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Strong coupling universality at large N for pure CFT thermodynamics in 2+1 dimensions

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A bstractPure CFTs have vanishing β-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… Click to show full abstract

A bstractPure CFTs have vanishing β-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 3135$$ \frac{31}{35} $$ 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 45$$ \frac{4}{5} $$ and 1.

Keywords: strong coupling; pure cft; coupling universality; thermodynamics

Journal Title: Journal of High Energy Physics
Year Published: 2019

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