Verlinde algebra

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

For example, if G is a compact Lie group, there is a rational conformal field theory whose primary fields correspond to the representations λ of some fixed level of loop group of G. For this special case Freed, Hopkins and Teleman (2001) showed that the Verlinde algebra can be identified with twisted equivariant K-theory of G.

References

External links

This article is issued from Wikipedia - version of the 11/8/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.