Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910766243774464 |
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| author | Chester, David Marrani, Alessio Rios, Michael Irwin, Klee |
| author_facet | Chester, David Marrani, Alessio Rios, Michael Irwin, Klee |
| contents | The Grassmann envelope is used to find the $\mathcal{N}=1$ `superquasiconformal' algebra in $D=10+1$. The adjoint representation of this algebra is found to contain $\mathfrak{su}_{2,2}\oplus \mathfrak{u}_{1}\oplus \mathfrak{su}_{5}$ as a submaximal subalgebra, giving a spectrum of conformal gravity with flipped $SU_{5}\times U_{1}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet Chester, David Marrani, Alessio Rios, Michael Irwin, Klee High Energy Physics - Theory The Grassmann envelope is used to find the $\mathcal{N}=1$ `superquasiconformal' algebra in $D=10+1$. The adjoint representation of this algebra is found to contain $\mathfrak{su}_{2,2}\oplus \mathfrak{u}_{1}\oplus \mathfrak{su}_{5}$ as a submaximal subalgebra, giving a spectrum of conformal gravity with flipped $SU_{5}\times U_{1}$ 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. |
| title | Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.20191 |