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Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime

Bars, I and Sfetsos, K (1992) Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime Phys. Rev. D, 46.

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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
Divisions : Surrey research (other units)
Authors :
Bars, I
Date : 2 June 1992
DOI : 10.1103/PhysRevD.46.4510
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 24 Jan 2020 22:16

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