Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
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In this paper, a two-dimensional dilaton gravity system was studied and the symmetry breaking was studied in terms of a Schwarzian derivative effective action for a reparametrization.Abstract:
We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The asymptotic symmetries of $AdS_2$ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the $AdS_2$ geometry and they are explicitly broken by the small deformation away from $AdS_2$. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out of time order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.read more
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References
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Microscopic origin of the Bekenstein-Hawking entropy
Andrew Strominger,Cumrun Vafa +1 more
TL;DR: The Bekenstein-Hawking area entropy relation S BH = A 4 was derived for a class of five-dimensional extremal black holes in string theory by counting the degeneracy of BPS solition bound states.
Journal ArticleDOI
Microscopic Origin of the Bekenstein-Hawking Entropy
Andrew Strominger,Cumrun Vafa +1 more
TL;DR: The Bekenstein-Hawking area-entropy relation for extremal black holes in string theory was derived in this paper by counting the degeneracy of BPS soliton bound states.
Journal ArticleDOI
Some properties of Noether charge and a proposal for dynamical black hole entropy
Vivek Iyer,Robert M. Wald +1 more
TL;DR: It is proved that the first law of black hole mechanics holds for arbitrary perturbations of a stationary black hole, and a local, geometrical prescription is proposed for the entropy, $S_{dyn}$, of a dynamical black hole.
Journal ArticleDOI
Remarks on the Sachdev-Ye-Kitaev model
Juan Maldacena,Douglas Stanford +1 more
TL;DR: In this paper, the authors studied the quantum mechanical model of $N$ Majorana fermions with random interactions of a few Fermions at a time (Sachdev-Ye-Kitaev model) in the large N$ limit.
Journal ArticleDOI
Gapless spin-fluid ground state in a random quantum Heisenberg magnet.
Subir Sachdev,Jinwu Ye +1 more
TL;DR: The spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions is examined with generalizing to SU(M) symmetry and studying the large M limit to find the spin-fluid phase to be generically gapless.