Exact effective action and spacetime geometry in gauged WZW models

Journal Article · Thu Jul 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.844· OSTI ID:6427019

Bars, I; Sfetsos, K ^[1]

---

1. Physics Department, University of Southern California, Los Angeles, California 90089-0484 (United States)

We present an effective quantum action for the gauged WZW model [ital G][sub [minus][ital k]]/[ital H][sub [minus][ital k]]. It is conjectured that it is valid to all orders of the central extension ([minus][ital k]) on the basis that it reproduces the exact spacetime geometry of the zero modes that was previously derived in the algebraic Hamiltonian formalism. In addition to 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 nonzero at higher orders of 1/[ital k] even if it vanishes at large [ital 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,[ital openR])[direct product]SO(1,1)[sup [ital d][minus]2]/SO(1,1). The simplest case SL(2,[ital openR])/[ital openR] corresponds to a limit.

• DOE Contract Number: FG03-84ER40168
• OSTI ID: 6427019
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AXIONS
BOSONS
CONFORMAL INVARIANCE
COSMOLOGICAL MODELS
ELEMENTARY PARTICLES
GAUGE INVARIANCE
GLOBAL ANALYSIS
GOLDSTONE BOSONS
HAMILTONIANS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
POSTULATED PARTICLES
QUANTUM OPERATORS
SL GROUPS
SO GROUPS
SPACE-TIME
SYMMETRY GROUPS