Nowhere Vanishing Spinors and Topological Obstructions to the Equivalence of the Nsr and Gs Superstrings
Jul, 198725 pages
Published in:
- Class.Quant.Grav. 5 (1988) 257
Report number:
- Imperial/TP/86-87/28
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Abstract: (IOP)
Constructing an equivalence of the NSR and GS superstring formalisms in a general spacetime background involves relating the 8V, and 8S representations with the aid of a nowhere-vanishing Majorana-Weyl spinor on the eight-dimensional transverse space. The authors discuss the possibility of a global obstruction to the existence of such spinor fields and show that a necessary and sufficient condition for this to be absent is the vanishing of a certain linear combination of the characteristic classes of the spacetime.- MODEL: STRING
- SUPERSYMMETRY
- FIELD THEORY: SPACE-TIME
- FIELD THEORY: BACKGROUND FIELD
- FIELD THEORY: TWO-DIMENSIONAL
- GROUP THEORY: SPINOR
- SPINOR: GROUP THEORY
- MATHEMATICAL METHODS: TOPOLOGICAL
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