Abstract:Recently, it has been proposed that the deformed matrix model describes a twodimensional type 0A extremal black hole. In this paper, the thermodynamics of 0A charged non-extremal black holes is investigated. We observe that the free energy of the deformed matrix model to leading order in 1/q can be seen to agree to that of the extremal black hole. We also speculate on how the deformed matrix model is able to describe the thermodynamics of non-extremal black holes.
We consider two dimensional string backgrounds. We discuss the physics of long strings that come from infinity. These are related to non-singlets in the dual matrix model description.
We consider two dimensional string backgrounds. We discuss the physics of long strings that come from infinity. These are related to non-singlets in the dual matrix model description.
“…We remove these cut-off dependent terms by subtracting the action value of the reference extremal black hole with the same charges. The periodicity β ex in the Euclidean time direction for the extremal black hole is chosen from the relation [22][23] [9] …”
Section: Non-extremal Black Holes : Euclidean Action Approachmentioning
We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS 2 geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solution using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any α ′ corrections. *
“…At lowest order in α , the effective action of type 0A string theory admits a class of RR charged black hole solutions [26]- [29]. In Schwarzchild-like coordinates, the geometry can be written (for µ = 0, i.e.…”
Section: The Black Hole In Type 0a Gravitymentioning
confidence: 99%
“…For q = 0 the black hole solution of (1.3) applies (with k = 5/2), and can again be described on the worldsheet as the N = 1 supersymmetric SL(2, R)/ U(1) coset model. The more general black holes with q = 0 have been studied in [26]- [29]. Can one form black holes in 2D string theory?…”
The nonperturbative 1 → N tachyon scattering amplitude in 2D type 0A string theory is computed. The probability that N particles are produced is a monotonically decreasing function of N whenever N is large enough that statistical methods apply. The results are compared with expectations from black hole thermodynamics.
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