Sameer Murthy 教授学术报告
Title:Unitary matrix models, free fermion ensembles, and the giant graviton expansion
Speaker: Sameer Murthy
Affiliation: King's College London
Time: 16:00-17:00, Tuesday, 28th June, 2022 (UTC+8, Beijing Time)
Venue: Zoom Meeting
Abstract
I will discuss a class of matrix integrals over the unitary group U(N) with an infinite set of couplings, which include the partition functions of free four-dimensional gauge theories on S3 and the superconformal index of super Yang-Mills theory.
I will show how any such model can be expressed in terms of a system of free fermions in an ensemble parameterized by the infinite set of couplings. Integrating out the fermions in a given quantum state leads to a convergent expansion as a series of determinants. By further averaging over the ensemble, we obtain a formula for the matrix integral as a q-series with successive terms suppressed by q^N. This provides a matrix-model explanation of the giant graviton expansion that has been observed recently in the literature.
About the Speaker
Professor Sameer Murthy graduated from the Indian Institute of Technology Bombay, and got his PhD at Princeton University under the supervision of Professor Nathan Seiberg. He subsequently held a research position at the Abdus Salam ICTP Trieste, a Marie Curie fellowship at the University of Paris, and a senior post-doctoral research position at Nikhef Amsterdam where he was awarded the NWO VIDI research grant by the Dutch organisation for scientific research. In 2015 he was awarded the prestigious ERC consolidator grant to lead a research team working on a research project involving quantum gravity, black holes, and modular forms. He moved to King's College London as a Lecturer in Theoretical Physics in September 2013, where he is currently Professor of Theoretical and Mathematical Physics.
His research interests lie broadly in quantum field theory and string theory, and their interactions with mathematics.
More information could be found on his personal page: https://www.kcl.ac.uk/people/sameer-murthy .
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc