Abstract
We study correlation functions of determinant-like operators in the “chiral algebra subsector” of four-dimensional \( \mathcal{N} \) = 4 gauge theory with U(N) gauge group. We map the large N saddles of the correlation functions to specific semiclassical D-branes in the holographic dual BCOV theory. We present a detailed match of several gauge-theory and BCOV calculations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415 [hep-th/9811131] [INSPIRE].
K. Costello and D. Gaiotto, Twisted holography, arXiv:1812.09257 [INSPIRE].
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories, Nucl. Phys. B 405 (1993) 279 [hep-th/9302103] [INSPIRE].
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140] [INSPIRE].
Y. Jiang, S. Komatsu and E. Vescovi, Structure constants in N = 4 SYM at finite coupling as worldsheet g-function, JHEP 07 (2020) 037 [arXiv:1906.07733] [INSPIRE].
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
C. Beem et al., Infinite chiral symmetry in four dimensions, Commun. Math. Phys. 336 (2015) 1359 [arXiv:1312.5344] [INSPIRE].
M. Dedushenko and M. Fluder, Chiral algebra, localization, modularity, surface defects, and all that, J. Math. Phys. 61 (2020) 092302 [arXiv:1904.02704] [INSPIRE].
Y. Pan and W. Peelaers, Schur correlation functions on S3 × S1, JHEP 07 (2019) 013 [arXiv:1903.03623] [INSPIRE].
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in string theory, Nucl. Phys. B 413 (1994) 162 [hep-th/9307158] [INSPIRE].
H. Ooguri and C. Vafa, Knot invariants and topological strings, Nucl. Phys. B 577 (2000) 419 [hep-th/9912123] [INSPIRE].
K. Costello and S. Li, Twisted supergravity and its quantization, arXiv:1606.00365 [INSPIRE].
J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [INSPIRE].
V. Balasubramanian, M. Berkooz, A. Naqvi and M.J. Strassler, Giant gravitons in conformal field theory, JHEP 04 (2002) 034 [hep-th/0107119] [INSPIRE].
S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N = 4 SYM theory, Adv. Theor. Math. Phys. 5 (2002) 809 [hep-th/0111222] [INSPIRE].
D. Berenstein, A toy model for the AdS/CFT correspondence, JHEP 07 (2004) 018 [hep-th/0403110] [INSPIRE].
A. Mikhailov, Giant gravitons from holomorphic surfaces, JHEP 11 (2000) 027 [hep-th/0010206] [INSPIRE].
V. Balasubramanian, M.-X. Huang, T.S. Levi and A. Naqvi, Open strings from N = 4 super Yang-Mills, JHEP 08 (2002) 037 [hep-th/0204196] [INSPIRE].
D. Berenstein, Shape and holography: studies of dual operators to giant gravitons, Nucl. Phys. B 675 (2003) 179 [hep-th/0306090] [INSPIRE].
V. Balasubramanian, D. Berenstein, B. Feng and M.-X. Huang, D-branes in Yang-Mills theory and emergent gauge symmetry, JHEP 03 (2005) 006 [hep-th/0411205] [INSPIRE].
D. Berenstein and S.E. Vazquez, Integrable open spin chains from giant gravitons, JHEP 06 (2005) 059 [hep-th/0501078] [INSPIRE].
R. Gopakumar, From free fields to AdS, Phys. Rev. D 70 (2004) 025009 [hep-th/0308184] [INSPIRE].
R. Gopakumar, From free fields to AdS. 2, Phys. Rev. D 70 (2004) 025010 [hep-th/0402063] [INSPIRE].
R. Gopakumar, Free field theory as a string theory?, Comptes Rendus Physique 5 (2004) 1111 [hep-th/0409233] [INSPIRE].
R. Gopakumar, From free fields to AdS. 3, Phys. Rev. D 72 (2005) 066008 [hep-th/0504229] [INSPIRE].
O. Aharony et al., Comments on worldsheet theories dual to free large N gauge theories, Phys. Rev. D 75 (2007) 106006 [hep-th/0703141] [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, String dual to free N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 127 (2021) 131601 [arXiv:2104.08263] [INSPIRE].
M.R. Gaberdiel and R. Gopakumar, The worldsheet dual of free super Yang-Mills in 4D, JHEP 11 (2021) 129 [arXiv:2105.10496] [INSPIRE].
R. Gopakumar, What is the simplest gauge-string duality?, arXiv:1104.2386 [INSPIRE].
R. Gopakumar and R. Pius, Correlators in the simplest gauge-string duality, JHEP 03 (2013) 175 [arXiv:1212.1236] [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
D. Gaiotto and J.H. Lee, The giant graviton expansion, to appear.
R. Dijkgraaf and C. Vafa, A perturbative window into nonperturbative physics, hep-th/0208048 [INSPIRE].
R. Dijkgraaf and C. Vafa, Matrix models, topological strings, and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255] [INSPIRE].
M. Aganagic et al., Topological strings and integrable hierarchies, Commun. Math. Phys. 261 (2006) 451 [hep-th/0312085] [INSPIRE].
Acknowledgments
We thank Kevin Costello and Ben Webster for useful discussions. This research was supported in part by a grant from the Krembil Foundation. K.B. and D.G. are supported by the NSERC Discovery Grant program and by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2106.14859
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Budzik, K., Gaiotto, D. Giant gravitons in twisted holography. J. High Energ. Phys. 2023, 131 (2023). https://doi.org/10.1007/JHEP10(2023)131
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2023)131