Seminar
The Partition Function of 3D Gravity from Chern-Simons Theory
Mr.
Cedric YU
New York University
30 May 2019 (Thursday)
10:45 am
IAS4042, 4/F, Lo Ka Chung Building, Lee Shau Kee Campus, HKUST
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.
The seminar is free and open to the public. No registration is required. Seating is on a first come, first served basis.
HKUST Jockey Club Institute for Advanced Study
URL:
http://ias.ust.hk
Enquiries: ias@ust.hk / 2358 5912
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