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Center & Programs Conferences KIAS-YITP Joint Workshop 2015: Geometry in Gauge Theories and String Theory
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Exact Path Integral for 3D Quantum Gravity
SPEAKER  |  Seiji TERASHIMA
INSTITUTE  |  YITP, Japan
DATE  |  September 16(Wed), 2015
TIME  |  11:50
PLACE  |  1114 International Conference Hall, 1st Floor, KIAS Bldg 1
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ABSTRACT  |  Three dimensional Euclidean pure gravity with negative cosmological constant can be formulated in terms of the Chern-Simons theory, classically. This theory can be written in a supersymmetric way by introducing auxiliary gauginos and scalars. We calculate the exact partition function of this ChernSimons theory by using the localization technique. Thus we obtain the quantum gravity partition function, assuming that it can be obtained non-perturbatively by summing over partition functions of Chern-Simons theory on topologically different manifolds. The resultant partition function is modular invariant, and in the case of central charge is expected to be 24, is the J-function, predicted by Witten.
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