A braided monoidal category for free super-bosons

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Autor/in:
Erscheinungsjahr:
2014
Medientyp:
Text
Schlagworte:
  • Vertex operator algebras
  • Vertex algebra
  • Affine vertex
  • Algebra
  • Category
  • Module
  • Vertex operator algebras
  • Vertex algebra
  • Affine vertex
  • Algebra
  • Category
  • Module
Beschreibung:
  • The chiral conformal field theory of free super-bosons is generated by weight one currents whose mode algebra is the affinisation of an abelian Lie super-algebra h with non-degenerate super-symmetric pairing. The mode algebras of a single free boson and of a single pair of symplectic fermions arise for evenodd dimension 1|0 and 0|2 of h, respectively. In this paper, the representations of the untwisted mode algebra of free super-bosons are equipped with a tensor product, a braiding, and an associator. In the symplectic fermion case, i.e., if h is purely odd, the braided monoidal structure is extended to representations of the ℤ/2ℤ-twisted mode algebra. The tensor product is obtained by computing spaces of vertex operators. The braiding and associator are determined by explicit calculations from three- and four-point conformal blocks. © 2014 AIP Publishing LLC.
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  • info:eu-repo/semantics/restrictedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/2cb85ada-7612-4d52-9dac-345c7c1879d7