Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
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Bars, I and Sfetsos, K (1992) Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime Phys. Rev. D, 46.
Full text not available from this repository.Abstract
Using a Hamiltonian approach to gauged WZW models, we present a general method for computing the conformally exact metric and dilaton, to all orders in the $1/k$ expansion, for any bosonic, heterotic, or type-II superstring model based on a coset $G/H$. We prove the following relations: (i) For type-II superstrings the conformally exact metric and dilaton are identical to those of the non-supersymmetric {\it semi-classical} bosonic model except for an overall renormalization of the metric obtained by $k\to k- g$. (ii) The exact expressions for the heterotic superstring are derived from their exact bosonic string counterparts by shifting the central extension $k\to 2k-h$ (but an overall factor $(k-g)$ remains unshifted). (iii) The combination $e^\Phi\sqrt{-G}$ is independent of $k$ and therefore can be computed in lowest order perturbation theory as required by the correct formulation of a conformally invariant path integral measure. The general formalism is applied to the coset models $SO(d-1,2)_{-k}/SO(d-1,1)_{-k}$ that are relevant for string theory on curved spacetime. Explicit expressions for the conformally exact metric and dilaton for the cases $d=2,3,4$ are given. In the semiclassical limit $(k\to \infty)$ our results agree with those obtained with the Lagrangian method up to 1-loop in perturbation theory.
| Item Type: | Article | |||||||||
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| Divisions : | Surrey research (other units) | |||||||||
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| Date : | 2 June 1992 | |||||||||
| DOI : | 10.1103/PhysRevD.46.4510 | |||||||||
| Uncontrolled Keywords : | hep-th, hep-th | |||||||||
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| Depositing User : | Symplectic Elements | |||||||||
| Date Deposited : | 17 May 2017 12:27 | |||||||||
| Last Modified : | 24 Jan 2020 22:16 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/835374 |
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