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.
p. 106009.
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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-lat, hep-th |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 13 Oct 2020 15:56 |
| Last Modified: | 21 May 2023 22:34 |
| DOI: | 10.1103/PhysRevD.102.106009 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3104112 |
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