Simple finite non-Abelian flavor groups

Christoph Luhn; Salah Nasri; Pierre Ramond

doi:10.1063/1.2823978

Simple finite non-Abelian flavor groups

Christoph Luhn, Salah Nasri, Pierre Ramond

Department of Physics

Research output: Contribution to journal › Article › peer-review

68 Citations (Scopus)

Abstract

The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the icosahedral group A5, a subgroup of SO (3), and PS L2 (7), a subgroup of SU (3).

Original language	English
Article number	123519
Journal	Journal of Mathematical Physics
Volume	48
Issue number	12
DOIs	https://doi.org/10.1063/1.2823978
Publication status	Published - 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.2823978

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title = "Simple finite non-Abelian flavor groups",

abstract = "The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the icosahedral group A5, a subgroup of SO (3), and PS L2 (7), a subgroup of SU (3).",

author = "Christoph Luhn and Salah Nasri and Pierre Ramond",

note = "Funding Information: We are grateful for inspiring discussions with G. G. Ross. One of us (P.R.) acknowledges the hospitality of the Aspen Center for Physics where part of this work was done. Another one of us (C.L.) is supported by the University of Florida through the Institute for Fundamental Theory. Two of us (S.N. and P.R.) are supported by the Department of Energy Grant No. DE-FG02-97ER41029. ",

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AU - Nasri, Salah

AU - Ramond, Pierre

N1 - Funding Information: We are grateful for inspiring discussions with G. G. Ross. One of us (P.R.) acknowledges the hospitality of the Aspen Center for Physics where part of this work was done. Another one of us (C.L.) is supported by the University of Florida through the Institute for Fundamental Theory. Two of us (S.N. and P.R.) are supported by the Department of Energy Grant No. DE-FG02-97ER41029.

PY - 2007

Y1 - 2007

N2 - The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the icosahedral group A5, a subgroup of SO (3), and PS L2 (7), a subgroup of SU (3).

AB - The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the icosahedral group A5, a subgroup of SO (3), and PS L2 (7), a subgroup of SU (3).

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Simple finite non-Abelian flavor groups

Abstract

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