Published May 30, 1988
| Version v1
Journal article
Conformal invariance, the KdV equation and coadjoint orbits of the Virasoro algebra
Description
We use the transformation properties of the energy-momentum tensor of 2-dimensional conformal field theories to study the symplectic geometry of Diff S1/S1 together with the other coadjoint orbits of the Virasoro algebra in the space of quadratic differentials. Also, we examine orbits of the N=1 and N=2 super-Virasoro algebras and investigate the connections with nonlinear differential equations of KdV type. The importance that the dual of the Virasoro algebra may have in the geometric formulation of string theory is discussed as well. (orig.)
Additional details
Publishing Information
- Journal Title
- Nucl. Phys. B, Part. Phys.
- Journal Volume
- 302
- Journal Issue
- 2
- Series
- Nucl. Phys. B, Part. Phys.
- Journal Page Range
- 189-203
- ISSN
- 0550-3213
- CODEN
- NUPBB
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 19069690
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; CONFORMAL INVARIANCE; DIFFERENTIAL CALCULUS; DIFFERENTIAL GEOMETRY; DUALITY; ENERGY-MOMENTUM TENSOR; FIELD ALGEBRA; GRADED LIE GROUPS; IRREDUCIBLE REPRESENTATIONS; KORTEWEG-DE VRIES EQUATION; ORBITS; RIEMANN SPACE; SMOOTH MANIFOLDS; SP GROUPS; STRING MODELS; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS; VECTOR FIELDS
- Descriptors DEC
- AXIOMATIC FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; EXTENDED PARTICLE MODEL; FIELD THEORIES; GEOMETRY; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; SPACE; SYMMETRY; SYMMETRY GROUPS; TENSORS
Optional Information
- Contract/Grant/Project number
- Grant PHY-84-04931; DE-FG05-80ET53088