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Bimodule and twisted representation of vertex operator algebras

Author:
Jiang, QiFen   Jiao, XiangYu  


Journal:
Science China Mathematics


Issue Date:
2016


Abstract(summary):

In this paper, for a vertex operator algebra V with an automorphism g of order T, an admissible V-module M and a fixed nonnegative rational number \(n \in \tfrac{1} {T}\mathbb{Z}_ +\), we construct an A g,n (V)-bimodule A g,n (M) and study its properties, discuss the connections between bimodule A g,n (M) and intertwining operators. Especially, bimodule \(A_{g,n - \tfrac{1} {T}} (M)\) (M) is a natural quotient of A g,n (M) and there is a linear isomorphism between the space \(\mathcal{I}_{M M^j }^{M^k }\) of intertwining operators and the space of homomorphisms \(Hom_{A_{g,n} (V)} \left( {A_{g,n} \left( M \right) \otimes _{A_{g,n} (V)} M^j \left( s \right),M^k \left( t \right)} \right)\) for s, tn, M j , M k are g-twisted V modules, if V is g-rational.


Page:
397-410


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