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SO(10)

Contents

Contents

Idea

SO(10)SO(10) is the special orthogonal group in dimension 10.

Spin(10)Spin(10) is the spin group in dimension 10.

In the classification of simple Lie groups this is the entry D5.

rotation groups in low dimensions:

Dynkin labelsp. orth. groupspin grouppin groupsemi-spin group
SO(2)Spin(2)Pin(2)
B1SO(3)Spin(3)Pin(3)
D2SO(4)Spin(4)Pin(4)
B2SO(5)Spin(5)Pin(5)
D3SO(6)Spin(6)
B3SO(7)Spin(7)
D4SO(8)Spin(8)SO(8)
B4SO(9)Spin(9)
D5SO(10)Spin(10)
B5SO(11)Spin(11)
D6SO(12)Spin(12)
\vdots\vdots
D8SO(16)Spin(16)SemiSpin(16)
\vdots\vdots
D16SO(32)Spin(32)SemiSpin(32)

see also


References

General

(…)

As a grand unified gauge group

Discussion as a gauge group in grand unified theory (see there):

  • Stefano Bertolini, Luca Di Luzio, Michal Malinský, Intermediate mass scales in the non-supersymmetric SO(10) grand unification: a reappraisal, Phys. Rev. D80:015013, 2009 (arXiv:0903.4049)

review:

for non-superymmetric models:

  • L. Lavoura and Lincoln Wolfenstein, Resuscitation of minimal SO(10)SO(10) grand unification, Phys. Rev. D 48, 264 (doi:10.1103/PhysRevD.48.264)

  • Guido Altarelli, Davide Meloni, A non Supersymmetric SO(10) Grand Unified Model for All the Physics below M GUTM_{GUT} (arXiv:1305.1001)

  • Alexander Dueck, Werner Rodejohann, Fits to SO(10)SO(10) Grand Unified Models (arXiv:1306.4468)

  • Chee Sheng Fong, Davide Meloni, Aurora Meroni, Enrico Nardi, Leptogenesis in SO(10)SO(10) (arXiv:1412.4776)

    (in view of leptogenesis)

  • Tommy Ohlsson, Marcus Pernow, Fits to Non-Supersymmetric SO(10) Models with Type I and II Seesaw Mechanisms Using Renormalization Group Evolution (arXiv:1903.08241)

  • Mainak Chakraborty, M.K. Parida, Biswonath Sahoo, Triplet Leptogenesis, Type-II Seesaw Dominance, Intrinsic Dark Matter, Vacuum Stability and Proton Decay in Minimal SO(10) Breakings (arXiv:1906.05601)

    Results indicating non-SUSY SO(10)SO(10) as self sufficient theory for neutrino masses, baryon asymmetry, dark matter, vacuum stability of SM scalar potential, origin of three gauge forces, and observed proton stability.

  • Nobuchika Okada, Digesh Raut, Qaisar Shafi, Inflation, Proton Decay, and Higgs-Portal Dark Matter in SO(10)×U(1) priSO(10) \times U(1)_\pri (arXiv:1906.06869)

for supersymmetric models:

  • Archana Anandakrishnan, B. Charles Bryant, Stuart Raby, LHC Phenomenology of SO(10)SO(10) Models with Yukawa Unification II (arXiv:1404.5628)

  • Ila Garg, New minimal supersymmetric SO(10)SO(10) GUT phenomenology and its cosmological implications (arXiv:1506.05204)

Last revised on August 29, 2019 at 05:01:50. See the history of this page for a list of all contributions to it.