05-27【周业浩】管楼1418 吴文俊数学重点实验室数学物理系列报告之2021-02

发布者:卢珊珊发布时间:2021-05-25浏览次数:354

题目: On the Existence of Heterotic-String and Type-II-Superstring Field Theory Vertices


报告人:周业浩,Perimeter Institute for Theoretical Physics 



时间:2021年5月27日 (星期四)下午 4:00-5:00


地点:东区管理科研楼1418教室



摘要:We consider two problems associated to the space of Riemann surfaces that are closely related to string theory. We first consider the problem of existence of heterotic-string and type-II-superstring field theory vertices in the product of spaces of bordered surfaces parameterizing left- and right-moving sectors of these theories. It turns out that this problem can be solved by proving the existence of a solution to the BV quantum master equation in

moduli spaces of bordered spin-Riemann surfaces. We first prove that for arbitrary genus g, nNS Neveu-Schwarz boundary components, and nR Ramond boundary components such so?lutions exist. We also prove that these solutions are unique up to homotopies in the category of BV algebras.