A matrix model black hole: act II
TLDR
In this article, the connection between the deformed matrix model and two dimensional black holes was discussed in the light of new developements involving fermionic type 0A-string theory.Abstract:
In this paper we discuss the connection between the deformed matrix model and two dimensional black holes in the light of the new developements involving fermionic type 0A-string theory. We argue that many of the old results can be carried over to this new setting and that the original claims about the deformed matrix model are essentially correct. We show the agreement between correlation functions calculated using continuum and matrix model techniques. We also explain how detailed properties of the space time metric of the extremal black hole of type 0A are reflected in the deformed matrix model.read more
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Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics
TL;DR: In this paper, a kappa-symmetric Green-Schwarz action for type IIA string theory on AdS_2 was constructed, and the super-eigenvalues formed a consistent subsector, and their dynamics reduced to that of the supersymmetric Calogero-Moser model.
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Flux Backgrounds in 2D String Theory
TL;DR: In this article, the relation between the 0A matrix model and the extremal black hole in two dimensions was studied using T-duality and a dual flux background was constructed as an orbifold of the 0B background.
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On Black Hole Thermodynamics of 2-D Type 0A
TL;DR: In this paper, the authors presented a detailed analysis of the thermodynamics of two-dimensional black hole solutions to type 0A with q units of electric and magnetic flux and derived quantities such as entropy and mass for an arbitrary non-extremal black hole.
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A Holographic View on Matrix Model of Black Hole
Takao Suyama,Piljin Yi +1 more
Abstract: We investigate a deformed matrix model proposed by Kazakov this http URL. in relation to Witten's two-dimensional black hole. The existing conjectures assert the equivalence of the two by mapping each to a deformed c=1 theory called the sine-Liouville theory. We point out that the matrix theory in question may be naturally interpreted as a gauged quantum mechanics deformed by insertion of an exponentiated Wilson loop operator, which gives us more direct and holographic map between the two sides. The matrix model in the usual scaling limit must correspond to the bosonic SL(2,R)/U(1) theory in genus expansion but exact in \alpha'. We successfully test this by computing the Wilson loop expectation value and comparing it against the bulk computation. For the latter, we employ the \alpha'-exact geometry proposed by Dijkgraaf, Verlinde, and Verlinde, which was further advocated by Tseytlin. We close with comments on open problems.
References
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Comment of gauged WZW theory
M. Bershadsky,David Kutasov +1 more
TL;DR: In this paper, the authors relate string theory on SL(2, R )/SO(2) to the standard two-dimensional non-critical string theory, and discuss the spectrum and interactions in the model.
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String theory on the one dimensional lattice
TL;DR: In this article, the authors study string theory in one dimension starting from the discretized approximation using lattice regularization, and show that the results can be written in a closed form.
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On the correlation functions of the special operators in c = 1 quantum gravity
Ulf H. Danielsson,David J. Gross +1 more
TL;DR: In this paper, the special operators that occur for discrete momenta in c = 1 conformal field theory coupled to quantum gravity using matrix model techniques are analyzed and two-point functions for non-zero momentum are calculated.
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Symmetries and special states in two-dimensional string theory
TL;DR: In this paper, the W∝ symmetry of c = 1 quantum gravity was used to compute matrix model special state correlation functions, and the results were compared, and found to agree with expectations from the Liouville model.
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Non-perturbative RR Potentials in the c=1 Matrix Model
David J. Gross,Johannes Walcher +1 more
TL;DR: In this paper, the potential energy of the zero mode of the RR scalar in two-dimensional type 0B string theory has been computed in the \hat c=1 matrix model, where the potential is induced by turning on a background RR flux.