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Related papers: c < 1 String from Two Dimensional Black Holes

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In this paper we discuss the scattering S-matrix of non-critical N=2 string at tree level. First we consider the \hat{c}<1 string defined by combining the N=2 time-like linear dilaton SCFT with the N=2 Liouville theory. We compute three…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

We study the relation between the $SL(2,R)/U(1)$ black hole and the $c=1$ Liouville theory. A deformation, which interpolates the BRST operators of both models, is explicitly constructed. This interpolation is isomorphic, and the physical…

High Energy Physics - Theory · Physics 2009-10-22 Hiroshi Ishikawa , Mitsuhiro Kato

We review the recently proposed string theory in two dimensional black hole background. Especially, the structure of the duality in the target space is discussed. The duality is analogous to \lq\lq $R \rightarrow 1/R$" symmetry of a…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri

We study the perturbative $S$-matrix of the $c=1$ string and show that it admits a description in terms of a double-scaled (0+0)-dimensional matrix integral based on the spectral curve $\mathsf{x}(z) = 2\sqrt{2}\cos(z)$,…

High Energy Physics - Theory · Physics 2026-05-27 Scott Collier , Lorenz Eberhardt , Victor A. Rodriguez

It has been argued by Ishikawa and Kato that by making use of a specific bosonization, $c_M=1$ string theory can be regarded as a constrained topological sigma model. We generalize their construction for any $(p,q)$ minimal model coupled to…

High Energy Physics - Theory · Physics 2011-07-19 Pablo M. Llatas , Shibaji Roy

We analyze topological string theory on a two dimensional torus, focusing on symmetries in the matter sector. Even before coupling to gravity, the topological torus has an infinite number of point-like physical observables, which give rise…

High Energy Physics - Theory · Physics 2009-10-22 Petr Horava

We count the number of bound states of BPS black holes on local Calabi-Yau three-folds involving a Riemann surface of genus g. We show that the corresponding gauge theory on the brane reduces to a q-deformed Yang-Mills theory on the Riemann…

High Energy Physics - Theory · Physics 2009-09-17 Mina Aganagic , Hirosi Ooguri , Natalia Saulina , Cumrun Vafa

We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-hermitian `Hamiltonian' and show, using mostly analytical techniques, that it is described at low energies by the SL(2,R)/U(1) Euclidian…

High Energy Physics - Theory · Physics 2015-05-30 Yacine Ikhlef , Jesper Lykke Jacobsen , Hubert Saleur

In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the…

High Energy Physics - Theory · Physics 2015-06-26 Dieter Lust

We study the semi-classical limit of the reflection coefficient for the SL(2,R)_k/U(1) CFT. For large k, the CFT describes a string in a Euclidean black hole of 2-dimensional dilaton-gravity, whose target space is a cigar with an…

High Energy Physics - Theory · Physics 2022-01-05 Daniel Louis Jafferis , Elliot Schneider

This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and the W-infinity model, which have different…

High Energy Physics - Theory · Physics 2007-05-23 Sunil Mukhi

We propose an equivalence between topological string on OSP(1|2)/U(1) and \hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this by employing a free field representation of OSP(1|2) WZNW model and find an agreement…

High Energy Physics - Theory · Physics 2009-10-02 Gaston Giribet , Yasuaki Hikida , Tadashi Takayanagi

Global U(1) strings with cylindrical symmetry are studied in anti-de Sitter spacetime. According as the magnitude of negative cosmological constant, they form regular global cosmic strings, extremal black cosmic strings and charged black…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nakwoo Kim , Yoonbai Kim , Kyoungtae Kimm

We study non-supersymmetric, extremal 4 dimensional black holes which arise upon compactification of type II superstrings on Calabi-Yau threefolds. We propose a generalization of the OSV conjecture for higher derivative corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Kirill Saraikin , Cumrun Vafa

We study string theory in the background of a two-dimensional black hole which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics…

High Energy Physics - Theory · Physics 2009-10-22 Dileep P. Jatkar

The string propagation in the two-dimensional stringy black-hole is investigated from a new approach. We completely solve the classical and quantum string dynamics in the lorentzian and euclidean regimes. In the lorentzian case all the…

High Energy Physics - Theory · Physics 2009-10-22 H. J. de Vega , J. Ramírez Mittelbrun , M. Ramón Medrano , N. Sánchez

The $SL(2,R)/U(1)$ gauged WZWN model is modified by a topological term and the accompanying change in the geometry of the two dimensional target space is determined. The possibility of this additional term arises from a symmetry in the…

High Energy Physics - Theory · Physics 2009-10-22 N. Mohammedi

The microscopic origin of black hole entropy remains one of the more intriguing open questions in theoretical physics. A subplot in this drama is the renowned Cardy-Verlinde formula, which uses two-dimensional conformal formalism to explain…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

We analyse in detail the $SL(2,R)$ black hole by extending standard techniques of Kac-Moody current algebra to the non-compact case. We construct the elements of the ground ring and exhibit W-infinity type structure in the fusion algebra of…

High Energy Physics - Theory · Physics 2009-10-22 Shyamoli Chaudhuri , Joseph D. Lykken