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High Energy Physics - Theory

arXiv:2111.03012 (hep-th)
[Submitted on 4 Nov 2021 (v1), last revised 23 Feb 2022 (this version, v2)]

Title:Spectral triple with real structure on fuzzy sphere

Authors:Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty
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Abstract:Here we have illustrated the construction of a real structure on fuzzy sphere $S^2_*$ in its spin-1/2 representation. Considering the SU(2) covariant Dirac and chirality operator on $S^2_*$ given by Watamura et. al. in [6], we have shown that the real structure is consistent with other spectral data for KO dimension-4 fulfilling the zero order condition, where we find it necessary to enlarge the symmetry group from SO(3) to the full orthogonal group O(3). However the first order condition is violated thus paving the way to construct a toy model for an SU(2) gauge theory to capture some features of physics beyond standard model following Connes this http URL. [9].
Comments: 16 Pages, Some typographical corrections are done in version-2
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Cite as: arXiv:2111.03012 [hep-th]
  (or arXiv:2111.03012v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.03012
Journal reference: J. Math. Phys. 63, 023504 (2022)
Related DOI: https://doi.org/10.1063/5.0084008

Submission history

From: Anwesha Chakraborty Ms [view email]
[v1] Thu, 4 Nov 2021 17:15:26 UTC (21 KB)
[v2] Wed, 23 Feb 2022 08:37:48 UTC (20 KB)
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