Verlinde algebra

In mathematics, a Verlinde algebra is a finite-dimensional associative algebra introduced by Erik Verlinde (1988), with a basis of elements φ_λ corresponding to primary fields of a rational two-dimensional conformal field theory, whose structure constants N^ν
_λμ describe fusion of primary fields.

Verlinde formula

In terms of the modular S-matrix, the fusion coefficients are given by^[1]

${\displaystyle N_{\lambda \mu }^{\nu }=\sum _{\sigma }{\frac {S_{\lambda \sigma }S_{\mu \sigma }S_{\sigma \nu }^{*}}{S_{0\sigma }}}}$

where ${\displaystyle S^{*}}$ is the component-wise complex conjugate of ${\displaystyle S}$.

Twisted equivariant K-theory

If G is a

• Fusion rules

Notes