Submatrix deconfinement and small black holes in AdS

Berenstein, David

doi:10.1007/jhep09(2018)054

Submatrix deconfinement and small black holes in AdS

Journal Article · Tue Sep 11 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2018)054· OSTI ID:1499189

Berenstein, David ^[1]

Univ. of California, Santa Barbara, CA (United States). Dept. of Physics; Univ. of California, Santa Barbara (United States)

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 N² at the critical temperature. This paper studies the microcanonical ensemble of the model at intermediate energies 1 << E << N² 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 M² and are effectively phase separated from the other degrees of freedom. Furthermore, 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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011702

OSTI ID:: 1499189

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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