Catterall, Simon, Jha, Raghav G, Schaich, David 
ORCID: 0000-0002-9826-2951 and Wiseman, Toby
(2018)
Testing holography using lattice super-Yang-Mills theory on a 2-torus.
Physical Review D, 97 (8).
086020-.
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2d_Q16.pdf - Author Accepted Manuscript Download (1MB) | Preview |
Abstract
We consider maximally supersymmetric SU(N) Yang-Mills theory in Euclidean signature compactified on a flat two-dimensional torus with antiperiodic (“thermal”) fermion boundary conditions imposed on one cycle. At large N, holography predicts that this theory describes certain black hole solutions in type IIA and IIB supergravity, and we use lattice gauge theory to test this. Unlike the one-dimensional quantum mechanics case where there is only the dimensionless temperature to vary, here we emphasize there are two more parameters which determine the shape of the flat torus. While a rectangular Euclidean torus yields a thermal interpretation, allowing for skewed tori modifies the holographic dual black hole predictions and results in another direction to test holography. Our lattice calculations are based on a supersymmetric formulation naturally adapted to a particular skewing. Using this we perform simulations up to N=16 with several lattice spacings for both skewed and rectangular tori. We observe the two expected black hole phases with their predicted behavior, with a transition between them that is consistent with the gravity prediction based on the Gregory-Laflamme transition.
| Item Type: | Article |
|---|---|
| Additional Information: | Ancillary file provide supplemental data. v2 -- Some error estimates (Fig. 6 and 8) are corrected. Added references, text and results are largely unchanged. Matches the version accepted for publication in Physical Review D |
| Uncontrolled Keywords: | hep-th, hep-th, hep-lat |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 10 Jun 2019 08:51 |
| Last Modified: | 19 Jan 2023 00:40 |
| DOI: | 10.1103/PhysRevD.97.086020 |
| Open Access URL: | https://journals.aps.org/prd/abstract/10.1103/Phys... |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3045162 |
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