REVIEW 1 cited by
Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We study (generalized) discrete symmetries of 2d semisimple TQFTs. These are 2d TQFTs whose fusion rules can be diagonalized. We show that, in this special basis, the 0-form symmetries always act as permutations while 1-form symmetries act by phases. This leads to an explicit description of the gauging of these symmetries. One application of our results is a generalization of the equivariant Verlinde formula to the case of general Lie groups. The generalized formula leads to many predictions for the geometry of Hitchin moduli spaces, which we explicitly check in several cases with low genus and SO(3) gauge group.
Forward citations
Cited by 1 Pith paper
-
On mixed 't Hooft anomalies of emergent symmetries
An infrared mixed anomaly involving an emergent symmetry forces the UV completion to contain non-genuine operators, which the paper demonstrates in 2D and 3D examples and links to a correspondence between quantum coho...
Discussion (0). Continue with ORCID to comment.