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Graduate Algebra and Representation Theory Seminar

Meromorphic open-string vertex algebras and pole conditions

Fei Qi, Rutgers University

Location:  Hill 525
Date & time: Monday, 11 December 2017 at 1:00PM - 2:00PM

Abstract: Meromorphic open-string vertex algebra is a noncommutative generalization of vertex algebras. More precisely, it is the algebraic structure formed by vertex operators that are associative but not commutative. Because of the lack of commutativity, the rationality of products of any number of vertex operators (n-rationality hereafter) does not follow from the rationality of products of two vertex operators (2-rationality hereafter). I will show that if the correlation function defined by the product of two vertex operators satisfies certain pole condition, then 2-rationality implies n-rationality.

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