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题目：Affinizations, tensor algebras and operator product expansion

报告人：黄一知

（美国Rutgers大学教授，北京大学数学中心特聘教授）

时间：2012年5月21日（周一）4:30-5:30

地点：数学系（致远楼）107

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数学系、数学所

摘要： Given a vector space, its affinization

is the direct sum of its negative, positive and zero

parts. I recently found that on the tensor algebra

of the negative part of the affinization, there is an

algebraic structure satisfying the axioms for open-string

vertex algebras (algebras introduced by Kong and me in 2004)

and also an additional meromorphicity property. I call such an

algebra a meromorphic open-string vertex algebra.

A meromorphic open-string vertex algebra does not

satisfy the Jacobi identity, the commutator formula,

locality, commutativity, skew-symmetry or even

the associator formula. But it still satisfies the

most fundamental property for a quantum field theory:

the existence of operator product expansion. In fact,

it satisfies associativity, a stronger property implies the

operator product expansion.