Generalized Abelian S-duality and coset constructions

TL;DR

This paper explores generalized Abelian S-duality and coset constructions, revealing new symmetries and global aspects of dualities in various dimensions, including their anomalies and operator transformations.

Contribution

It introduces a unified framework for understanding electric-magnetic dualities via generalized coset models and analyzes their global properties and anomalies.

Findings

Duality symmetries are realized in generalized coset constructions.

The modular duality anomaly relates to the Euler characteristic.

Wilson line operator duality transformations are characterized.

Abstract

Electric-magnetic duality and higher dimensional analogues are obtained as symmetries in generalized coset constructions, similar to the axial-vector duality of two dimensional coset models described by Rocek and Verlinde. We also study global aspects of duality between p-forms and (d-p-2)-forms in d-manifolds. In particular, the modular duality anomaly is governed by the Euler character as in four and two dimensions. Duality transformations of Wilson line operator insertions are also considered.