On Non Invertible Symmetries in Type IIB Supergravity

TL;DR

This paper explores non-invertible topological operators in type IIB supergravity, revealing new symmetries related to the SL(2,Z) duality and their implications for charged objects and topological field theories.

Contribution

It introduces non-invertible topological operators linked to generalized symmetries in type IIB supergravity, expanding the understanding of duality symmetries and fractional charges.

Findings

Identification of SL(2,Z)-covariant conserved currents

Construction of SL(2,Z) invariant invertible operators

Introduction of non-invertible operators with fractional charges

Abstract

In this work, we uncover a collection of non invertible topological operators linked to the 0-, 2-, 4- and 6-form symmetries related to the type IIB superstring effective theory. By pinpointing the $\text{SL}(2,\mathbb{Z})$-covariant conserved currents corresponding to these symmetries, we first derive a set of $\text{SL}(2,\mathbb{Z})$ invariant invertible topological operators that encapsulate the integer BPS charges inherent to the theory. Moving forward, by incorporating fractional charges while maintaining gauge invariance, we introduce the non invertible topological operators for each generalized symmetry, and in particular for the $\text{SL}(2,\mathbb{Z})$ 0-form symmetry. Identifying them as a novel kind of symmetries reminiscent of fractional quantum Hall effect (FQHE)-like non invertible operators, we study their action on charged objects and their associated SymTFTs obtained via half (higher) gauging.