The moduli spaces of S-fold CFTs

TL;DR

This paper explores the complex moduli spaces of three-dimensional quiver theories derived from brane configurations involving S-folds, revealing rich structures that inform brane dynamics in string theory.

Contribution

It systematically analyzes the moduli spaces of S-fold related quiver theories, including cases with non-zero Chern-Simons levels, highlighting their intricate structures and physical implications.

Findings

Moduli spaces exhibit rich and complex structures.

Presence of the T(U(N)) link influences the moduli space.

Non-zero Chern-Simons levels affect the moduli space structure.

Abstract

An S-fold has played an important role in constructing supersymmetric field theories with interesting features. It can be viewed as a type of AdS_4 solutions of Type IIB string theory where the fields in overlapping patches are glued by elements of SL(2,Z). This paper examines three dimensional quiver theories that arise from brane configurations with an inclusion of the S-fold. An important feature of such a quiver is that it contains a link, which is the T(U(N)) theory, between two U(N) groups, along with bifundamental and fundamental hypermultiplets. We systematically study the moduli spaces of those quiver theories, including the cases in which the non-zero Chern-Simons levels are turned on. A number of such moduli spaces turns out to have a very rich structure and tells us about the brane dynamics in the presence of an S-fold.