Unification of elementary forces in gauge SL(2N,C) theories
Abstract
We argue that the gauge theories may point to a possible way where the known elementary forces, including gravity, could be consistently unified. Remarkably, while all related gauge fields are presented in the same adjoint multiplet of the symmetry group, the tensor field submultiplet providing gravity can be naturally suppressed in the weak-field approach developed for accompanying tetrad fields. As a result, the whole theory turns out to effectively possess the local symmetry so as to naturally lead to the gauge gravity, on the one hand, and the grand unified theory, on the other. Since all states involved in the theories are additionally classified according to their spin values, many possible GUTs - including the conventional one-family theory - appear not to be relevant for the standard spin quarks and leptons. Meanwhile, the grand unification for all three families of composite quarks and leptons that stems from the theory seems to be of special interest that is studied in some detail.
Keywords
Cite
@article{arxiv.2208.01478,
title = {Unification of elementary forces in gauge SL(2N,C) theories},
author = {J. L. Chkareuli},
journal= {arXiv preprint arXiv:2208.01478},
year = {2023}
}
Comments
Reason for withdrawal: the substantial text overlap with a new submission, submit/5161679, which though is more complete and appropriate than 2208.01478 (23p vs 16p)