Published May 16, 1991
| Version v1
Journal article
Dynamics on the Virasoro group, 2D gravity and hidden symmetries
- 1. Centro Mixto Valencia Univ./CSIC, Valencia (Spain). Inst. de Fisica Corpuscular
- 2. Granada Univ. (Spain). Dept. de Fisica Teorica y del Cosmos
- 3. Imperial Coll. of Science and Technology, London (UK). Blackett Lab.
- 4. Valencia Univ. (Spain). Dept. de Fisica Teorica
Description
We derive the action of 2D gravity from the two-cocycle of the Virasoro group by using a previously introduced method for constructing a dynamical system from a Lie group. A natural construction and explanation of the hidden SL (2, R)-Kac-Moody symmetry, of general applicability, is provided. We also show how the proper quantization goes beyond the ordinary co-adjoint orbit method, and the possible connection with the Poisson-Lie groups. (orig.)
Additional details
Publishing Information
- Journal Title
- Physics Letters, (Section) B
- Journal Volume
- 260
- Journal Issue
- 3/4
- Series
- Phys. Lett., B.
- Journal Page Range
- 311-316
- ISSN
- 0370-2693
- CODEN
- PYLBA
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 22073678
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACTION INTEGRAL; ALGEBRAIC CURRENTS; ANALYTICAL SOLUTION; CONFORMAL GROUPS; FIELD EQUATIONS; FUNCTIONALS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; QUANTUM GRAVITY; SECOND QUANTIZATION; SL GROUPS; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CURRENTS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INTEGRALS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTIZATION; QUANTUM FIELD THEORY; SYMMETRY GROUPS