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We investigate (super) string theory on $AdS_3$ background based on an approach of free field realization. We demonstrate that this string theory can be reformulated as a string theory defined on a linear dilaton background along the…

High Energy Physics - Theory · Physics 2009-10-31 Yasuaki Hikida , Kazuo Hosomichi , Yuji Sugawara

Lorentzian continuation of the Sine-Liouville model describes non-homogeneous rolling closed string tachyon. Via T-duality, this relates to the gauged $H_+^3$ Wess-Zumino-Witten model at subcritical level. This model is exactly solvable. We…

High Energy Physics - Theory · Physics 2017-09-13 Gaston Giribet , Laura Rado

We define twistorial topological strings by considering tt* geometry of the 4d N=2 supersymmetric theories on the Nekrasov-Shatashvili half-Omega background, which leads to quantization of the associated hyperKahler geometries. We show that…

High Energy Physics - Theory · Physics 2014-12-17 Sergio Cecotti , Andrew Neitzke , Cumrun Vafa

String equations of the $p$-th generalized Kontsevich model and the compactified $c = 1$ string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized…

High Energy Physics - Theory · Physics 2009-10-28 Kanehisa Takasaki

We review some aspects of the non-perturbative formulation of 2-dim. string theory in terms of non-relativistic fermions. We derive the bosonization using $W_\infty$ coherent states in the path-integral formulation. We discuss the classical…

High Energy Physics - Theory · Physics 2007-05-23 Spenta R. Wadia

Matrix string theory is equivalent to type IIA superstring theory in the light-cone gauge, together with extra degrees of freedom representing D-brane states. It is therefore the appropriate framework in which to study systems of multiple…

High Energy Physics - Theory · Physics 2009-11-07 Dominic Brecher , Bert Janssen , Yolanda Lozano

The structure of spinning particle suggested by the rotating Kerr-Newman (black hole) solution, super-Kerr-Newman solution and the Kerr-Sen solution to low energy string theory is considered. Main peculiarities of the Kerr spinning particle…

High Energy Physics - Theory · Physics 2017-08-23 Alexander Burinskii

In this lecture notes we explain and discuss some ideas concerning noncommutative geometry in general, as well as noncommutative field theories and string field theories. We consider noncommutative quantum field theories emphasizing an…

High Energy Physics - Theory · Physics 2017-08-23 I. Ya. Aref'eva , D. M. Belov , A. A. Giryavets , A. S. Koshelev , P. B. Medvedev

A new class of integrable two-dimensional dilaton gravity theories, in which scalar matter fields satisfy the Toda equations, is proposed. The simplest case of the Toda system is considered in some detail, and on this example we outline how…

High Energy Physics - Theory · Physics 2008-03-31 A. T. Filippov

Following recent proposal of Dijkgraaf, Verlinde and Verlinde, we show that the M(atrix) theory compactified on $S_1/Z_2$ provides with a non-perturbative description of second-quantized light-cone heterotic string. This so-called heterotic…

High Energy Physics - Theory · Physics 2016-09-06 Soo-Jong Rey

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the…

High Energy Physics - Theory · Physics 2017-05-15 Linus Wulff

We carefully examine the Polyakov path integral for strings on $\text{AdS}_3$ in superspace, both for type II and heterotic superstrings. We construct a free-field realization of the supersymmetric $\text{SL}(2,\mathbb{R})$ WZW model which…

High Energy Physics - Theory · Physics 2026-03-20 Bob Knighton , Nathan McStay , Vit Sriprachyakul

Various studies have attempted to extend the Witten's cubic open string field theory to the cubic closed string field theory, which may describe Einstein gravity in the low energy sector consistently. In the present study we propose a cubic…

High Energy Physics - Theory · Physics 2022-01-25 Taejin Lee

In typical examples of the AdS/CFT correspondence, the world-sheet theory with holes in the presence of D-branes is assumed to be equivalent in a low-energy limit to a world-sheet theory without holes for a different background such as…

High Energy Physics - Theory · Physics 2020-07-01 Yuji Okawa

This article is the second chapter of a two-part series dedicated to the mathematical study of the higher-spin symmetry enjoyed by the $\mathfrak{sl}_3$ boundary Toda Conformal Field Theory. Namely, based on a probabilistic definition of…

Probability · Mathematics 2025-03-27 Baptiste Cerclé , Nathan Huguenin

We propose a two-dimensional superstring sigma model that defines a self-contained corner of heterotic string theory, whose second quantization is heterotic matrix string theory. This worldsheet theory arises from a BPS decoupling limit…

High Energy Physics - Theory · Physics 2025-08-27 Eric A. Bergshoeff , Kevin T. Grosvenor , Luca Romano , Ziqi Yan

We propose a dimensional regularization scheme in the light-cone gauge NSR superstring field theory to regularize the divergences caused by the colliding supercurrents inserted at the interaction points. We study the tree amplitudes and…

High Energy Physics - Theory · Physics 2015-05-13 Yutaka Baba , Nobuyuki Ishibashi , Koichi Murakami

In this paper, we construct the additional $W$-symmetry and ghost symmetry of two-lattice field integrable hierarchies. Using the symmetry constraint, we construct constrained two-lattice integrable systems which contain several new…

Exactly Solvable and Integrable Systems · Physics 2016-05-04 Chuanzhong Li

We study exact string backgrounds representing a constant magnetic field background in heterotic string theory. These backgrounds are obtained by Kaluza-Klein reduction of a special class of plane wave solutions. For small values of the…

High Energy Physics - Theory · Physics 2009-11-07 Justin R. David

The mass scale of fundamental strings can be as low as few TeV/c^2 provided that spacetime extends into large extra dimensions. We discuss the phenomenological aspects of weakly coupled low mass string theory related to experimental…

High Energy Physics - Theory · Physics 2008-11-26 Dieter Lust , Stephan Stieberger , Tomasz R. Taylor