Precision calculation of 1/4-BPS Wilson loops in AdS$_5\times S^5$ - INSPIRE

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Precision calculation of 1/4-BPS Wilson loops in AdS $_5\times S^5$

V. Forini
(
- Humboldt U., Berlin
)
,
V. Giangreco M. Puletti
(
- Iceland U.
)
,
L. Griguolo
(
- INFN, Parma and
- Parma U.
)
,
D. Seminara
(
- Florence U. and
- INFN, Florence
)
,
E. Vescovi
(
- Humboldt U., Berlin
)

Dec 2, 2015

40 pages

Published in:

JHEP 02 (2016) 105

Published: Feb 16, 2016

e-Print:

1512.00841 [hep-th]

DOI:

10.1007/JHEP02(2016)105

Report number:

HU-EP-15-58

View in:

reference search47 citations

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Abstract: (Springer)

We study the strong coupling behaviour of 1/4-BPS circular Wilson loops (a family of “latitudes”) in

\mathcal{N}=4

Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in AdS

_{5}

×S

^{5}

. Supersymmetric localization provides an exact result that, in the large ’t Hooft coupling limit, should be reproduced by the sigma-model approach. To avoid ambiguities due to the absolute normalization of the string partition function, we compare the ratio between the generic latitude and the maximal 1/2-BPS circle: any measure-related ambiguity should simply cancel in this way. We use the Gel’fand-Yaglom method with Dirichlet boundary conditions to calculate the relevant functional determinants, that present some complications with respect to the standard circular case. After a careful numerical evaluation of our final expression we still find disagreement with the localization answer: the difference is encoded into a precise “remainder function”. We comment on the possible origin and resolution of this discordance.

Note:

References added, comments in introduction and conclusions added, it matches published version

Wilson
’t Hooft and Polyakov loops
AdS-CFT Correspondence
Sigma Models
string: partition function
string: classical
anti-de Sitter
localization
Wilson loop
strong coupling

References(64)

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