Three-dimensional super-Yang-Mills theory on the lattice and dual black branes

Catterall, Simon, Giedt, Joel, Jha, Raghav G, Schaich, David ORCID: 0000-0002-9826-2951 and Wiseman, Toby (2020) Three-dimensional super-Yang-Mills theory on the lattice and dual black branes. PHYSICAL REVIEW D, 102 (10). 106009-.

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Official URL: http://dx.doi.org/10.1103/PhysRevD.102.106009

Abstract

In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA supergravity.We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations.Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus. Taking one cycle to have anti-periodic fermion boundary conditions, the large-torus limit is described by certain Euclidean black holes. We compute the bosonic action---the variation of the partition function---and compare our numerical results to the supergravity prediction as the size of the torus is changed, keeping its shape fixed. Our lattice calculations primarily utilize $N = 8$ with extrapolations to the continuum limit, and our results are consistent with the expected gravity behavior in the appropriate large-torus limit.

Item Type:	Article
Additional Information:	v1: 11 pages with 5 figures and data release at https://zenodo.org/record/4059477
Uncontrolled Keywords:	hep-th, hep-th, hep-lat
Depositing User:	Symplectic Admin
Date Deposited:	26 Oct 2020 09:58
Last Modified:	18 Jan 2023 23:26
DOI:	10.1103/PhysRevD.102.106009
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3105004