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UID:81142854f634709ee2693d7b1cde1e7b
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20251117T131343
SUMMARY:C_n-cofinite twisted modules for C_2-cofinite vertex operator algebras
LOCATION:Hill 705
DESCRIPTION:<p>There is a well-known finiteness condition for vertex operator algebras 
 and their modules called C_n-cofiniteness. It was shown by Geoffrey Buhl th
 at C_2-cofiniteness of a CFT-type vertex operator algebra is strong enough 
 to guarantee that all of its finitely-generated weak modules are C_n-cofini
 te for all n &gt; 0. In this talk, we will discuss the extension of Buhl's 
 result to the twisted case, i.e. the orbifold CFT setting. Given a vertex o
 perator algebra V with a general automorphism g of V, we introduce a notion
  of C_n-cofiniteness for weak g-twisted V-modules. When V is C_2-cofinite a
 nd of CFT type, we show that all finitely-generated weak g-twisted V-module
 s are C_n-cofinite for all n &gt; 0. This talk is based on my work <a href=
 "https://arxiv.org/abs/2510.26657">https://arxiv.org/abs/2510.26657</a>.</p
 >
CONTACT:Daniel Tan, Rutgers University
DTSTAMP:20260829T223028
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SEQUENCE:0
TRANSP:OPAQUE
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