Please use this identifier to cite or link to this item: https://doi.org/10.1088/0264-9381/13/12/008
Title: Multiple spin structures in higher-dimensional physics
Authors: McInnes, B. 
Issue Date: 1996
Citation: McInnes, B. (1996). Multiple spin structures in higher-dimensional physics. Classical and Quantum Gravity 13 (12) : 3175-3182. ScholarBank@NUS Repository. https://doi.org/10.1088/0264-9381/13/12/008
Abstract: On many Calabi-Yau manifolds there is no unique way to define spinor fields. We point out that, through the usual procedure of 'embedding the spin connection in the gauge algebra', this non-uniqueness can have major (and invariably unwelcome) consequences for the corresponding string theories. For example, topological effects can lead to ambiguities in the breaking of E8 and even to a loss of the supersymmetry that originally motivated consideration of Calabi-Yau manifolds themselves. We argue that, in string theory, attention should be concentrated on non-simply-connected Calabi-Yau manifolds which nevertheless have a unique spin structure, of which the Tian-Yau manifold is an example. © 1996 IOP Publishing Ltd.
Source Title: Classical and Quantum Gravity
URI: http://scholarbank.nus.edu.sg/handle/10635/103585
ISSN: 02649381
DOI: 10.1088/0264-9381/13/12/008
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