A Built-in Horizontal Symmetry of SO(10)

 

Prof Harry Lam
McGill University

15 April 2014 (Tuesday)
2:00 pm
IAS Rm4042, 4/F, Lo Ka Chung Building, Lee Shau Kee Campus, HKUST

Abstract:

In a renormalizable SO(10) theory, all fermion mass matrices are linear combinations of three fundamental types, M¹⁰, M¹²⁶, and M¹²⁰ whose superscripts indicate their SO(10) transformation properties. The speaker points out that each of these fundamental mass matrices possesses a natural symmetry, which can be used to generate an unbroken horizontal symmetry, if the natural symmetry is taken to be its residual symmetry. This built-in symmetry is a Coxeter group. If it is finite, it must be one of five groups, S₄, Z₂ x S₄, Z₂ x A₅, plus two ‘rank-4’ groups. These symmetries reduce the number of parameters in an SO(10) fit in a way to be discussed. Since they are built-in and can be derived theoretically, it is hoped that they place better constraints than those without a theoretical basis.

 

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The seminar is free and open to the public. No registration is required. Seating is on a first-come first-served basis.

HKUST Jockey Club Institute for Advanced Study
URL: http://ias.ust.hk
Enquiries: ias@ust.hk / 2358 5912

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