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Correspondence between genus expansion and \alpha' expansion in string theory |
2017-03-28
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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
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李田军 |
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