Abstract
We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow SU(5) model. The model predicts the existence of a dark (1, 24, 0) + (5, 5*, −y′) + (5*, 5, y′) sector and an anomalous U(1)Z.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Georgi and S.L. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
P. Langacker, Grand unified theories and proton decay, Phys. Rept. 72 (1981) 185 [INSPIRE].
S. Dimopoulos and H. Georgi, Softly broken supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [INSPIRE].
S.M. Barr, A new symmetry breaking pattern for SO(10) and proton decay, Phys. Lett. B 112 (1982) 219 [INSPIRE].
I. Antoniadis, J.R. Ellis, J.S. Hagelin and D.V. Nanopoulos, Supersymmetric flipped SU(5) revitalized, Phys. Lett. B 194 (1987) 231 [INSPIRE].
J.R. Ellis, J.L. Lopez and D.V. Nanopoulos, The prospects for CHORUS and NOMAD in the light of COBE and GALLEX, Phys. Lett. B 292 (1992) 189 [hep-ph/9207237] [INSPIRE].
J.R. Ellis, J.L. Lopez, D.V. Nanopoulos and K.A. Olive, Flipped angles and phases: a systematic study, Phys. Lett. B 308 (1993) 70 [hep-ph/9303307] [INSPIRE].
J.R. Ellis, D.V. Nanopoulos and K.A. Olive, Flipped heavy neutrinos: from the solar neutrino problem to baryogenesis, Phys. Lett. B 300 (1993) 121 [hep-ph/9211325] [INSPIRE].
I. Antoniadis, J.R. Ellis, J.S. Hagelin and D.V. Nanopoulos, An improved SU(5) × U(1) model from four-dimensional string, Phys. Lett. B 208 (1988) 209 [Addendum ibid. 213 (1988) 562] [INSPIRE].
B.A. Campbell, J.R. Ellis, J.S. Hagelin, D.V. Nanopoulos and R. Ticciati, Flipped SU(5) from manifold compactification of the ten-dimensional heterotic string, Phys. Lett. B 198 (1987) 200 [INSPIRE].
J.L. Lopez, D.V. Nanopoulos and K.-J. Yuan, The search for a realistic flipped SU(5) string model, Nucl. Phys. B 399 (1993) 654 [hep-th/9203025] [INSPIRE].
J.R. Ellis, D.V. Nanopoulos and J. Walker, Flipping SU(5) out of trouble, Phys. Lett. B 550 (2002) 99 [hep-ph/0205336] [INSPIRE].
J. Ellis, M.A.G. Garcia, N. Nagata, D.V. Nanopoulos and K.A. Olive, Starobinsky-like inflation, supercosmology and neutrino masses in no-scale flipped SU(5), JCAP 07 (2017) 006 [arXiv:1704.07331] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde and M. Porrati, Minimal supergravity models of inflation, Phys. Rev. D 88 (2013) 085038 [arXiv:1307.7696] [INSPIRE].
S. Ferrara, M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Gauging the graded conformal group with unitary internal symmetries, Nucl. Phys. B 129 (1977) 125 [INSPIRE].
M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Superconformal unified field theory, Phys. Rev. Lett. 39 (1977) 1109 [INSPIRE].
P.D. Alvarez, R.A. Chavez and J. Zanelli, Embedding of rank two supercharges in the superconformal algebra, J. Math. Phys. 63 (2022) 042304 [arXiv:2110.06828] [INSPIRE].
P.D. Alvarez, R.A. Chavez and J. Zanelli, Gauging the superconformal group with a graded dual operator, JHEP 02 (2022) 111 [arXiv:2111.09845] [INSPIRE].
P.D. Alvarez, L. Delage, M. Valenzuela and J. Zanelli, N = 2 extended MacDowell-Mansouri supergravity, JHEP 07 (2021) 176 [arXiv:2105.14606] [INSPIRE].
S.W. MacDowell and F. Mansouri, Unified geometric theory of gravity and supergravity, Phys. Rev. Lett. 38 (1977) 739 [Erratum ibid. 38 (1977) 1376] [INSPIRE].
L. Castellani, R. Catenacci and P.A. Grassi, The geometry of supermanifolds and new supersymmetric actions, Nucl. Phys. B 899 (2015) 112 [arXiv:1503.07886] [INSPIRE].
L. Castellani, R. Catenacci and P.A. Grassi, Hodge dualities on supermanifolds, Nucl. Phys. B 899 (2015) 570 [arXiv:1507.01421] [INSPIRE].
P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo and A. Ringwald, WISPy cold dark matter, JCAP 06 (2012) 013 [arXiv:1201.5902] [INSPIRE].
A. Bilal, Lectures on anomalies, Tech. Rep. LPTENS-08-05 (2008) [arXiv:0802.0634] [INSPIRE].
P.D. Alvarez, P. Pais and J. Zanelli, Unconventional supersymmetry and its breaking, Phys. Lett. B 735 (2014) 314 [arXiv:1306.1247] [INSPIRE].
Z. Wan and J. Wang, Beyond standard models and grand unifications: anomalies, topological terms, and dynamical constraints via cobordisms, JHEP 07 (2020) 062 [arXiv:1910.14668] [INSPIRE].
J. Davighi, B. Gripaios and N. Lohitsiri, Global anomalies in the standard model(s) and beyond, JHEP 07 (2020) 232 [arXiv:1910.11277] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2211.12473
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Alvarez, P.D., Chavez, R.A. & Zanelli, J. Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra. J. High Energ. Phys. 2023, 50 (2023). https://doi.org/10.1007/JHEP02(2023)050
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2023)050