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arXiv · 1606.04951

Precision lattice test of the gauge/gravity duality at large-$N$

Evan Berkowitz·Enrico Rinaldi·Masanori Hanada·Goro Ishiki·Shinji Shimasaki·Pavlos Vranas
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Abstract

We pioneer a systematic, large-scale lattice simulation of D0-brane quantum mechanics. The large-$N$ and continuum limits of the gauge theory are taken for the first time at various temperatures $0.4 \leq T \leq 1.0$. As a way to directly test the gauge/gravity duality conjecture we compute the internal energy of the black hole directly from the gauge theory and reproduce the coefficient of the supergravity result $E/N^2=7.41T^{14/5}$. This is the first confirmation of the supergravity prediction for the internal energy of a black hole at finite temperature coming directly from the dual gauge theory. We also constrain stringy corrections to the internal energy.

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Evan Berkowitz, Enrico Rinaldi, Masanori Hanada, Goro Ishiki, Shinji Shimasaki, Pavlos Vranas. 2016-06-15. Precision lattice test of the gauge/gravity duality at large-$N$. https://doi.org/10.1103/physrevd.94.094501

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