$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization

Abstract We study the half-BPS circular Wilson loop in $$ \mathcal{N} $$ N = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of SO(N). We focus on the large N limit and present some simple quantitative tests of the duality with type IIB string theory in AdS5× ℝℙ5. In particular, we show that the strong coupling limit of the expectation value of the Wilson loop in the spinor representation of the gauge group precisely matches the classical action of the dual string theory object, which is expected to be a D5-brane wrapping a ℝℙ4 subspace of ℝℙ5. We also briefly discuss the large N, large λ limits of the SO(N) Wilson loop in the symmetric/antisymmetric representations and their D3/D5-brane duals. Finally, we use the D5-brane description to extract the leading strong coupling behavior of the “bremsstrahlung function” associated to a spinor probe charge, or equivalently the normalization of the two-point function of the displacement operator on the spinor Wilson loop, and obtain agreement with the localization prediction.

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On topological recursion for Wilson loops in $$ \mathcal{N} $$ = 4 SYM at strong coupling

Journal of High Energy Physics ◽

10.1007/jhep04(2021)194 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

M. Beccaria ◽

A. Hasan

Keyword(s):

Strong Coupling ◽

Matrix Model ◽

Wilson Loops ◽

Expectation Value ◽

Yang Mills ◽

Usual Procedure ◽

Topological Recursion ◽

Sample Application ◽

Single Trace ◽

Genus Expansion

Abstract We consider U(N) $$ \mathcal{N} $$ N = 4 super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $$ \frac{1}{2} $$ 1 2 -BPS Wilson loop. Our approach is based on a suitable saddle point treatment of the Eynard-Orantin topological recursion in the Gaussian matrix model. Working directly at strong coupling we avoid the usual procedure of first computing observables at finite planar coupling λ, order by order in 1/N, and then taking the λ ≫ 1 limit. In the proposed approach, matrix model multi-point resolvents take a simplified form and some structures of the genus expansion, hardly visible at low order, may be identified and rigorously proved. As a sample application, we consider the expectation value of multiple coincident circular supersymmetric Wilson loops as well as their correlator with single trace chiral operators. For these quantities we provide novel results about the structure of their genus expansion at large tension, generalising recent results in arXiv:2011.02885.

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Strong coupling singularities and enhanced non-abelian gauge symmetries in N = 2 string theory

Nuclear Physics B ◽

10.1016/0550-3213(96)00108-3 ◽

1996 ◽

Vol 469 (1-2) ◽

pp. 37-50 ◽

Cited By ~ 41

Author(s):

Albrecht Klemm ◽

Peter Mayr

Keyword(s):

String Theory ◽

Strong Coupling ◽

Abelian Gauge ◽

Gauge Symmetries

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Strong-coupling phases of planar N=2* super-Yang-Mills theory

Theoretical and Mathematical Physics ◽

10.1007/s11232-014-0232-4 ◽

2014 ◽

Vol 181 (3) ◽

pp. 1522-1530 ◽

Cited By ~ 13

Author(s):

K. L. Zarembo

Keyword(s):

Strong Coupling ◽

Yang Mills ◽

Super Yang Mills Theory

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A REVIEW OF INTEGRABLE DEFORMATIONS IN AdS/CFT

Modern Physics Letters A ◽

10.1142/s0217732307023614 ◽

2007 ◽

Vol 22 (13) ◽

pp. 915-930 ◽

Cited By ~ 10

Author(s):

IAN SWANSON

Keyword(s):

String Theory ◽

Bethe Ansatz ◽

Energy Spectra ◽

Yang Mills ◽

Twisted String ◽

Pp Wave ◽

Integrable Deformations ◽

Type Iib String Theory ◽

Bethe Equations ◽

Wave Limit

Marginal β deformations of [Formula: see text] super-Yang–Mills theory are known to correspond to a certain class of deformations of the S5 background subspace of type IIB string theory in AdS5×S5. An analogous set of deformations of the AdS5 subspace is reviewed here. String energy spectra computed in the near-pp-wave limit of these backgrounds match predictions encoded by discrete, asymptotic Bethe equations, suggesting that the twisted string theory is classically integrable in this regime. These Bethe equations can be derived algorithmically by relying on the existence of Lax representations, and on the Riemann–Hilbert interpretation of the thermodynamic Bethe ansatz. This letter is a review of a seminar given at the Institute for Advanced Study, based on research completed in collaboration with McLoughlin.

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Beta-functions in Yang-Mills theory from non-critical string theory

Classical and Quantum Gravity ◽

10.1088/0264-9381/18/2/308 ◽

2000 ◽

Vol 18 (2) ◽

pp. 289-302

Author(s):

Kazuo Ghoroku

Keyword(s):

String Theory ◽

Yang Mills

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Higgsing towards E-strings

Journal of High Energy Physics ◽

10.1007/jhep01(2021)110 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Joonho Kim ◽

Seok Kim ◽

Kimyeong Lee

Keyword(s):

String Theory ◽

Gauge Theories ◽

The Self ◽

Flavor Symmetry ◽

Strongly Coupled ◽

Superconformal Field Theories ◽

Yang Mills ◽

Gauge Symmetries ◽

Elliptic Genera ◽

Linear Sigma Models

Abstract We explore 6d (1, 0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an E8 wall. Specifically, we study the 2d $$ \mathcal{N} $$ N = (0, 4) gauge theories which describe self-dual strings of these 6d theories. The self-dual strings can be also viewed as instanton string solitons of 6d Yang-Mills theories. We find the 2d anomaly-free gauge theories for self-dual strings, amending the naive ADHM gauge theories which are anomalous, and calculate their elliptic genera. While these 2d theories respect the flavor symmetry of each 6d SCFT only partially, their elliptic genera manifest the symmetry fully as these functions as BPS index are invariant in strongly coupled IR limit. Our consistent 2d (0, 4) gauge theories also provide new insights on the non-linear sigma models for the instanton strings, providing novel UV completions of the small instanton singularities. Finally, we construct new 2d quiver gauge theories for the self-dual strings in 6d E-string theory for multiple M5-branes probing the E8 wall, and find their fully refined elliptic genera.

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