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Strong Coupling Universality at Large N for Pure CFT Thermodynamics in 2+1 dimensions

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arxiv 1905.06355 v2 pith:VNIURM7H submitted 2019-05-15 hep-th cond-mat.str-elnucl-th

classification hep-thcond-mat.str-elnucl-th
keywords couplinglargepurebosonsclassdimensionsequalfermions
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abstract

Pure CFTs have vanishing $\beta$-function at any value of the coupling. One example of a pure CFT is the O(N) Wess-Zumino model in 2+1 dimensions in the large N limit. This model can be analytically solved at finite temperature for any value of the coupling, and we find that its entropy density at strong coupling is exactly equal to 31/35 of the non-interacting Stefan-Boltzmann result. We show that a large class of theories with equal numbers of N-component fermions and bosons, supersymmetric or not, for a large class of interactions, exhibit the same universal ratio. For unequal numbers of fermions and bosons we find that the strong-weak thermodynamic ratio is bounded to lie in between 4/5 and 1.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermal free energy of large Nf QED in 2+1 dimensions from weak to strong coupling

    hep-th 2019-08 conditional novelty 7.0 of 10

    For QED in 2+1 dimensions with many fermion flavors, the thermal pressure to next-to-leading order in 1/Nf is computed across all couplings, giving a curve bounded by the free-fermion and free-photon pressures.

  2. Large charge at large N

    hep-th 2019-09 conditional novelty 6.0 of 10

    A saddle-point evaluation of the O(2N) Wilson-Fisher partition function yields the large-charge conformal dimension and finite-temperature free energy in the regime 1 << N << Q, including the universal Q^0 Casimir term.

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