Classification of flipped SU(5) heterotic-string vacua
We extend the classification of free fermionic heterotic-string vacua to models in which the SO(10) GUT symmetry is reduced at the string level to the flipped SU(5) subgroup. In our classification method the set of boundary condition basis vectors is fixed and the enumeration of string vacua is obta...
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doaj-d021c660da7341c18b4c6678d782d6a62020-11-24T22:32:44ZengElsevierNuclear Physics B0550-32131873-15622014-09-01886C20224210.1016/j.nuclphysb.2014.06.025Classification of flipped SU(5) heterotic-string vacuaAlon E. Faraggi0John Rizos1Hasan Sonmez2Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UKDepartment of Physics, University of Ioannina, GR45110 Ioannina, GreeceDepartment of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UKWe extend the classification of free fermionic heterotic-string vacua to models in which the SO(10) GUT symmetry is reduced at the string level to the flipped SU(5) subgroup. In our classification method the set of boundary condition basis vectors is fixed and the enumeration of string vacua is obtained in terms of the Generalised GSO (GGSO) projection coefficients entering the one-loop partition function. We derive algebraic expressions for the GGSO projections for all the physical states appearing in the sectors generated by the set of basis vectors. This enables the programming of the entire spectrum analysis in a computer code. For that purpose we developed two independent codes, based on FORTRAN95 and JAVA, and all results presented are confirmed by the two independent routines. We perform a statistical sampling in the space of 244∼1013 flipped SU(5) vacua, and scan up to 1012 GGSO configurations. Contrary to the corresponding Pati–Salam classification results, we do not find exophobic flipped SU(5) vacua with an odd number of generations. We study the structure of exotic states appearing in the three generation models, that additionally contain a viable Higgs spectrum, and demonstrate the existence of models in which all the exotic states are confined by a hidden sector non-Abelian gauge symmetry, as well as models that may admit the racetrack mechanism.http://www.sciencedirect.com/science/article/pii/S0550321314002089 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alon E. Faraggi John Rizos Hasan Sonmez |
spellingShingle |
Alon E. Faraggi John Rizos Hasan Sonmez Classification of flipped SU(5) heterotic-string vacua Nuclear Physics B |
author_facet |
Alon E. Faraggi John Rizos Hasan Sonmez |
author_sort |
Alon E. Faraggi |
title |
Classification of flipped SU(5) heterotic-string vacua |
title_short |
Classification of flipped SU(5) heterotic-string vacua |
title_full |
Classification of flipped SU(5) heterotic-string vacua |
title_fullStr |
Classification of flipped SU(5) heterotic-string vacua |
title_full_unstemmed |
Classification of flipped SU(5) heterotic-string vacua |
title_sort |
classification of flipped su(5) heterotic-string vacua |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 1873-1562 |
publishDate |
2014-09-01 |
description |
We extend the classification of free fermionic heterotic-string vacua to models in which the SO(10) GUT symmetry is reduced at the string level to the flipped SU(5) subgroup. In our classification method the set of boundary condition basis vectors is fixed and the enumeration of string vacua is obtained in terms of the Generalised GSO (GGSO) projection coefficients entering the one-loop partition function. We derive algebraic expressions for the GGSO projections for all the physical states appearing in the sectors generated by the set of basis vectors. This enables the programming of the entire spectrum analysis in a computer code. For that purpose we developed two independent codes, based on FORTRAN95 and JAVA, and all results presented are confirmed by the two independent routines. We perform a statistical sampling in the space of 244∼1013 flipped SU(5) vacua, and scan up to 1012 GGSO configurations. Contrary to the corresponding Pati–Salam classification results, we do not find exophobic flipped SU(5) vacua with an odd number of generations. We study the structure of exotic states appearing in the three generation models, that additionally contain a viable Higgs spectrum, and demonstrate the existence of models in which all the exotic states are confined by a hidden sector non-Abelian gauge symmetry, as well as models that may admit the racetrack mechanism. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321314002089 |
work_keys_str_mv |
AT alonefaraggi classificationofflippedsu5heteroticstringvacua AT johnrizos classificationofflippedsu5heteroticstringvacua AT hasansonmez classificationofflippedsu5heteroticstringvacua |
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