Non-Abelian discrete gauge symmetries in 4d string models
By M. Berasaluce-González, P. G. Cámara, F. Marchesano, D. Regalado, A. Uranga. Journal of High Energy Physics, 2012
145 citations recorded by the source corpus.
We study the realization of non-Abelian discrete gauge symmetries in 4d field theory and string theory compactifications. The underlying structure generalizes the Abelian case, and follows from the interplay between gaugings of non-Abelian isometries of the scalar manifold and field identifications making axion-like fields periodic. We present several classes of string constructions realizing non-Abelian discrete gauge symmetries. In particular, compactifications with torsion homology classes, where non-Abelianity arises microscopically from the Hanany-Witten effect, or compactifications with non-Abelian discrete isometry groups, like twisted tori. We finally focus on the more interesting case of magnetized branes in toroidal compactifications and quotients thereof (and their heterotic and intersecting duals), in which the non-Abelian discrete gauge symmetries imply powerful selection rules for Yukawa couplings of charged matter fields. In particular, in MSSM-like models they correspond to discrete flavour symmetries constraining the quark and lepton mass matrices, as we show in specific examples.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/17cc0f781da1e8334df0fb048912deed97fdec98
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In Nuclear and High Energy Physics
- Eran Palti
- Gary Shiu
- F. Marchesano
- A. Uranga
- Anshuman Maharana
- Ralph Blumenhagen
- M. Montero
- Tatsuo C. Kobayashi
Citations in the corpus
- MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, methodology): “ahSimilar ideas in the context of M-theory were studied in [196,197] where the massive U(1)s arose from discrete torsion.”
- Modular A4 invariance and neutrino mixing (2018, background): “) Similar flavor symmetries are also derived in type II magnetized and intersecting D-brane models [20, 21].”
- Dai-Freed anomalies in particle physics (2018, background): “ectrum of charged Z n strings. In a higgsing perspective, the Z n strings are vortices of the UV U(1). However, the Green-Schwarz axion ˚has a Stuckelberg coupling to the U(1). This implies (see e.g. [99,100]) that qZ n strings can break by having a U(1) monopole at the endpoint. In general, there t”
- F-term axion monodromy inflation (2014, background): “The KK reduction in the presence of torsion cycles has been discussed in [30] (see also [31]), which we adapt to our present purposes.”