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Thermal phases of D1-branes on a circle from lattice super Yang-Mills

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arxiv 1008.4964 v3 pith:GLDK6P6U submitted 2010-08-29 hep-th gr-qchep-lat

Simon Catterall , Anosh Joseph , Toby Wiseman This is my paper · ORCID
classification hep-thgr-qchep-lat
keywords transitionlatticecouplingcircledualgravityphasestrong
verification ladder T0 review T1 audit T2 compute T3 formal
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We report on the results of numerical simulations of 1+1 dimensional SU(N) Yang-Mills theory with maximal supersymmetry at finite temperature and compactified on a circle. For large N this system is thought to provide a dual description of the decoupling limit of N coincident D1-branes on a circle. It has been proposed that at large N there is a phase transition at strong coupling related to the Gregory-Laflamme (GL) phase transition in the holographic gravity dual. In a high temperature limit there was argued to be a deconfinement transition associated to the spatial Polyakov loop, and it has been proposed that this is the continuation of the strong coupling GL transition. Investigating the theory on the lattice for SU(3) and SU(4) and studying the time and space Polyakov loops we find evidence supporting this. In particular at strong coupling we see the transition has the parametric dependence on coupling predicted by gravity. We estimate the GL phase transition temperature from the lattice data which, interestingly, is not yet known directly in the gravity dual. Fine tuning in the lattice theory is avoided by the use of a lattice action with exact supersymmetry.

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Cited by 2 Pith papers

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  1. An effective field theory approach to the sign problem in BFSS

    hep-th 2026-06 unverdicted novelty 8.0 of 10

    The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.

  2. Finite-temperature phase diagram of the BMN matrix model on the lattice

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

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