Thermodynamics of Noncritical M-Theory and the Topological A-Model

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dc.creatorHorava, Petr
dc.creatorKeeler, Cynthia A.
dc.date2005-12-28
dc.date.accessioned2026-07-07T10:45:34Z
dc.date.available2026-07-07T10:45:34Z
dc.descriptionIn hep-th/0508024, noncritical M-theory for two-dimensional Type 0A and 0B strings was defined in terms of a double-scaled theory of nonrelativistic fermions in 2+1 dimensions. Here we study this noncritical M-theory at finite temperature. We derive the exact expression for the free energy of its vacuum solution, as a function of a coupling constant $g_M$ and the radius $R$ of the thermal circle. We show that at high temperature, the theory is effectively described by another M-theory solution, whose effective loop-counting coupling scales in a novel way characteristic of M-theory, as $T^3$. Our calculations further suggest that noncritical M-theory is dual to the closed string theory of the topological A-model on a Calabi-Yau, with the radius $R$ of the Euclidean time circle in M-theory playing the role of the string coupling constant of the A-model. In this correspondence, T-duality on the Euclidean time circle of noncritical M-theory implies an S-duality for the topological A-model.
dc.description35 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0512325
dc.identifierhttp://arxiv.org/abs/hep-th/0512325
dc.identifierNucl.Phys.B745:1-28,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.02.039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182952
dc.subjectHigh Energy Physics - Theory
dc.titleThermodynamics of Noncritical M-Theory and the Topological A-Model
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