Note on surface defects in multiscalar critical models

2025/03/07 by Anataichuk, Andrii, Harribey, Sabine · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2503.05519

Abstract

This paper studies generic surface defects for multiscalar critical models using a perturbative ε expansion in 4-ε dimensions. The beta functions of the defect couplings for a generic multiscalar bulk with quartic interactions are computed at first non-trivial order in ε. Specific bulks of interest are then considered: O(N), hypercubic, hypertetrahdral, and biconical O(m)× O(n). In each case, we compute fixed points for the defect couplings and determine the remaining bulk symmetry. Expanding beyond the O(N) model, we find a greater variety of patterns of symmetry breaking.

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