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arXiv · 1307.5858

Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds

Federico Bonetti·Thomas W. Grimm·Tom G. Pugh
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Abstract

We propose a novel approach to obtain non-supersymmetric four-dimensional effective actions by considering F-theory on manifolds with special holonomy Spin(7). To perform such studies we suggest that a duality relating M-theory on a certain class of Spin(7) manifolds with F-theory on the same manifolds times an interval exists. The Spin(7) geometries under consideration are constructed as quotients of elliptically fibered Calabi-Yau fourfolds by an anti-holomorphic and isometric involution. The three-dimensional minimally supersymmetric effective action of M-theory on a general Spin(7) manifold with fluxes is determined and specialized to the aforementioned geometries. This effective theory is compared with an interval Kaluza-Klein reduction of a non-supersymmetric four-dimensional theory with definite boundary conditions for all fields. Using this strategy a minimal set of couplings of the four-dimensional low-energy effective actions is obtained in terms of the Spin(7) geometric data. We also discuss briefly the string interpretation in the Type IIB weak coupling limit.

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Federico Bonetti, Thomas W. Grimm, Tom G. Pugh. 2013-07-29. Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds. https://doi.org/10.1007/jhep01(2014)112

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