Supersymmetric Wilson loops on the lattice in the large N limit
Perimeter Institute for Theoretical Physics, N2L 2Y5, Waterloo, Ontario, Canada
2 Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA
Accepted: 14 January 2023
Published online: 25 January 2023
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 in the large N limit and comment on how these can be computed on non-orthogonal lattices in various models.
© This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply 2023