M-Theory on Spin(7) Manifolds
Sergei Gukov, James Sparks
TL;DR
This paper explores M-theory compactifications on Spin(7) manifolds with conical singularities, constructing new examples and analyzing their topological and anomaly-related properties, revealing links between fluxes and gauge theories.
Contribution
It introduces a new class of Spin(7) manifolds and examines their topology and anomaly structure in M-theory compactifications.
Findings
Constructed explicit Spin(7) manifolds with conical singularities
Identified connections between G-fluxes and Chern-Simons terms
Analyzed anomaly interplay in M-theory, string theory, and gauge theory
Abstract
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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