; Strominger, A. Reviews in Mathematical Physics, Vol. 33, Issue 09 https://doi.org/10.1142/S0129055X21400031	journal	July 2021
The Weil-Petersson geometry of the moduli space ofSU(n≧3) (Calabi-Yau) manifolds I Todorov, Andrey N. Communications in Mathematical Physics, Vol. 126, Issue 2 https://doi.org/10.1007/BF02125128	journal	December 1989
Flat space amplitudes and conformal symmetry of the celestial sphere Pasterski, Sabrina; Shao, Shu-Heng; Strominger, Andrew Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.065026	journal	September 2017
Twistors, Kahler Manifolds, and Bimeromorphic Geometry. I Lebrun, Claude Journal of the American Mathematical Society, Vol. 5, Issue 2 https://doi.org/10.2307/2152769	journal	April 1992
Associativity of One-Loop Corrections to the Celestial Operator Product Expansion Costello, Kevin; Paquette, Natalie M. Physical Review Letters, Vol. 129, Issue 23 https://doi.org/10.1103/PhysRevLett.129.231604	journal	December 2022
Deforming soft algebras for gauge theory Melton, Walker; Narayanan, Sruthi A.; Strominger, Andrew Journal of High Energy Physics, Vol. 2023, Issue 3 https://doi.org/10.1007/JHEP03(2023)233	journal	March 2023
Einstein–Maxwell gravitational instantons and five-dimensional solitonic strings Dunajski, Maciej; Hartnoll, Sean A. Classical and Quantum Gravity, Vol. 24, Issue 7 https://doi.org/10.1088/0264-9381/24/7/010	journal	March 2007
Four-dimensional avatars of two-dimensional RCFT Losev, Andrei; Moore, Gregory; Nekrasov, Nikita Nuclear Physics B - Proceedings Supplements, Vol. 46, Issue 1-3 https://doi.org/10.1016/0920-5632(96)00015-1	journal	March 1996
Twistor actions for non-self-dual fields; a new foundation for twistor-string theory Mason, Lionel J. Journal of High Energy Physics, Vol. 2005, Issue 10 https://doi.org/10.1088/1126-6708/2005/10/009	journal	October 2005
Counter-examples to the generalized positive action conjecture LeBrun, Claude Communications in Mathematical Physics, Vol. 118, Issue 4 https://doi.org/10.1007/BF01221110	journal	December 1988
M theory as a matrix model: A conjecture Banks, T.; Fischler, W.; Shenker, S. H. Physical Review D, Vol. 55, Issue 8 https://doi.org/10.1103/PhysRevD.55.5112	journal	April 1997
Chiral Algebras Beilinson, Alexander; Drinfeld, Vladimir Colloquium Publications https://doi.org/10.1090/coll/051	journal	January 2004
Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory Bittleston, Roland; Skinner, David Journal of High Energy Physics, Vol. 2023, Issue 2 https://doi.org/10.1007/JHEP02(2023)227	journal	February 2023
On the associativity of 1-loop corrections to the celestial operator product in gravity Bittleston, Roland Journal of High Energy Physics, Vol. 2023, Issue 1 https://doi.org/10.1007/JHEP01(2023)018	journal	January 2023
Twistor Geometry and Field Theory Ward, R. S.; Wells, Jr, Raymond O. Cambridge University Press https://doi.org/10.1017/CBO9780511524493	book	January 2009
Gravitational instantons Hawking, S. W. Physics Letters A, Vol. 60, Issue 2 https://doi.org/10.1016/0375-9601(77)90386-3	journal	February 1977
Random geometry, quantum gravity and the Kähler potential Ferrari, Frank; Klevtsov, Semyon; Zelditch, Steve Physics Letters B, Vol. 705, Issue 4 https://doi.org/10.1016/j.physletb.2011.09.098	journal	November 2011
Gauge Theory And Integrability, II Costello, Kevin; Witten, Edward; Yamazaki, Masahito Notices of the International Congress of Chinese Mathematicians, Vol. 6, Issue 1 https://doi.org/10.4310/ICCM.2018.v6.n1.a7	journal	January 2018
The propagation of particles in spacetime foam Hawking, S. W.; Page, D. N.; Pope, C. N. Physics Letters B, Vol. 86, Issue 2 https://doi.org/10.1016/0370-2693(79)90812-8	journal	September 1979
One-loop corrections to the celestial chiral algebra from Koszul Duality Fernández, Víctor E. Journal of High Energy Physics, Vol. 2023, Issue 4 https://doi.org/10.1007/JHEP04(2023)124	journal	April 2023
Fourier transform of the multicenter product of 1shydrogenic orbitals and Coulomb or Yukawa potentials and the analytically reduced form for subsequent integrals that include plane waves Straton, Jack C. Physical Review A, Vol. 39, Issue 10 https://doi.org/10.1103/PhysRevA.39.5062	journal	May 1989
Twistorial monopoles & chiral algebras Garner, Niklas; Paquette, Natalie M. Journal of High Energy Physics, Vol. 2023, Issue 8 https://doi.org/10.1007/JHEP08(2023)088	journal	August 2023
Nonlinear gravitons and curved twistor theory Penrose, Roger General Relativity and Gravitation, Vol. 7, Issue 1 https://doi.org/10.1007/BF00762011	journal	January 1976
N = 2 heterotic strings Ooguri, Hirosi; Vafa, Cumrum Nuclear Physics B, Vol. 367, Issue 1 https://doi.org/10.1016/0550-3213(91)90042-V	journal	December 1991
Recursive calculations for processes with n gluons Berends, F. A.; Giele, W. T. Nuclear Physics B, Vol. 306, Issue 4 https://doi.org/10.1016/0550-3213(88)90442-7	journal	September 1988
Goldilocks modes and the three scattering bases Donnay, Laura; Pasterski, Sabrina; Puhm, Andrea Journal of High Energy Physics, Vol. 2022, Issue 6 https://doi.org/10.1007/JHEP06(2022)124	journal	June 2022
Spacetime foam in twistor string theory Hartnoll, Sean A.; Policastro, Giuseppe Advances in Theoretical and Mathematical Physics, Vol. 10, Issue 2 https://doi.org/10.4310/ATMP.2006.v10.n2.a2	journal	January 2006
The Topological Vertex Aganagic, Mina; Klemm, Albrecht; Mari�o, Marcos Communications in Mathematical Physics, Vol. 254, Issue 2 https://doi.org/10.1007/s00220-004-1162-z	journal	September 2004
On amplitudes in the self-dual sector of Yang-Mills theory Rosly, A. A.; Selivanov, K. G. Physics Letters B, Vol. 399, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)00268-2	journal	April 1997
Chiral algebras from Ω-deformation Oh, Jihwan; Yagi, Junya Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)143	journal	August 2019
Infinite Chiral Symmetry in Four Dimensions Beem, Christopher; Lemos, Madalena; Liendo, Pedro Communications in Mathematical Physics, Vol. 336, Issue 3 https://doi.org/10.1007/s00220-014-2272-x	journal	January 2015
On twistor spaces of the class $\mathscr{C}$ Campana, F. Journal of Differential Geometry, Vol. 33, Issue 2 https://doi.org/10.4310/jdg/1214446329	journal	January 1991
Supersymmetric localization in AdS5 and the protected chiral algebra Bonetti, Federico; Rastelli, Leonardo Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)098	journal	August 2018
Revisiting the conformally soft sector with celestial diamonds Pasterski, Sabrina; Puhm, Andrea; Trevisani, Emilio Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)143	journal	November 2021
General Relativity Wald, Robert M. https://doi.org/10.7208/chicago/9780226870373.001.0001	book	January 1984
Condition of Self-Duality for SU(2) Gauge Fields on Euclidean Four-Dimensional Space Yang, Chen Ning Physical Review Letters, Vol. 38, Issue 24 https://doi.org/10.1103/PhysRevLett.38.1377	journal	June 1977
A holographic reduction of Minkowski space–time de Boer, Jan; Solodukhin, Sergey N. Nuclear Physics B, Vol. 665 https://doi.org/10.1016/S0550-3213(03)00494-2	journal	August 2003
Real methods in twistor theory Woodhouse, N. M. J. Classical and Quantum Gravity, Vol. 2, Issue 3 https://doi.org/10.1088/0264-9381/2/3/006	journal	May 1985
A large-N reduced model as superstring Ishibashi, Nobuyuki; Kawai, Hikaru; Kitazawa, Yoshihisa Nuclear Physics B, Vol. 498, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00290-3	journal	August 1997
On the gauge theory/geometry correspondence Gopakumar, Rajesh; Vafa, Cumrun Advances in Theoretical and Mathematical Physics, Vol. 3, Issue 5 https://doi.org/10.4310/ATMP.1999.v3.n5.a5	journal	January 1999
Kählerian Twistor Spaces Hitchin, N. J. Proceedings of the London Mathematical Society, Vol. s3-43, Issue 1 https://doi.org/10.1112/plms/s3-43.1.133	journal	July 1981
Quantizing the Non-linear Graviton Bittleston, Roland; Skinner, David; Sharma, Atul Communications in Mathematical Physics, Vol. 403, Issue 3 https://doi.org/10.1007/s00220-023-04828-0	journal	September 2023
Topological Strings and Integrable Hierarchies Aganagic, Mina; Dijkgraaf, Robbert; Klemm, Albrecht Communications in Mathematical Physics, Vol. 261, Issue 2 https://doi.org/10.1007/s00220-005-1448-9	journal	October 2005
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
All-order celestial OPE in the MHV sector Adamo, Tim; Bu, Wei; Casali, Eduardo Journal of High Energy Physics, Vol. 2023, Issue 3 https://doi.org/10.1007/JHEP03(2023)252	journal	March 2023
Uplifting AdS3/CFT2 to flat space holography Ball, Adam; Himwich, Elizabeth; Narayanan, Sruthi A. Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)168	journal	August 2019
Conformal basis for flat space amplitudes Pasterski, Sabrina; Shao, Shu-Heng Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.065022	journal	September 2017
w1+∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries Strominger, Andrew Physical Review Letters, Vol. 127, Issue 22 https://doi.org/10.1103/PhysRevLett.127.221601	journal	November 2021
Quantum geometry of bosonic strings Polyakov, A. M. Physics Letters B, Vol. 103, Issue 3 https://doi.org/10.1016/0370-2693(81)90743-7	journal	July 1981
Top-Down Holography in an Asymptotically Flat Spacetime Costello, Kevin; Paquette, Natalie M.; Sharma, Atul Physical Review Letters, Vol. 130, Issue 6 https://doi.org/10.1103/PhysRevLett.130.061602	journal	February 2023
Explicit self-dual metrics on $\mathbb{CP}_2 \# \cdots\#\mathbb{CP}_2$ LeBrun, Claude Journal of Differential Geometry, Vol. 34, Issue 1 https://doi.org/10.4310/jdg/1214446999	journal	January 1991
The homology of matrix Lie algebras over rings and the Hochschild homology Tsygan, B. L. Russian Mathematical Surveys, Vol. 38, Issue 2 https://doi.org/10.1070/RM1983v038n02ABEH003481	journal	April 1983
A course in amplitudes Taylor, Tomasz R. Physics Reports, Vol. 691 https://doi.org/10.1016/j.physrep.2017.05.002	journal	May 2017
Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and Its Peterson-Weil Metric Tian, Gang Mathematical Aspects of String Theory https://doi.org/10.1142/9789812798411_0029	conference	September 1987
Holographic symmetry algebras for gauge theory and gravity Guevara, A.; Himwich, E.; Pate, M. Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)152	journal	November 2021
Celestial holography meets twisted holography: 4d amplitudes from chiral correlators Costello, Kevin; Paquette, Natalie M. Journal of High Energy Physics, Vol. 2022, Issue 10 https://doi.org/10.1007/JHEP10(2022)193	journal	October 2022
2D Kac-Moody symmetry of 4D Yang-Mills theory He, Temple; Mitra, Prahar; Strominger, Andrew Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)137	journal	October 2016
Twisted Supergravity and Koszul Duality: A Case Study in AdS$$_3$$ Costello, Kevin; Paquette, Natalie M. Communications in Mathematical Physics, Vol. 384, Issue 1 https://doi.org/10.1007/s00220-021-04065-3	journal	April 2021
$K$-energy maps integrating Futaki invariants Mabuchi, Toshiki Tohoku Mathematical Journal, Vol. 38, Issue 4 https://doi.org/10.2748/tmj/1178228410	journal	January 1986
Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes Bershadsky, M.; Cecotti, S.; Ooguri, H. Communications in Mathematical Physics, Vol. 165, Issue 2 https://doi.org/10.1007/BF02099774	journal	October 1994
Self-dual space-times with cosmological constant Ward, R. S. Communications in Mathematical Physics, Vol. 78, Issue 1 https://doi.org/10.1007/BF01941967	journal	November 1980
Twisted modules over vertex algebras on algebraic curves Frenkel, Edward; Szczesny, Matthew Advances in Mathematics, Vol. 187, Issue 1 https://doi.org/10.1016/j.aim.2003.07.019	journal	September 2004
Generating functional for the S matrix in gauge-invariant theories Aref'eva, I. Ya.; Slavnov, A. A.; Faddeev, L. D. Theoretical and Mathematical Physics, Vol. 21, Issue 3 https://doi.org/10.1007/BF01038094	journal	December 1974
Lectures on Stability and Constant Scalar Curvature Phong, D. H.; Sturm, Jacob Current Developments in Mathematics, Vol. 2007, Issue 1 https://doi.org/10.4310/CDM.2007.v2007.n1.a4	journal	January 2007
Celestial operator product expansions and w1+∞ symmetry for all spins Himwich, E.; Pate, M.; Singh, K. Journal of High Energy Physics, Vol. 2022, Issue 1 https://doi.org/10.1007/JHEP01(2022)080	journal	January 2022
On twistor spaces of anti-self-dual Hermitian surfaces Pontecorvo, Massimiliano Transactions of the American Mathematical Society, Vol. 331, Issue 2 https://doi.org/10.1090/S0002-9947-1992-1050087-0	journal	February 1992
On the topology of self-dual 4-manifolds LeBrun, Claude Proceedings of the American Mathematical Society, Vol. 98, Issue 4 https://doi.org/10.1090/S0002-9939-1986-0861766-2	journal	January 1986
Evidence for tadpole cancelation in the topological string Walcher, Johannes Communications in Number Theory and Physics, Vol. 3, Issue 1 https://doi.org/10.4310/CNTP.2009.v3.n1.a3	journal	January 2009
An integer basis for celestial amplitudes Cotler, Jordan; Miller, Noah; Strominger, Andrew Journal of High Energy Physics, Vol. 2023, Issue 8 https://doi.org/10.1007/JHEP08(2023)192	journal	August 2023

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Title: Burns space and holography

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