Published February 27, 1986
| Version v1
Journal article
The geometry of duality
Creators
- 1. King's Coll., London (UK). Dept. of Mathematics
- 2. State Univ. of New York, Stony Brook (USA). Inst. for Theoretical Physics
Description
We show that supersymmetric nonlinear sigma-model dynamics can be described by off-shell linear multiplets only on manifolds with isometries and identify the linear multiplets as Killing potentials for these symmetries. Possible obstructions to the construction of covariant Killing potentials may imply a clash between supersymmetry and the isometries of the manifold. When the linear multiplets are on-shell, we find that the isometries commute and that the duality is via the usual Legendre transform construction. (orig.)
Additional details
Publishing Information
- Journal Title
- Phys. Lett., B
- Journal Volume
- 168
- Journal Issue
- 1/2
- Series
- Phys. Lett., B.
- Journal Page Range
- 89-92
- ISSN
- 0370-2693
- CODEN
- PYLBA
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 17037465
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CANONICAL TRANSFORMATIONS; COMMUTATION RELATIONS; DIFFERENTIAL GEOMETRY; DUALITY; METRICS; MULTIPLETS; NONLINEAR PROBLEMS; POTENTIALS; RIEMANN SPACE; SIGMA MODEL; SMOOTH MANIFOLDS; SUPERSYMMETRY
- Descriptors DEC
- BOSON-EXCHANGE MODELS; GEOMETRY; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATHEMATICS; PARTICLE MODELS; PERIPHERAL MODELS; SPACE; SYMMETRY; TRANSFORMATIONS
Optional Information
- Contract/Grant/Project number
- Grant PHY85-07627