1 citations · 2 across the 6 of their papers we have counts for
6 papers
Monstrous parafermionic defects and other non-invertible symmetries in chiral CFTs
Roberto Volpato
The structure of non-invertible symmetries in 2D CFT is closely tied to the algebra of preserved holomorphic fields, its representation theory, and its embedding in the full chiral…
Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models
Roberta Angius, Roberto Volpato
We propose a sigma-model analogue of Hodge loci in the moduli space of geometric Calabi-Yau compactifications, characterized by the emergence of non-trivial rational Hodge endomorp…
Non-invertible defects from the Conway SCFT to K3 sigma models II: duality and Fibonacci defects
Roberta Angius, Stefano Giaccari, Sarah M. Harrison +1
We continue the study, initiated in [hep-th:2504.18619], of topological defect lines (TDLs) in the Conway module and K3 non-linear sigma models (NLSMs). In the cas…
Non-invertible defects from the Conway SCFT to K3 sigma models I: general results
Roberta Angius, Stefano Giaccari, Sarah M. Harrison +1
We initiate the study of supersymmetry-preserving topological defect lines (TDLs) in the Conway moonshine module . We show that the tensor category of such defects,…
Vertex algebras, topological defects, and Moonshine
Roberto Volpato
We discuss topological defect lines in holomorphic vertex operators algebras and superalgebras, in particular Frenkel-Lepowsky-Meurman Monster VOA with central charge…
Topological defects in K3 sigma models
Roberta Angius, Stefano Giaccari, Roberto Volpato
We consider the topological defect lines commuting with the spectral flow and the superconformal symmetry in two dimensional non-linear sigma models on K3. By s…