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  Higgs Bundles and UV Completion in F-Theory

Donagi, R., & Wijnholt, M. (2014). Higgs Bundles and UV Completion in F-Theory. Communications in Mathematical Physics, 326(2), 287-327. doi:10.1007/s00220-013-1878-8.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-606B-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-50E5-3
Genre: Journal Article

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 Creators:
Donagi, Ron, 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: F-theory admits 7-branes with exceptional gauge symmetries, which can be compactified to give phenomenological four-dimensional GUT models. Here we study general supersymmetric compactifications of eight-dimensional Yang-Mills theory. They are mathematically described by meromorphic Higgs bundles, and therefore admit a spectral cover description. This allows us to give a rigorous and intrinsic construction of local models in F-theory. We use our results to prove a no-go theorem showing that local SU(5) models with three generations do not exist for generic moduli. However we show that three-generation models do exist on the Noether-Lefschetz locus. We explain how F-theory models can be mapped to non-perturbative orientifold models using a scaling limit proposed by Sen. Further we address the construction of global models that do not have heterotic duals. We show how one may obtain a contractible worldvolume with a two-cycle not inherited from the bulk, a necessary condition for implementing GUT breaking using fluxes. We also show that the complex structure moduli in global models can be arranged so that no dimension four or five proton decay can be generated.

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 Dates: 2014
 Publication Status: Published in print
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 Identifiers: eDoc: 429244
arXiv: 0904.1218
URI: http://arxiv.org/abs/0904.1218
DOI: 10.1007/s00220-013-1878-8
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 326 (2) Sequence Number: - Start / End Page: 287 - 327 Identifier: -