"Modular forms and black hole entropy," by Edgar Shaghoulian (UCSB)

Tuesday, November 10, 2015 - 4:00pm to 5:00pm
TEP Seminars

TEP Seminar

Physics & Astronomy Building (PAB) Room 4-330
Tuesday, November 10, 2015

Guest Speaker: Edgar Shaghoulian (UCSB)

Talk Title: "Modular forms and black hole entropy"


We will utilize modular invariance of (d+1)-dimensional conformal field theories to argue that the logarithm of the partition function transforms as the absolute value of a modular form of weight d-1. We will use this property to derive a generalized Cardy formula which relates the asymptotic degeneracy of states to the vacuum energy of the theory. After a few checks of the formula, we will use it to reproduce the Bekenstein-Hawking entropy of large AdS-Schwarzschild black holes (plus logarithmic corrections), boosted AdS-Schwarzschild black branes, and large AdS-Kerr black holes with arbitrary angular velocities. These calculations provide a microscopic count of the states of a large class of higher-dimensional black holes. If time permits, we will provide extensions of this framework to theories with conserved U(1) charges and which violate hyperscaling.

PAB 4-330