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Boundary Description of Microstates of the Non-Supersymmetric Two-Dimensional Black Hole - Ronak M Soni (DAMTP)
2022-04-28 11:30 - 12:30 UTC | Potter Room, DAMTP
In the non-supersymmetric matrix quantum mechanics (MQM) dual to the 2d black
hole, we identify a set of degenerate states as the duals of black hole microstates. At leading order in
large N , the log of number of these states (already calculated by Gross and Klebanov) matches the
Bekenstein-Hawking entropy formula, and also agrees with one of two candidates found by Kazakov
and Tseytlin. The mass term in Kazakov and Tseytlin’s free energy also matches the energy of
these states conjectured by Gross and Klebanov; we show this conjecture. We also calculate the
microcanonical entropy in a higher-energy phase, which we conjecture to be dual to the c = 0 phase
of 2d string theory. We try to interpret our results in string theoretic terms and find that it is
consistent with some arguments of Sathiapalan, Kogan and Atick and Witten regarding the phase
structure of string theory. Finally, we discuss a tantalising analogy to Motzkin walk models.
