Vertex operator superalgebra structure for degenerate minimal models: Neveu-Schwarz algebra

Details Vertex operator superalgebra structure for degenerate minimal models: Neveu-Schwarz algebra Vertex operator superalgebra structure for degenerate minimal models: Neveu-Schwarz algebra

2001-01-19

arxiv.org/abs/math/0101165v2

Mathematics

Quantum Algebra

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Scientific paper

The $\mathbb{Z}/2\mathbb{Z}$--graded intertwining operators are introduced.
We study these operators in the case of ``degenerate'' N=1 minimal models, with
the central charge $c=3/2$. The corresponding fusion ring is isomorphic to the
Grothendieck ring for the Lie superalgebra ${\mathfrak osp}(1|2)$. We also
discus multiplicity--2 fusion rules and logarithmic intertwiners.

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