Classical Solutions of 2-Dimensional String Theory

Mandal, Gautam; Sengupta, Anirvan M.; Wadia, Spentra R.

doi:10.1142/s0217732391001822

Cited by 525 publications

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“…2 A comprehensive summary of the exact solutions is provided and motivated from the results of [1] before we explain how to verify the consistency with world-sheet duality. 3 The paper concludes with a list of open problems.…”

Section: Jhep02(2004)019mentioning

confidence: 99%

Branes in the 2D black hole

Ribault¹,

Schomerus²

2004

J. High Energy Phys.

305

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We present a comprehensive analysis of branes in the Euclidean 2D black hole (cigar). In particular, exact boundary states and annulus amplitudes are provided for D0-branes which are localized at the tip of the cigar as well as for two families of extended D1 and D2-branes. Our results are based on closely related studies for the Euclidean AdS 3 model [1] and, as predicted by the conjectured duality between the 2D black hole and the sine-Liouville model, they share many features with branes in Liouville theory. New features arise here due to the presence of closed string modes which are localized near the tip of the cigar. The paper concludes with some remarks on possible applications.

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Section: Jhep02(2004)019mentioning

confidence: 99%

Branes in the 2D black hole

Ribault¹,

Schomerus²

2004

J. High Energy Phys.

305

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“…The next problem is to reconstruct time components of the Lorentz connection ω 0 and the zweibein e 0 a . To this end one has to solve the remaining six equations of motion: (7), (8) and time components of (9), (10). Let us write them for lightcone components to be as close to the matterless case as possible.…”

Section: Solution Of the Constraintsmentioning

confidence: 99%

Effective Action for Scalar Fields in Two-Dimensional Gravity

Katanaev

2002

Annals of Physics

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We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In the presence of a scalar field all geometric fields (zweibein and Lorentz connection) are excluded from the model by solving exactly their Hamiltonian equations of motion. In this way the effective equations of motion and the corresponding effective action for a scalar field are obtained. It is written in a Minkowskian space-time and does not include any geometric variables. The effective action arises as a boundary term and is nontrivial both for open and closed universes. The reason is that unphysical degrees of freedom cannot be compactly supported because they must satisfy the constraint equation. As an example we consider spherically reduced gravity minimally coupled to a massless scalar field. The effective action is used to reproduce the Fisher and Roberts solutions.

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“…At the perturbative level actions approximating the ESBH are known: to lowest order in α ′ an action emerges the classical solutions of which describe the Witten BH [2][3][4], which in turn inspired the CGHS model [5], a 2D dilaton gravity model with scalar matter that has been used as a toy model for BH evaporation. Pushing perturbative considerations further Tseytlin was able to show that up to 3 loops the ESBH is consistent with sigma model conformal invariance [6]; in the supersymmetric case this holds even at 4 loops [7].…”

Section: Introductionmentioning

confidence: 99%

An action for the exact string black hole

Grumiller

2005

J. High Energy Phys.

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A local action is constructed describing the exact string black hole discovered by Dijkgraaf, Verlinde and Verlinde in 1992. It turns out to be a special 2D Maxwell-dilaton gravity theory, linear in curvature and field strength. Two constants of motion exist: mass M ≥ 1, determined by the level k, and U(1)-charge Q ≥ 0, determined by the value of the dilaton at the origin. ADM mass, Hawking temperature T H ∝ 1 − 1/M and Bekenstein-Hawking entropy are derived and studied in detail. Winding/momentum mode duality implies the existence of a similar action, arising from a branch ambiguity, which describes the exact string naked singularity. In the strong coupling limit the solution dual to AdS 2 is found to be the 5D Schwarzschild black hole. Some applications to black hole thermodynamics and 2D string theory are discussed and generalizations -supersymmetric extension, coupling to matter and critical collapse, quantization -are pointed out.

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Classical Solutions of 2-Dimensional String Theory

Cited by 525 publications

References 0 publications

Branes in the 2D black hole

Branes in the 2D black hole

Effective Action for Scalar Fields in Two-Dimensional Gravity

An action for the exact string black hole

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