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UID:cfbff3488ebbd31b6809c381f767bbd8
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20241105T203147
SUMMARY:Differential equations for twisted intertwining operators among mostly untwisted modules 
LOCATION:Hill 705
DESCRIPTION:<p>Modules for a vertex operator algebra can be twisted by an automorphism 
 of the vertex operator algebra. Intertwining operators among twisted module
 s describe how a twisted module can act on another twisted module, analogou
 s to how the vertex operator algebra acts on itself.</p><p>It is believed t
 hat products of twisted intertwining operators should converge, under suita
 bly nice conditions, as they describe 4-point correlation functions in orbi
 fold conformal field theory. Following Yi-Zhi Huang’s method for proving co
 nvergence of products of (untwisted) intertwining operators, we obtain new 
 differential equations for products of certain types of twisted intertwinin
 g operators after deriving a new Jacobi identity for them. Physically, the 
 correlation functions we have proved to converge describe how chiral fields
  from the untwisted sector act on a single chiral twisted sector.</p>
CONTACT:Daniel Tan, Rutgers University 
DTSTAMP:20260827T155935
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SEQUENCE:0
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