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The Thermal Free Energy in Large N Chern-Simons-Matter Theories

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arxiv 1211.4843 v3 pith:CANH65CS submitted 2012-11-20 hep-th cond-mat.str-el

The Thermal Free Energy in Large N Chern-Simons-Matter Theories

classification hep-th cond-mat.str-el
keywords chern-simons-mattertheoriesfieldslargethermalenergyfreeaffects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the thermal free energy in large N U(N) Chern-Simons-matter theories with matter fields (scalars and/or fermions) in the fundamental representation, in the large temperature limit. We note that in these theories the eigenvalue distribution of the holonomy of the gauge field along the thermal circle does not localize even at very high temperatures, and this affects the computation significantly. We verify that our results are consistent with the conjectured dualities between Chern-Simons-matter theories with scalar fields and with fermion fields, as well as with the strong-weak coupling duality of the N=2 supersymmetric Chern-Simons-matter theory.

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