High Energy Theory Group Seminars

Twisted-circle compactifications of SQCD-like theories and holography

by Dr Ricardo Stuardo (Oviedo U.)

Europe/Rome
1/1-2 - Aula "C. Voci" (Dipartimento di Fisica e Astronomia - Edificio Marzolo)

1/1-2 - Aula "C. Voci"

Dipartimento di Fisica e Astronomia - Edificio Marzolo

32
Description

We construct and analyse holographic duals to a class of four-dimensional N = 1 SU(Nc) SQCD-like theories compactified on a circle with an R-symmetry twist. The setup originates from type IIB backgrounds previously proposed as duals to SQCD with Nf fundamental flavours. The U(1) R-symmetry is anomaly-free only if Nf = 2Nc. We implement a supersymmetric twisted-circle reduction, holographically realised through a smoothly shrinking S1 fibered over the internal U(1) R-direction. We obtain new regular type IIB supergravity backgrounds that are valid only if the condition Nf = 2Nc is satisfied — mirroring the anomaly cancellation requirement in the field theory. We compute various field-theoretic observables — including the Chern-Simons level, Wilson loop and the holographic central charge — showing the emergence of a 3D N = 2 gapped phase consistent with a Chern-Simons TQFT. This  highlights the interplay between anomalies, supersymmetry, and geometry in the holographic realisation of compactified gauge theories with fundamental matter.