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Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large $N$ limit of non-commutative gauge theories by considering gravity solutions with $B$ fields. We argue that the…

High Energy Physics - Theory · Physics 2009-10-31 Juan M. Maldacena , Jorge G. Russo

We introduce a critical string theory in two dimensions and demonstrate that this theory, viewed as two-dimensional quantum gravity on the worldsheet, is equivalent to a double-scaled matrix integral. The worldsheet theory consists of…

High Energy Physics - Theory · Physics 2024-02-28 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

It is known that Liouville theory can be represented as an SL(2,R) gauged WZW model. We study a two dimensional field theory which can be obtained by analytically continuing some of the variables in the SL(2,R) gauged WZW model. We can…

High Energy Physics - Theory · Physics 2009-10-22 Nobuyuki Ishibashi

Certain scattering amplitudes in the gravitational sector of type II string theory on K3 x T^2 are found to be computed by correlation functions of the N=4 topological string. This analysis extends the already known results for K3 by…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger , K. S. Narain

We reconsider the two-point string scattering amplitudes of massless Neveu-Schwarz--Neveu-Schwarz states of Type IIB orientifold superstring theory on the disk and projective plane in ten dimensions and analyse its $\alpha'$ expansion. We…

High Energy Physics - Theory · Physics 2020-12-02 Alice Aldi , Maurizio Firrotta

We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This…

High Energy Physics - Theory · Physics 2022-06-10 Gerben Oling , Ziqi Yan

We propose exact formulas for the 2- and 3-point functions of the WZNW model on the non-compact supergroup OSP(1|2). Using the path integral approach that was recently developed in arXiv:0706.1030 we show how local correlation functions in…

High Energy Physics - Theory · Physics 2008-11-26 Yasuaki Hikida , Volker Schomerus

We consider non-compact WZW models at critical level (equal to the dual Coxeter number) as tensionless limits of gravitational backgrounds in string theory. Special emphasis is placed on the Euclidean black hole coset SL(2,R)_k/U(1) when…

High Energy Physics - Theory · Physics 2015-06-26 I. Bakas , C. Sourdis

We study string propagation on $AdS_3$ times a compact space from an ``old fashioned'' worldsheet point of view of perturbative string theory. We derive the spacetime CFT and its Virasoro and current algebras, thus establishing the…

High Energy Physics - Theory · Physics 2008-11-26 A. Giveon , D. Kutasov , N. Seiberg

We consider the construction of tachyonic backgrounds in two-dimensional string theory, focusing on the Sine-Liouville background. This can be studied in two different ways, one within the context of collective field theory and the other…

High Energy Physics - Theory · Physics 2009-11-11 Sera Cremonini

We address the problem of computing the tachyon correlation functions in Liouville gravity with generic (non-rational) matter central charge c<1. We consider two variants of the theory. The first is the conventional one in which the…

High Energy Physics - Theory · Physics 2008-11-26 I. K. Kostov , V. B. Petkova

The possibility of extending the Liouville Conformal Field Theory from values of the central charge $c \geq 25$ to $c \leq 1$ has been debated for many years in condensed matter physics as well as in string theory. It was only recently…

Statistical Mechanics · Physics 2016-04-06 Yacine Ikhlef , Jesper Lykke Jacobsen , Hubert Saleur

We modify the $SL(2,{\bf R})/U(1)$ WZW theory, which was shown to describe strings in a 2D black hole, to be invariant under chiral $U(1)$ gauge symmetry by introducing a Steukelberg field. We impose several interesting gauge conditions for…

High Energy Physics - Theory · Physics 2015-06-26 Haruhiko Terao , Kiyonori Yamada

The SU(2) WZW model at large level N can be interpreted semiclassically as string theory on S^3 with N units of Neveu-Schwarz H-flux. While globally geometric, the model nevertheless exhibits an interesting doubled geometry possessing…

High Energy Physics - Theory · Physics 2015-05-28 Michael B. Schulz

We study the holographic principle of the two-point function in the case of a spinning string in the AdS/CFT correspondence. Following the general method proposed by Yoneya et al. for the bulk-boundary correspondence in the large $J$ limit,…

High Energy Physics - Theory · Physics 2008-11-26 Akihiro Tsuji

Liouville conformal field theory is a prototypical example of an exactly solvable quantum field theory, in the sense that the correlation functions in an arbitrary background can be determined exactly using only the constraints of unitarity…

High Energy Physics - Theory · Physics 2024-11-19 Nathan Benjamin , Scott Collier , Alexander Maloney , Viraj Meruliya

We develop a method for computing correlation functions of twist operators in the bosonic 2-d CFT arising from orbifolds M^N/S_N, where M is an arbitrary manifold. The path integral with twist operators is replaced by a path integral on a…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Samir D. Mathur

The $n+1$-dimensional Milne Universe with extra free directions is used to construct simple FRW cosmological string models in four dimensions, describing expansion in the presence of matter with $p=k \rho $, $k=(4-n)/3n$. We then consider…

High Energy Physics - Theory · Physics 2009-11-10 J. G. Russo

We provide a new general setting for scalar interacting fields on the covering of a d+1-dimensional AdS spacetime. The formalism is used at first to construct a one-paramater family of field theories, each living on a corresponding…

High Energy Physics - Theory · Physics 2007-05-23 M. Bertola , J. Bros , U. Moschella , R. Schaeffer