Matching quantum string corrections and circular Wilson loops in AdS4 × CP3

Abstract Supersymmetric circular Wilson loops in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended to the more general case of two different loop contours, which is needed to discuss coincident loops with opposite orientations. A combinatorial formula representing the connected correlators of multiply wound Wilson loops in terms of the matrix model solution is derived. Two new results are obtained on the expectation value of the circular Wilson loop, the expansion of which into a series in 1/N and to all orders in the ’t Hooft coupling λ was derived by Drukker and Gross about twenty years ago. The connected correlators of two multiply wound Wilson loops with arbitrary winding numbers are calculated as a series in 1/N. The coefficient functions are derived not only as power series in λ, but also to all orders in λ by expressing them in terms of the coefficients of the Drukker and Gross series. This provides an efficient way to calculate the 1/N series, which can probably be generalized to higher-point correlators.

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One-loop string corrections to AdS amplitudes from CFT

Journal of High Energy Physics ◽

10.1007/jhep03(2021)038 ◽

2021 ◽

Vol 2021 (3) ◽

Cited By ~ 2

Author(s):

J.M. Drummond ◽

H. Paul

Keyword(s):

Stress Tensor ◽

Analytic Structure ◽

Position Space ◽

Yang Mills ◽

String Corrections ◽

The One ◽

Loop Amplitudes

Abstract We consider α′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in $$ \mathcal{N} $$ N = 4 super Yang-Mills at order 1/N4. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS5 × S5. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α′ not considered before.

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Exact SUSY Wilson loops on S3 from q-Virasoro constraints

Journal of High Energy Physics ◽

10.1007/jhep12(2019)121 ◽

2019 ◽

Vol 2019 (12) ◽

Cited By ~ 2

Author(s):

Luca Cassia ◽

Rebecca Lodin ◽

Aleksandr Popolitov ◽

Maxim Zabzine

Keyword(s):

Wilson Loops ◽

Virasoro Constraints

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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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