engleski

Beta-gamma ghosts: Whittaker modules and fusion rules

Bosonic ghost vertex algebra (beta-gamma ghost) is an important object both in physics (string theory) and in mathematics (representation theory), arising as a module for the Weyl associative algebra. In this talk we give some information on betagamma ghosts and their modules. In particular, in the first part we prove that irreducible modules of a VOA are also irreducible for orbifolds under some conditions and demonstrate this on the example of Whittaker modules for bosonic ghosts. In the second part, we describe fusion rules in the category of weight modules for the betagamma ghost and explicitly construct the associated intertwining operators. This talk is based on two papers, first one joint with D. Adamovic, C.-H. Lam and N. Yu, and the second one with D. Adamovic.

Vertex algebras, vertex operator algebras, vertex algebra modules, Whittaker modules, Lie algebras, irreducible, cyclic orbifold, fusion rules, intertwining operators, Lie superalgebras

nije evidentirano