Hilbert series and Black Hole Microstate counting: Research Seminar by Dr. Abhishek Chowdhury | Shiv Nadar University
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Hilbert series and Black Hole Microstate counting: Research Seminar by Dr. Abhishek Chowdhury

A success story in string theory has been the microscopic understanding of black hole entropy. Exact results for the BPS index (Entropy) are known for a class of BPS dyons in type II string theory compactified on a six dimensional torus. We have set up the problem of counting the same BPS states in a duality frame in which the states carry only Ramond-Ramond charges. We explicitly counted the number of states carrying the lowest possible charges and find agreement with the result obtained in other duality frames. Furthermore, we found that after factoring out the supermultiplet structure, each of these states carry zero angular momentum. We have extended it to other small charges but with non-abelian gauge fields. On the mathematics and computational side it all boils down to solving multivariate polynomial equations and Hilbert series provides a useful way to classify the building blocks (the Monomials).

Event Date: 
Thursday, November 29, 2018 -
14:1515:15

Speaker: Dr.  Abhishek Chowdhury             

Postdoctoral Fellow, Institute for Theoretical Physics, Technical University of Vienna (TU Wien), Austria

Thursday 29, Nov 2018
02:15 PM - 03:15 PM
B-012

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