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DTSTART;TZID=America/New_York:20230609T100000
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SUMMARY:Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24
DESCRIPTION:Quantum Matter Seminar \nSpeakers: Gerald Höhn (Kansas State University) & Sven Möller (University of Hamburg) \nTitle: Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24 \nAbstract: We discuss the classfication of self-dual vertex operator superalgebras (SVOAs) of central charge 24\, or in physics parlance the purely chiral 2-dimensional fermionic conformal field theories with just one primary field. \nThere are exactly 969 such SVOAs under suitable regularity assumptions and the assumption that the shorter moonshine module VB^# is the unique self-dual SVOA of central charge 23.5 whose weight-1/2 and weight-1 spaces vanish. \nWe construct and classify the self-dual SVOAs by determining the 2-neighbourhood graph of the self-dual (purely bosonic) VOAs of central charge 24 and also by realising them as simple-current extensions of a dual pair containing a certain maximal lattice VOA. We show that all SVOAs besides VB^# x F and potential fake copies thereof stem from elements of the Conway group Co_0\, the automorphism group of the Leech lattice. \nBy splitting off free fermions F\, if possible\, we obtain the classification for all central charges less than or equal to 24.\nReference: G. Höhn\, S. Möller\, arXiv:2303.17190.
URL:https://cmsa.fas.harvard.edu/event/qm_6923/
LOCATION:Virtual
CATEGORIES:Quantum Matter
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