Submatrix deconfinement and small black holes in AdS

Abstract

Large $N$ gauged multi-matrix quantum mechanical models usually have a first order Hagedorn transition, related to deconfinement. In this transition the change of the energy and entropy is of order $N^2$ at the critical temperature. This paper studies the microcanonical ensemble of the model at intermediate energies $1<<E<<N^2$ in the coexistence region for the first order phase transition. Evidence is provided for a partial deconfinement phase where submatrix degrees of freedom for a $U(M)$ subgroup of $U(N)$, with $M<<N$ have an excitation energy of order $M^2$ and are effectively phase separated from the other degrees of freedom. These results also provide a simple example of the Susskind-Horowitz-Polchinski correspondence principle where a transition from a long string to a black hole is smooth. Implications for the dual configurations of small black holes in $AdS$ are discussed.

18 pages, 1 figure. v2: references added

References in corpus (9)

• Giant Magnons
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• A proposal of the gauge theory description of the small Schwarzschild black hole in AdS${}_5\times$S${}^5$
• Small AdS black holes from SYM
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Giant magnon bound states from strongly coupled N=4 SYM
• The Large Dimension Limit of a Small Black Hole Instability in Anti-de Sitter Space
• Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes

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