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DTSTART;TZID=America/New_York:20241108T100000
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SUMMARY:Representations of minimal W-algebras: unitarity and modular invariance
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Victor Kac (MIT) \nTitle: Representations of minimal W-algebras: unitarity and modular invariance \nAbstract: The minimal W-algebras\, obtained by quantum Hamiltonian reduction from affina vertex algebras\, form the most interesting class of vertex algebras\, which includes all superconformal algebras: Virasoro\, Neveu-Scharz\, N=2\, 3\, 4\, and big N=4. I will explain a unified classification of their unitary representations\, and their character formulas. For N=0\, 1\, and 2 these vertex algebras are modular invariant (meaning that tr q^L_0-c/24 is a modular function). However for all other minimal W-algebra modular invariance fails\, and one needs the “modification” of characters to restore modular invariance. Unfortunately the representation-theoretical or physical meaning of the modification is not known (at least to me).
URL:https://cmsa.fas.harvard.edu/event/qm_11824/
LOCATION:Virtual
CATEGORIES:Quantum Field Theory and Physical Mathematics
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