The slˆ(n)k-WZNW fusion ring: A combinatorial construction and a realisation as quotient of quantum cohomology

@inproceedings{Korff2010TheSF,
  title={The slˆ(n)k-WZNW fusion ring: A combinatorial construction and a realisation as quotient of quantum cohomology},
  author={Christian M. Korff and Catharina Stroppel},
  year={2010}
}
  • Christian M. Korff, Catharina Stroppel
  • Published 2010
  • Mathematics, Physics
  • Abstract A simple, combinatorial construction of the sl ˆ ( 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 Gr k , 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 ‘Boson–Fermion-correspondence… CONTINUE READING

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