New Crosscap States
Abstract
Abstract We investigate crosscap states in 2D rational conformal field theories (RCFTs), with an emphasis on the role of noninvertible symmetries. In particular, we argue for the existence of crosscap states labeled by each Verlinde line in the RCFT, extending previous constructions involving simple currents. Evidence for the existence of these new states is obtained by deriving a generalized Cardy condition incorporating both crosscaps and topological defects, which we check in some concrete examples. Finally, we briefly discuss how these crosscap states transform under the action of Verlinde lines, as well as the connection to mixed anomalies between parity and internal symmetries.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Quantum many-body systems
Topological Materials and Phenomena
Publication details
- Journal / source
- Progress of Theoretical and Experimental Physics
- Publisher
- Oxford University Press (OUP)
- Volume
- 2026
- Issue
- 3
- Publication date
- 30 January 2026
- Language
- EN