M-Theory on Spin(7) Manifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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81 pages; minor corrections/clarifications, references added

Scientific paper

10.1016/S0550-3213(02)00018-4

We study M-theory on two classes of manifolds of Spin(7) holonomy that are developing an isolated conical singularity. We construct explicitly a new class of Spin(7) manifolds and analyse in detail the topology of the corresponding classical spacetimes. We discover also an intricate interplay between various anomalies in M-theory, string theory, and gauge theory within these models, and in particular find a connection between half-integral G-fluxes in M-theory and Chern-Simons terms of the N=1, D=3 effective theory.

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