Extraordinary Surface Criticalities for Interacting Fermions

TL;DR

This paper explores novel surface critical behaviors and emergent topological structures in interacting fermions, specifically within the 3D Gross-Neveu-Yukawa model, revealing exact solutions and anomaly encodings.

Contribution

It provides exact infrared solutions for surface critical phenomena and uncovers topological and geometric structures in defect coupling space.

Findings

Exact infrared solutions for defect RG flows

Fermionic anomalies encoded in surface dynamics

Emergent topological and geometric structures

Abstract

Interacting fermions exhibit a rich landscape of surface defects and associated critical phenomena. We investigate novel surface critical behavior in the three-dimensional Gross-Neveu-Yukawa model. For a class of defect renormalization group flows, we obtain exact infrared solutions and show how fermionic anomalies are encoded in the resulting surface dynamics. We further uncover emergent topological and geometric structures in the defect coupling space, and comment on their relation to a defect analogue of the CFT distance conjecture.