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CFT data in the Gross-Neveu model

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arxiv 2011.07768 v1 pith:TNQQOEGM submitted 2020-11-16 hep-th cond-mat.str-el

Mikhail Goykhman , Ritam Sinha This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords conformaldatafieldgross-neveumodeltrianglesapplybackground
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abstract

We calculate CFT data for the Gross-Neveu model in $2<d<4$ dimensions at the next-to-leading order in the $1/N$ expansion. In particular, we make use of the background field method to derive various conformal triangles involving the composite operator $s^2$, for the Hubbard-Stratonovich field $s$. We then apply these conformal triangles to obtain the corresponding OPE coefficients.

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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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