On Non Invertible Symmetries in Type IIB Supergravity

In this work, we uncover a collection of non invertible topological operators linked to the 0-, 2-, 4- and 6-form symmetries arising from the type IIB superstring effective pseudo action. By pinpointing the SL(2,R)-covariant conserved currents corresponding to these symmetries, we first derive a set of SL(2,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 SL(2,R) 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.