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Counting black hole microstates in string theory using computational algebraic geometry

Published on:

8 November 2023

Primary Category:

High Energy Physics - Theory

Paper Authors:

Sourav Maji,

Abhishek Chowdhury

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Key Details

Applies tools from algebraic geometry like Newton polytopes and Hilbert series to count black hole microstates

Develops numerical techniques like homotopy continuation and monodromy to find solutions of polynomial systems

Matches microstate counts for various D-brane charges with known results from string duality

Demonstrates the power of these geometric methods for understanding black hole entropy

AI generated summary

Counting black hole microstates in string theory using computational algebraic geometry

This paper develops techniques from computational algebraic geometry to count microstates of certain black holes in string theory. It focuses on a system of intersecting D-branes whose microstates are described by solutions to polynomial equations. The paper applies methods like Newton polytopes, homotopy continuation, monodromy, and Hilbert series to solve these equations and match the microstate counts with known results, extending the scope of previous work. Overall, it establishes these geometric techniques as valuable tools for probing black hole entropy in string theory.

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