THE ŝl(n)k-WZNW FUSION RING: A COMBINATORIAL CONSTRUCTION AND A REALISATION AS QUOTIENT OF QUANTUM COHOMOLOGY

@inproceedings{STROPPEL2009THESF,
  title={THE ŝl(n)k-WZNW FUSION RING: A COMBINATORIAL CONSTRUCTION AND A REALISATION AS QUOTIENT OF QUANTUM COHOMOLOGY},
  author={CHRISTIAN KORFF AND CATHARINA STROPPEL},
  year={2009}
}
  • CHRISTIAN KORFF AND CATHARINA STROPPEL
  • Published 2009
A simple, combinatorial construction of the ŝl(n)k-WZNW fusion ring, also known as Verlinde algebra, is given. As a byproduct of the construction one obtains an isomorphism between the fusion ring and a particular quotient of the small quantum cohomology ring of the Grassmannian Grk,k+n. We explain how our approach naturally fits into known combinatorial descriptions of the quantum cohomology ring, by establishing what one could call a ‘BosonFermion-correspondence’ between the two rings. We… CONTINUE READING