Conformally exact metric and dilaton in string theory on curved spacetime

Journal Article · Sat Nov 14 23:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.4510· OSTI ID:6950132

Bars, I; Sfetsos, K ^[1]

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

Using a Hamiltonian approach to gauged Wess-Zumino-Witten models, we present a general method for computing the conformally exact metric and dilaton, to all orders in the 1/{ital k} expansion, for any bosonic, heterotic, or type-II superstring model based on a coset {ital G}/{ital H}. We prove the following relations: (i) For type-II superstrings the conformally exact metric and dilaton are identical to those of the nonsupersymmetric {ital semiclassical} bosonic model except for an overall renormalization of the metric obtained by {ital k}{r arrow}{ital k}{minus}{ital g}. (ii) The exact expressions for the heterotic superstring are derived from their exact bosonic string counterparts by shifting the central extension {ital k}{r arrow}2{ital k}{minus}{ital h} (but an overall factor ({ital k}{minus}{ital g}) remains unshifted). (iii) The combination {ital e}{sup {Phi}} {radical}{minus}{ital G} is independent of {ital k} and therefore can be computed in/p lowest-order perturbation theory. The general formalism is applied to the coset models SO({ital d}{minus}1,2){sub {minus}{ital k}}/SO({ital d}{minus}1,1){sub {minus}{ital k}} that are relevant for string theory on curved spacetime. Explicit expressions for the conformally exact metric and dilaton for the cases {ital d}=2,3,4 are given. In the semiclassical limit ({ital k}{r arrow}{infinity}) our results agree with those obtained with the Lagrangian method up to one loop in perturbation theory.

• DOE Contract Number: FG03-84ER40168
• OSTI ID: 6950132
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
BOSONS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
METRICS
PARTICLE MODELS
PERIPHERAL MODELS
PERTURBATION THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
QUARK MODEL
RENORMALIZATION
SEMICLASSICAL APPROXIMATION
SIGMA MODEL
SO GROUPS
SPACE-TIME
STRING MODELS
SYMMETRY GROUPS
UNIVERSE