New gravitational instantons and universal spin structures |
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Authors: | Allen Back Peter GO Freund Michael Forger |
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Institution: | The University of Chicago, Chicago, IL 60637, USA;Freie Universität Berlin, Berlin, Germany |
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Abstract: | An infinite class of new gravitational instantons for the axial anomaly is found. It consists entirely of algebraic spin- manifolds. In theories that allow manifolds without ordinary spin structure we find the presence of spinorial matter fields to require the existence of a “universal” gauged SU(2) or higher internal symmetry (e.g., SU(2) × SU(2) × G) and of an “internal-spin” -statistics connection. The possible relation of this to the gauge theory of weak and electromagnetic interactions is explored. |
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