Supersymmetric Wilson loops on the lattice in the large N limit

Journal Article · Wed Jan 25 04:00:00 EST 2023 · European Physical Journal. Special Topics

DOI:https://doi.org/10.1140/epjs/s11734-023-00768-x· OSTI ID:1997099

Jha, Raghav G.

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, 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, Journal Name: European Physical Journal. Special Topics Journal Issue: 3 Vol. 232; ISSN 1951-6355
• Country of Publication: United States
• Language: English