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IAS PROGRAM ON PARTICLE THEORY
The Partition Function of 3D Gravity from Chern-Simons Theory
Mr. Cedric YU, New York University
日期 : 2019年 5月 30日 (星期四)
時間 : 上10時45分
地點 : 香港科技大學 李兆基校園 盧家驄薈萃樓4樓 高研院4042室
詳情

Abstract

It remains an open question whether pure gravity in three dimensions with a negative cosmological constant can exist as a quantum theory. A way to explore this is to compute the partition function semi-classically as a Euclidean path integral. It has been known that summing only over real Euclidean geometries results in a quantity that is pathological as a partition function. One conjecture, among others, is that complex geometries might also contribute. Such possibility is naturally formulated in the first-order formalism of gravity as a Chern-Simons Theory. It is then necessary to be able to evaluate the Euclidean Chern-Simons path integral perturbatively. It will be demonstrated to one-loop that, already for the simplest geometry, i.e. pure Anti-de Sitter (AdS), non-trivial analytic continuations must be performed in order that the Euclidean Chern-Simons path integral can be identified as the gravity partition function.


About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/particle_theory.

HKUST Jockey Club Institute for Advanced Study
Enquiries: ias@ust.hk / 2358 5912
http://ias.ust.hk