Formulas of Verlinde type for non-simply connected groups

Abstract

We derive Verlinde's formula from the fixed point formula for loop groups proved in the companion paper "A fixed point formula for loop group actions", and extend it to compact, connected groups that are not necessarily simply-connected.

24 pages

References in corpus (7)

• Conformal blocks, fusion rules and the Verlinde formula
• The action of outer automorphisms on bundles of chiral blocks
• The combinatorics of the Verlinde formulas
• Localization in GWZW and Verlinde formula
• Equivariant Kaehler Geometry and Localization in the G/G Model
• The Verlinde formula for PGL(p)
• A fixed point formula for loop group actions

Cited by in corpus (5)

• Affine su(2) fusion rules from gerbe 2-isomorphisms
• The Verlinde bundles and the semihomogeneous Wirtinger duality
• One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories
• A fixed point formula for loop group actions
• Orthogonal bundles on curves and theta functions