Massive quiver matrix models for massive charged particles in AdS

TL;DR

This paper introduces new ${\cal N}=4$ supersymmetric quiver matrix models that capture the low-energy dynamics of wrapped D-branes in AdS flux compactifications, revealing flux-related phenomena like fuzzy membranes and confinement.

Contribution

It develops a novel class of massive quiver matrix models with supersymmetry, extending previous models to include mass terms and flux effects relevant for AdS backgrounds.

Findings

Models exhibit fuzzy membranes and internal cyclotron motion.

Presence of confining strings in the dynamics.

Derived from dimensional reduction of 4D supersymmetric theories.

Abstract

We present a new class of ${\cal N}=4$ supersymmetric quiver matrix models and argue that it describes the stringy low-energy dynamics of internally wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux compactifications. The Lagrangians of these models differ from previously studied quiver matrix models by the presence of mass terms, associated with the AdS gravitational potential, as well as additional terms dictated by supersymmetry. These give rise to dynamical phenomena typically associated with the presence of fluxes, such as fuzzy membranes, internal cyclotron motion and the appearance of confining strings. We also show how these models can be obtained by dimensional reduction of four-dimensional supersymmetric quiver gauge theories on a three-sphere.