The thermal free energy in large N Chern-Simons-matter theories

By O. Aharony, S. Giombi, Guy Gur-Ari, J. Maldacena, Ran Yacoby. 2012

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A bstractWe 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 $\mathcal{N}=2$ supersymmetric Chern-Simons-matter theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/687c9893194b24b11ecaa72d59eec33c8f2bcdab

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Citations in the corpus

Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “Recently, a convergence of ideas from condensed matter physics [1-6], supersymmetric quantum field theory [7-19], and string theory [20-34] has led to a large set of new boson/fermion dualities [35-45] and new fermion/fermion dualities [46,38,39,47,45].”
Baryons, monopoles and dualities in Chern-Simons-matter theories (2015, methodology): “It was argued in [27] that when the U(N) Chern-Simons-matter theories are compactified on a circle, the logarithms of the eigenvalues of their holonomies are quantized to be an integer multiple of 2π/k̂.”
Chern Simons duality with a fundamental boson and fermion (2013, methodology): “ −kand Ngoes to |k| − N; recent evidence for this supersymmetric level rank duality includes the matching of the thermal partition function of conjecturally dual pairs of theories in the large Nlimit [13, 15, 16]. 1The conventions we have employed in that action are De µφ=(∂µ − iAµ − µBδ3µ)φ Deµφ¯ =”