Exact Effective Action and Spacetime Geometry in Gauged WZW Models

Details Exact Effective Action and Spacetime Geometry in Gauged WZW Models Exact Effective Action and Spacetime Geometry in Gauged WZW Models

1993-01-13

arxiv.org/abs/hep-th/9301047v3

Phys.Rev. D48 (1993) 844-852

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, harvmac, USC-93/HEP-B1, (The exact general expression for the dilaton is added in Sec.5)

Scientific paper

10.1103/PhysRevD.48.844

We present an effective quantum action for the gauged WZW model $G_{-k}/H_{-k}$. It is conjectured that it is valid to all orders of the central extension $(-k)$ on the basis that it reproduces the exact spacetime geometry of the zero modes that was previously derived in the algebraic Hamiltonian formalism. Besides the metric and dilaton, the new results that follow from this approach include the exact axion field and the solution of the geodesics in the exact geometry. It is found that the axion field is generally non-zero at higher orders of $1/k$ even if it vanishes at large $k$. We work out the details in two specific coset models, one non-abelian, i.e. $SO(2,2)/SO(2,1)$ and one abelian, i.e $SL(2,\IR)\otimes SO(1,1)^{d-2}/SO(1,1)$. The simplest case $SL(2,\IR)/\IR$ corresponds to a limit.

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