Superstrings with Torsion
Jun 8, 198632 pages
Published in:
- Nucl.Phys.B 274 (1986) 253
- Published: 1986
Report number:
- NSF-ITP-86-16
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Abstract: (Elsevier)
The conditions for spacetime supersymmetry of the heterotic superstring in backgrounds with arbitrary metric, torsion, Yang-Mills and dilaton expectation values are determined using the sigma model approach. The resulting equations are explicitly solved for the torsion and dilaton fields, and the remaining equations cast in a simple form. Previously unnoticed topological obstructions to solving these equations are found. The equations are shown to agree to leading order in perturbation theory with those derived in a field theory approach, provided one considers a more general ansatz than in previous analyses by allowing for a warp factor for the metric. Exact solutions with non-zero torsion are found, indicating a new class of finite sigma models. These solutions break the E χ ⊗ E χ or SO(32) gauge group down to a large variety of subgroups. Orbifolds with torsion are constructed. A perturbative analysis of the equations indicates a class of solutions whose existence has been recently argued for on other grounds. Brief comments are made on the implications for phenomenology.- MODEL: STRING
- SUPERSYMMETRY
- GAUGE FIELD THEORY: E(8) X E(8)
- GAUGE FIELD THEORY: SO(32)
- FIELD THEORY: HIGHER-DIMENSIONAL
- FIELD THEORY: VACUUM STATE
- FIELD THEORY: TORSION
- FIELD EQUATIONS: SOLUTION
- PERTURBATION THEORY
- FIELD THEORETICAL MODEL: SIGMA
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