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Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories

Sfetsos, K and Tseytlin, AA (1993) Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories Phys.Rev.D, 49. pp. 2933-2956.

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Abstract

String backgrounds associated with gauged $G/H$ WZNW models generically depend on $\alpha'$ or $1/k$. The exact expressions for the corresponding metric $G_{\m\n}$, antisymmetric tensor $B_{\m\n}$, and dilaton $\phi$ can be obtained by eliminating the $2d$ gauge field from the local part of the effective action of the gauged WZNW model. We show that there exists a manifestly gauge-invariant prescription for the derivation of the antisymmetric tensor coupling. When the subgroup $H$ is one-dimensional and $G$ is simple the antisymmetric tensor is given by the semiclassical ($\alpha'$-independent) expression. We consider in detail the simplest non-trivial example with non-trivial $B_{\m\n}$ -- the D=3 sigma model corresponding to the $[SL(2,R) x R]/R$ gauged WZNW theory (`charged black string') and show that the exact expressions for $G_{\m\n}$, $B_{\m\n}$ and $\phi$ solve the Weyl invariance conditions in the two-loop approximation. Similar conclusion is reached for the closely related $SL(2,R)/R$ chiral gauged WZNW model. We find that there exists a scheme in which the semiclassical background is also a solution of the two-loop conformal invariance equations (but the tachyon equation takes a non-canonical form). We discuss in detail the role of field redefinitions (scheme dependence) in establishing a correspondence between the sigma model and conformal field theory results.

Item Type: Article
Authors :
NameEmailORCID
Sfetsos, Kk.sfetsos@surrey.ac.ukUNSPECIFIED
Tseytlin, AAUNSPECIFIEDUNSPECIFIED
Date : 23 October 1993
Identification Number : 10.1103/PhysRevD.49.2933
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 17 May 2017 12:27
URI: http://epubs.surrey.ac.uk/id/eprint/835380

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