Long-range fermions and critical dualities

TL;DR

This paper constructs long-range fermionic models with specific interactions, demonstrating their critical regimes are equivalent through calculations of conformal field theory data in different expansion schemes.

Contribution

It introduces long-range fermionic models with Gross-Neveu interactions and establishes their critical duality by matching CFT data across expansion methods.

Findings

Critical regimes of the models are equivalent.

Agreement of CFT data in $\

$ ext{-}$ and $1/N$-expansions confirms duality.

Abstract

We construct long-range fermionic models with the Gross-Neveu and Gross-Neveu-Yukawa interaction, and argue that their critical regimes are equivalent. To this end, we calculate various CFT data in $\epsilon$- and $1/N$- expansion, and demonstrate their agreement in the overlapping regimes of validity.