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  Hitchin's Equations and M-Theory Phenomenology

Pantev, T., & Wijnholt, M. (2011). Hitchin's Equations and M-Theory Phenomenology. Journal of Geometry and Physics, 61(7), 1223-1247. doi:10.1016/j.geomphys.2011.02.014.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6071-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-6073-D
Genre: Journal Article

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 Creators:
Pantev, Tony, Author
Wijnholt, Martijn1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Phenomenological compactifications of M-theory involve 7-manifolds with G_2 holonomy and various singularities. Here we study local geometries with such singularities, by thinking of them as compactifications of 7d supersymmetric Yang-Mills theory on a three-manifold Q_3. We give a general discussion of compactifications of 7d Yang-Mills theory in terms of Higgs bundles on Q_3. We show they can be constructed using spectral covers, which are Lagrangian branes with a flat connection in the cotangent bundle T^*Q_3. We explain the dictionary with ALE fibrations over Q_3 and conjecture that these configurations have G_2 holonomy. We further develop tools to study the low energy effective theory of such a model. We show that the naive massless spectrum is corrected by instanton effects. Taking the instanton effects into account, we find that the massless spectrum and many of the interactions can be computed with Morse theoretic methods.

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 Dates: 2011
 Publication Status: Published in print
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 Identifiers: eDoc: 430672
arXiv: 0905.1968
DOI: 10.1016/j.geomphys.2011.02.014
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Title: Journal of Geometry and Physics
Source Genre: Journal
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Publ. Info: Bologna : North-Holland
Pages: - Volume / Issue: 61 (7) Sequence Number: - Start / End Page: 1223 - 1247 Identifier: ISSN: 0393-0440
CoNE: /journals/resource/954925529904