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Correspondence between genus expansion and \alpha' expansion in string theory
2017-03-28  【 】【打印】【关闭

Institute of Theoretical Physics

Chinese Academy of Sciences

 Key Laboratory of Theoretical Physics

Seminar

Title

题目

Correspondence between genus expansion and \alpha' expansion in string theory

Speaker

报告人

杨海棠教授

Affiliation

所在单位

四川大学物理学院

Date

日期

2017年3月28日(星期二)下午 14:00 PM

Venue

地点

Room 6620,ITP new Building/理论物理所新楼6620报告厅

Abstract

摘要

In this paper, we demonstrate that locally, the \alpha' expansion of a string propagating in AdS can be summed into a closed expression,where the \alpha' dependence is manifested. The T-dual of this sum exactly matches the expression controlling all genus expansion in the Goparkumar-Vafa formula, which in turn also matches the loop expansion of the Chern-Simons gauge theory. We therefore find an exact correspondence between the \alpha' expansion for a string moving in AdS and the genus expansion of a string propagating in four dimensional flat spacetime. We are then able to give a closed form of the \alpha' expansion for all values of \alpha'^{1/2}/R_{AdS}. Moreover, the correspondence makes it possible to conjecture the exact g_s dependence of the strongly coupled theories.

Contact Personn

 

李田军
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