CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:       Antun Milas, Univ. at Albany 

Time:          Wednesday, November 16, at 4:30pm       

Place:         Earth Sciences 152A, Univ. at Albany 

Title:         Representations of N=1 Vertex Operator Superalgebras


Abstract:


The notion of vertex operator superalgebra is a mild, but important
generalization of the notion of vertex operator algebra. Important 
examples of vertex operator superalgebras include certain 
representations of affine Kac-Moody Lie superalgebras, 
Clifford algebras and NS Lie superalgebras. Although there are lots 
of similarities between vertex algebras and vertex superalgebras, 
there are important differences. For example, every vertex operator 
superalgebra admits a canonical automorphism of order two which, 
in particular, allows us to introduce the corresponding category of 
twisted modules. I will explain what has to be done to construct
modular tensor categories from ordinary and twisted representations 
associated to N=1 Neveu-Schwarz Lie superalgebra.

No knowledge of vertex operator algebra theory will be assumed.


Refreshments at 4:15pm in ES 152.