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So(10) a La Pati-salam
| Content Provider | Semantic Scholar |
|---|---|
| Author | Girdhar, Aarti |
| Copyright Year | 2008 |
| Abstract | We present rules for rewriting SO(10) tensor and spinor invariants in terms of invariants of its “Pati-Salam” maximal subgroup (SU(4)×SU(2)L × SU(2)R) supplemented by the discrete symmetry called D parity. Explicit decompositions of quadratic and cubic invariants relevant to GUT model building are presented and the role of D parity in organizing the terms explained. Our rules provide a complete and explicit method for obtaining the Clebsch-Gordon Coefficients for SO(10) ↔ GPS . We illustrate our methods by calculating mass matrices of SU(5) GUT type doublets and triplets in the minimal Susy SO(10) GUT. An extensive collection of SO(6) ↔ SU(4),SO(4) ↔ SU(2)L × SU(2)R translation identities is given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0204097v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0204097v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/0204097v4.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Clebsch–Gordan coefficients Coefficient Cubic function Explicit and implicit methods Linear algebra Maximal set Observatorio Astronómico de La Sagra Organizing (structure) Rewriting Rule (guideline) Sense of identity (observable entity) Spinor Subgroup A Nepoviruses |
| Content Type | Text |
| Resource Type | Article |