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A WZW model for the non-semi-simple D-dimensional Heisenberg group, which directly generalizes the E_{2}^{c} group, is constructed. It is found to correspond to an D-dimensional string background of plane-wave type with physical Lorentz…

High Energy Physics - Theory · Physics 2009-12-04 A. A. Kehagias , P. A. A. Meessen

We consider gauged WZW models based on a four dimensional non-semi-simple group. We obtain conformal $\s$-models in $D=3$ spacetime dimensions (with exact central charge $c=3$) by axially and vectorially gauging a one-dimensional subgroup.…

High Energy Physics - Theory · Physics 2009-10-22 Konstadinos Sfetsos

We review known exact classical solutions in (bosonic) string theory. The main classes of solutions are `cosets' (gauged WZW models), `plane wave'-type backgrounds (admitting a covariantly constant null Killing vector) and `$F$-models'…

High Energy Physics - Theory · Physics 2008-02-03 A. A. Tseytlin

We review explicitly known exact $D=4$ solutions with Minkowski signature in closed bosonic string theory. Classical string solutions with space-time interpretation are represented by conformal sigma models. Two large (intersecting) classes…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Tseytlin

We suggest how to derive the exact (all order in $\a'$) expressions for the background fields for string solutions corresponding to gauged WZW models directly at the $2d$ field theory level. One is first to replace the classical gauged WZW…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We discuss two classes of exact (in $\a'$) string solutions described by conformal sigma models. They can be viewed as two possibilities of constructing a conformal model out of the non-conformal one based on the metric of a $D$-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

We construct a new class of exact string solutions with a four dimensional target space metric of signature ($-,+,+,+$) by gauging the independent left and right nilpotent subgroups with `null' generators of WZNW models for rank 2…

High Energy Physics - Theory · Physics 2009-09-17 C. Klimcik , A. A. Tseytlin

We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries…

High Energy Physics - Theory · Physics 2009-09-17 C. Klimcik , A. A. Tseytlin

Within the framework of "anomalously gauged" Wess-Zumino-Witten (WZW) models, we construct solutions which include nonabelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of…

High Energy Physics - Theory · Physics 2015-06-26 M. Z. Iofa , and L. A. Pando Zayas

A class of string backgrounds associated with non semi-simple groups is obtained as a special large level limit of ordinary WZW models. The models have an integer Virasoro central charge and they include the background recently studied by…

High Energy Physics - Theory · Physics 2019-08-15 D. I. Olive , E. Rabinovici , A. Schwimmer

We consider an extension of a special class of conformal sigma models (`chiral null models') which describe extreme supersymmetric string solutions. The new models contain both `left' and `right' vector couplings and should correspond to…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

In this lecture I summarize recent developments on strings propagating in curved spacetime. Exact conformal field theories that describe gravitational backgrounds such as black holes and more intricate gravitational singularities have been…

High Energy Physics - Theory · Physics 2008-02-03 Itzhak Bars

We study the WZW model based on the centrally extended 2D de Sitter algebra. We obtain the spacetime metric and its explicitly conformally flat expression. The symmetries of the spacetime are found by identifying the Killing vectors with…

High Energy Physics - Theory · Physics 2008-02-03 Hai Ren

Using the algebraic Hamiltonian approach, we derive the exact to all orders O(d,d) transformations of the metric and the dilaton field in WZW and WZW coset models for both compact and non-compact groups. It is shown that under the exact…

High Energy Physics - Theory · Physics 2009-10-22 David Gershon

We discuss the string theory on AdS_3. In the first half of this talk, we review the SL(2,R) and the SL(2,C)/SU(2) WZW models which describe the strings on the Lorentzian and Euclidean AdS_3 without RR backgrounds, respectively. An emphasis…

High Energy Physics - Theory · Physics 2007-05-23 Yuji Satoh

We construct two new classes of exact solutions to string theory which are not of the standard plane wave or gauged WZW type. Many of these solutions have curvature singularities. The first class includes the fundamental string solution,…

High Energy Physics - Theory · Physics 2009-09-17 G. T. Horowitz , A. A. Tseytlin

We formulate matrix string models on a class of exact string backgrounds with non constant RR-flux parameterized by a holomorphic prepotential function and with manifest (2,2) supersymmetry. This lifts these string theories to M-theory…

High Energy Physics - Theory · Physics 2009-11-07 G. Bonelli

An exact conformal field theory describing a four dimensional singular string background is obtained by chiral gauging a $U(1)$ subgroup along with translations in $R$ of an $SL(2,R)\times R$ Wess-Zumino-Witten model. It is shown that the…

High Energy Physics - Theory · Physics 2009-10-22 Supriya K. Kar , S. Pratik Khastgir , Gautam Sengupta

We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar\'e algebra. The central charge of this theory is…

High Energy Physics - Theory · Physics 2010-04-07 C. R. Nappi , E. Witten

A powerful approach to the celebrated Wess-Zumino-Witten (WZW) model is provided by its free-field realization. However, explicit calculations of conformal blocks are not described in the literature in full detail. We begin this study with…

High Energy Physics - Theory · Physics 2025-12-02 Alexei Morozov , Hasib Sifat
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