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Flipped SU(5) GUT with conformal gravity from a single supermultiplet

Journal of Physics: Conference Series, ISSN: 1742-6596, Vol: 2912, Issue: 1
2024
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Conference Paper Description

The Grassmann envelope is used to find the N = 1 ‘superquasiconformal’ algebra in D = 10 + 1. The adjoint representation of this algebra is found to contain su ⊕ u ⊕ su as a submaximal subalgebra, giving a spectrum of conformal gravity with flipped SU × U GUT. Combining Yang-Mills theory with MacDowell-Mansouri gravity over the conformal group is found to recover the Einstein-Hilbert action with a cosmological constant. An action for the theory is presented, which contains the gauge bosons of gravity and GUT, three generations of fermions in an efficient manner, and a new Higgs sector. By using the superalgebra for the entire multiplet, the theory gauges a non-supersymmetric subalgebra without introducing superpartners.

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