Virasoro invariance and theory of internal string
- Department of Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)
Treating the Virasoro invariance of the string as an internal symmetry, we show how to construct gauge theories of the Virasoro group which could be interpreted as a theory of an internal string. To do this we first generalize the Kapalansky-Feigin-Fuks representation of the Virasoro algebra, and construct the invariant tensors which play the crucial role in gauge theories of the Virasoro group. Next we clarify the geometric meaning of the Kaplansky-Feigin-Fuks representation, and show that any five-dimensional field theory defined on the fiber bundle space made of the four-dimensional space-time and the internal string {ital S}{sup 1} which is invariant under the space-time-dependent reparametrization of the string can be interpreted as a gauge theory of the Virasoro group from the four-dimensional point of view. We discuss the two types of theories: one in which the space-time metric does not depend on the string coordinate and one in which the space-time metric does. In both cases we show that spontaneous symmetry breaking is possible. In the latter case we discuss how spontaneous symmetry breaking can generate an infinite tower of massive spin-two fields, and construct the massive spin-two fields explicitly. We argue that one of the gauge theories could provide a field-theoretic description of a real string, in the point limit of the string.
- OSTI ID:
- 7200525
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:8; ISSN PRVDA; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
COUPLING CONSTANTS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATION
HARMONIC OSCILLATOR MODELS
INVARIANCE PRINCIPLES
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
METRICS
PARTICLE MODELS
QUARK MODEL
SPACE-TIME
STRING MODELS
SYMMETRY BREAKING
TIME DEPENDENCE
UNIFIED-FIELD THEORIES