Title: On the Extended W-Algebra of Type SL_2 At Positive Rational Level
Speaker: Simon Wood, IPMU
Date: Wednesday, October 9, 2013
Time: 11:00am – 12:00pm
Place: Seminar Room 313, Simons Center
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Abstract: The extended W-algebra of type sl_2 at positive rational level is a vertex operator algebra that is of great interest in logarithmic conformal field theory. In this talk I will give an overview of how it is constructed as a subvertex operator algebra of a lattice vertex operator algebra by means of so called screening operators and Jack symmetric polynomials. I will also sketch how the screening operator formalism allows one to prove c_2 cofiniteness, compute relations in Zhu’s algebra and classify all simple modules of the extended W-algebra of type sl_2 at positive rational level.