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Localised and nonuniform thermal states of super-Yang-Mills on a circle
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abstract
At low energies or temperatures, maximally supersymmetric Yang-Mills theory on $\mathbb R^{(t)}\times S^1$ with large $N$ gauge group $SU(N)$ and strong t'Hooft coupling is conjectured to be dual to the low energy dynamics of a collection of D0-branes on a circle. We construct thermal states in the gravitational side of the correspondence where we find a first-order phase transition between states that are uniform on the $S^1$ and states that are localised on it. When compared with lattice computations that are now available, these critical values provide the first instance where a first-order phase transition is tested on both sides of gauge/gravity duality.
Forward citations
Cited by 2 Pith papers
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Localized black holes in AdS3 x S3 x T4 fill the low-energy spectrum, dominate the microcanonical ensemble below a small positive energy, and appear to have the same entanglement entropy as BTZ black holes.
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A Central Charge for sub-AdS Holography
Sub-AdS scales are mapped to sub-stacks of M < N D-branes, yielding a scale-dependent central charge c(R0) = (R0/L)^{d+q-1} c(L), with consistency checks from small black holes and Dp-brane theories.
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