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On Large N Expansion of the Sphere Free Energy

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arxiv 1609.09113 v2 pith:I7KSNQG3 submitted 2016-09-28 hep-th cond-mat.str-el

Grigory Tarnopolsky This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords epsilonexpansionagreementcorrectionenergyformulasfreelarge
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abstract

We propose formulas for the $1/N$ correction to the sphere free energy of theories with 4-fermion interactions, which are conformal for $d>2$. We also propose a formula for the scalar $O(N)$ model. Expanding these formulas in small $\epsilon$ near various integer dimensions we find a perfect agreement with results obtained using $\epsilon$-expansion technique. In $d=3$, the large $N$ results with the $1/N$ correction included are in good agreement with the Pade resummed $\epsilon$-expansion.

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  1. $F$-extremization determines certain large-$N$ CFTs

    hep-th 2024-12 conditional novelty 7.0 of 10

    Melonic large-N CFTs are exactly the conformal mean field theories that extremize the universal part of the sphere free energy under linear IR marginality constraints.

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