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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 | 李田军 |
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