Gauge-gravity duality -- Super Yang Mills Quantum Mechanics
Simon Catterall, Toby Wiseman
TL;DR
This paper explores the holographic duality between Yang-Mills quantum mechanics and type IIa string theory, using lattice simulations to investigate gravitational phenomena like black hole entropy through gauge theory microstates.
Contribution
It demonstrates the application of lattice Monte Carlo methods to study the duality and provides numerical results for the 4 supercharge theory at finite temperature.
Findings
Numerical evidence supporting the gauge-gravity duality.
Calculation of black hole entropy from gauge theory microstates.
Insights into the thermodynamics of the supercharge theory.
Abstract
We describe the conjectured holographic duality between Yang-Mills quantum mechanics and type IIa string theory. This duality allows us to use lattice Monte Carlo simulations to probe the physics of the gravitational theory - for example, at low energies it provides a computation of black hole entropy in terms of a sum over microstates of the dual gauge theory. Numerical results are presented of the 4 supercharge theory at finite temperature
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