The superstring, DiffS/sup 1//S/sup 1/, and holomorphic geometry
We incorporate superstrings into the non-perturbative formulation of string field theories based on Kahler geometry recently proposed by Bowick and Rajeev. The string field is conjectured to be the Kahler potential of loop space, its equation of motion given by the vanishing of the curvature of a product bundle constructed over a graded DiffS/sup 1//S/sup 1/, as required for reparametrization invariance of the theory. We find that bosonic and fermionic loops in a Minkowski background solve the equation for the Kahler potential only in ten dimensions. We use geometric quantization techniques to calculate the curvature of the superholomorphic vector bundle, since they emphasize the role of the complex geometry, and flag manifold techniques to calculate the curvature of the line bundle over SuperDiffS/sup 1//S/sup 1/.
- Research Organization:
- Florida Univ., Gainesville (USA). Dept. of Physics
- DOE Contract Number:
- FG05-86ER40272
- OSTI ID:
- 6463087
- Report Number(s):
- DOE/ER/40272-38; UFTP-87-10; ON: DE87011206
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EXTENDED PARTICLE MODEL
FERMIONS
GEOMETRY
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTIZATION
QUARK MODEL
RICCI TENSOR
STRING MODELS
TENSORS