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Supersymmetric Wilson loops on the lattice in the large N limit

Journal Article · · European Physical Journal. Special Topics

We propose additional tests of holography by studying supersymmetric Wilson loops in p+1-dimensional maximally supersymmetric Yang?Mills (SYM) theories on the lattice in the large N limit. In the dual gravity description, this computation involves calculating the area of a fundamental string worldsheet in certain Type II supergravity backgrounds. Though thermodynamic observables have been computed on the lattice using Monte Carlo methods and agree with the supergravity results in various dimensions, not much has been done for the gauge-invariant operators such as the Wilson loop. We provide analytical predictions for these loops for various non-conformal Dp-brane background cases with ? ? 2 p?2 in the large N limit and comment on how these can be computed on non-orthogonal lattices in various models.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
DOE Contract Number:
AC05-06OR23177
OSTI ID:
1997099
Report Number(s):
JLAB-THY-23-3902; DOE/OR/23177-7076
Journal Information:
European Physical Journal. Special Topics, Vol. 232, Issue 3; ISSN 1951-6355
Country of Publication:
United States
Language:
English

References (12)

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Black hole entropy from nonperturbative gauge theory journal November 2001
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Precision lattice test of the gauge/gravity duality at large N journal November 2016
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An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory journal July 2001
A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges journal September 2005
Evidence for weak-coupling holography from the gauge/gravity correspondence for Dp-branes journal February 2020

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