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Related papers: Equivalent models for gauged WZW theory

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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

We discuss the properties of the Liouville theory coupled to the c=1 matter when perturbed by an operator, the screening operator of the $SL(2;R)$ current algebra, which is supposed to generate the mass of the two-dimensional black hole.…

High Energy Physics - Theory · Physics 2009-10-22 Tohru Eguchi

We consider the gauging of $ SL(2,R) $ WZNW model by its nilpotent subgroup E(1). The resulting space-time of the corresponding sigma model is seen to collapse to a one dimensional field theory of Liouville. Gauging the diagonal subgroup $…

High Energy Physics - Theory · Physics 2009-10-22 M. Alimohammadi , F. Ardalan , H. Arfaei

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 have shown that two of the most studied models of lineal gravities - Liouville gravity and a ``string-inspired'' model exhibiting the main characteristic features of a black-hole solution - can be formulated as gauge invariant theories…

General Relativity and Quantum Cosmology · Physics 2009-10-22 G. Grignani , G. Nardelli

We construct new heterotic string backgrounds which are analogous to superstring solutions corresponding to coset models but are not simply the `embeddings'of the latter. They are described by the (1,0) supersymmetric extension of the $G/H$…

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

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

We study the $SL(2;R)/U(1)$ coset model of two-dimensional black hole and its relation to the Liouville theory coupled to c=1 matter. We uncover a basic isomorphism in the algebraic structures of these theories and show that the black hole…

High Energy Physics - Theory · Physics 2011-04-20 T. Eguchi , H. Kanno , S. -K. Yang

It is shown that the asymmetric chiral gauging of the WZW models give rise to consistent string backgrounds. The target space structure of the ${[{SL(2,\Re)/ {SO(1,1)}}]}_L \bigotimes {[{SL(2,\Re)/U(1)}]}_R$ model is analyzed and the…

High Energy Physics - Theory · Physics 2007-05-23 Supriya Kar , Alok Kumar , Gautam Sengupta

The gauged SL(2,R)/U(1) Wess-Zumino-Novikov-Witten (WZNW) model is classically an integrable conformal field theory. We have found a Lax pair representation for the non-linear equations of motion, and a B"acklund transformation. A…

High Energy Physics - Theory · Physics 2009-10-30 Uwe Müller , Gerhard Weigt

We consider the volume of the gauge orbit space for gauge fields on four-dimensional complex projective space. The analysis uses a parametrization of gauge fields where gauge transformations act homogeneously on the fields, facilitating a…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

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

Free field representations of vertex algebra in SL(2,R)/U(1) x U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These…

High Energy Physics - Theory · Physics 2010-02-03 Gaston Giribet , Daniel Lopez-Fogliani

\small The SL$(2,R)/U(1)$ coset model, with $U(1)$ an element of the third conjugacy class of $SL(2,R)$ subgroups, is considered. The resulting theory is seen to collapse to a one dimensional field theory of Liouville. Then the 2…

High Energy Physics - Theory · Physics 2007-05-23 Farhad Ardalan

We embed second class constrained systems by a formalism that combines concepts of the BFFT method and the unfixing gauge formalism. As a result, we obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ) field is…

High Energy Physics - Theory · Physics 2009-11-10 Jorge Ananias Neto

The canonical quantization of the WZNW model provides a complete set of exchange relations in the enlarged chiral state spaces that include the Gauss components of the monodromy matrices. Regarded as new dynamical variables, the elements of…

High Energy Physics - Theory · Physics 2011-04-15 Paolo Furlan , Ludmil K. Hadjiivanov , Ivan T. Todorov

Using cohomological methods we discuss several issues related to chiral anomalies in noncommutative U(N) YM theories in any even dimension. We show that for each dimension there is only one solution of the WZ consistency condition and that…

High Energy Physics - Theory · Physics 2009-11-07 L. Bonora , A. Sorin

We present a non-relativistic fermionic field theory in 2-dimensions coupled to external gauge fields. The singlet sector of the $c=1$ matrix model corresponds to a specific external gauge field. The gauge theory is one-dimensional (time)…

High Energy Physics - Theory · Physics 2015-06-26 Sumit R. Das , Avinash Dhar , Gautam Mandal , Spenta R. Wadia

A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

String backgrounds associated with gauged $G/H$ WZNW models in general depend non-trivially on $\alpha'$. We note, however, that there exists a local covariant $\a'$-dependent field redefinition that relates the exact metric-dilaton…

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