Giant Wilson loops and AdS2/dCFT1

Giombi, Simone; Jiang, Jiaqi; Komatsu, Shota

doi:10.1007/jhep11(2020)064

Giant Wilson loops and AdS₂/dCFT₁

Journal Article · Fri Nov 13 04:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2020)064· OSTI ID:1737767

Giombi, Simone ^[1]; Jiang, Jiaqi ^[2]; Komatsu, Shota ^[3]

Princeton Univ., NJ (United States); Institute for Advanced Study
Princeton Univ., NJ (United States)
Inst. for Advanced Study, Princeton, NJ (United States)

The 1/2-BPS Wilson loop in N = 4 supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson loop in the fundamental representation. In this paper, we extend such analyses to Wilson loops in the large-rank symmetric and antisymmetric representations, which correspond to probe D3 and D5 branes with AdS₂ × S² and AdS₂ × S⁴ worldvolume geometries, ending at the AdS₅ boundary along a one-dimensional contour. We first compute the correlation functions of protected scalar insertions from supersymmetric localization, and obtain a representation in terms of multiple integrals that are similar to the eigenvalue integrals of the random matrix, but with important differences. Using ideas from the Fermi Gas formalism and the Clustering method, we evaluate their large N limit exactly as a function of the ’t Hooft coupling. The results are given by simple integrals of polynomials that resemble the Q-functions of the Quantum Spectral Curve, with integration measures depending on the number of insertions. Next, we study the correlation functions of fluctuations on the probe D3 and D5 branes in AdS. We compute a selection of three- and four-point functions from perturbation theory on the D-branes, and show that they agree with the results of localization when restricted to supersymmetric kinematics. We also explain how the difference of the internal geometries of the D3 and D5 branes manifests itself in the localization computation.

View Accepted Manuscript (DOE)

Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); NSF

Grant/Contract Number:: SC0009988

OSTI ID:: 1737767

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Operator product expansion for Wilson loops and surfaces in the large N limit Berenstein, David; Corrado, Richard; Fischler, Willy Physical Review D, Vol. 59, Issue 10 https://doi.org/10.1103/PhysRevD.59.105023	journal	April 1999
Wilson loops and minimal surfaces Drukker, Nadav; Gross, David J.; Ooguri, Hirosi Physical Review D, Vol. 60, Issue 12 https://doi.org/10.1103/PhysRevD.60.125006	journal	November 1999
Classification of extended operators in conformal field theories Drukker, Nadav; Kawamoto, Shoichi Physical Review D, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevD.74.046002	journal	August 2006
Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory Drukker, Nadav; Giombi, Simone; Ricci, Riccardo Physical Review D, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevD.77.047901	journal	February 2008
Higher spin gauge theory and the critical O ( N ) model Giombi, Simone; Yin, Xi Physical Review D, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevD.85.086005	journal	April 2012
One-loop effective action of the holographic antisymmetric Wilson loop Faraggi, Alberto; Mück, Wolfgang; Pando Zayas, Leopoldo A. Physical Review D, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevD.85.106015	journal	May 2012
Quantum Spectral Curve for Planar N = 4 Super-Yang-Mills Theory Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sébastien Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.011602	journal	January 2014
Determinant Formula for the Octagon Form Factor in N = 4 Supersymmetric Yang-Mills Theory Kostov, Ivan; Petkova, Valentina B.; Serban, Didina Physical Review Letters, Vol. 122, Issue 23 https://doi.org/10.1103/PhysRevLett.122.231601	journal	June 2019
Exact Three-Point Functions of Determinant Operators in Planar N = 4 Supersymmetric Yang-Mills Theory Jiang, Yunfeng; Komatsu, Shota; Vescovi, Edoardo Physical Review Letters, Vol. 123, Issue 19 https://doi.org/10.1103/PhysRevLett.123.191601	journal	November 2019
Wilson Loops in Large N Field Theories Maldacena, Juan Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4859	journal	June 1998
Bubbling Geometries for Half-Bps Wilson Lines Yamaguchi, Satoshi International Journal of Modern Physics A, Vol. 22, Issue 07 https://doi.org/10.1142/S0217751X07035070	journal	March 2007
Topological holography: The example of the D2-D4 brane system Ishtiaque, Nafiz; Moosavian, Seyed Faroogh; Zhou, Yehao SciPost Physics, Vol. 9, Issue 2 https://doi.org/10.21468/SciPostPhys.9.2.017	journal	January 2020
Seiberg-Witten Prepotential from Instanton Counting Nekrasov, Nikita A. Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5 https://doi.org/10.4310/ATMP.2003.v7.n5.a4	journal	January 2003

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