Dirac and Majorana spinors on non-orientable Riemann surfaces (Q1093170)
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scientific article; zbMATH DE number 4022059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirac and Majorana spinors on non-orientable Riemann surfaces |
scientific article; zbMATH DE number 4022059 |
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Dirac and Majorana spinors on non-orientable Riemann surfaces (English)
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1987
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It is known that Weyl spinors cannot be consistently defined on non- orientable manifolds. In the present note the authors prove that Dirac spinors may be defined on non-orientable Riemann surfaces, and that Majorana spinors cannot be defined on closed non-orientable Riemann surfaces having an odd Euler number. The latter result shows that a procedure in superstring theory proposed by \textit{A. M. Polyakov} [Phys. Lett. 103 B, 207-210 (1981); ibid., 211-213 (1981)] is inconsistent.
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Dirac spinors
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non-orientable Riemann surfaces
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Euler number
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superstring theory
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