Testing holography using lattice super-Yang-Mills theory on a 2-torus

Catterall, Simon; Jha, Raghav G.; Schaich, David Alexander; Wiseman, Toby (2018). Testing holography using lattice super-Yang-Mills theory on a 2-torus. Physical review. D - particles, fields, gravitation, and cosmology, 97(8) American Physical Society 10.1103/PhysRevD.97.086020

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We consider maximally supersymmetric SUðNÞ 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 1⁄4 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:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Schaich, David Alexander

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

14 May 2018 13:52

Last Modified:

24 Oct 2019 16:59

Publisher DOI:

10.1103/PhysRevD.97.086020

ArXiv ID:

1709.07025

BORIS DOI:

10.7892/boris.116472

URI:

https://boris.unibe.ch/id/eprint/116472

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