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The Family Problem: Hints from Heterotic Line Bundle Models
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 173Article in journal (Refereed) Published
Abstract [en]

Within the class of heterotic line bundle models, we argue that N=1" role="presentation" style="display: inline; font-size: 13.6px; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: arial, verdana, sans-serif; position: relative;">=1N=1 vacua which lead to a small number of low-energy chiral families are preferred. By imposing an upper limit on the volume of the internal manifold, as required in order to obtain finite values of the four-dimensional gauge couplings, and validity of the supergravity approximation we show that, for a given manifold, only a finite number of line bundle sums are consistent with supersymmetry. By explicitly scanning over this finite set of line bundle models on certain manifolds we show that, for a sufficiently small volume of the internal manifold, the family number distribution peaks at small values, consistent with three chiral families. The relation between the maximal number of families and the gauge coupling is discussed, which hints towards a possible explanation of the family problem.

Place, publisher, year, edition, pages
2016. no 3, 173
Keyword [en]
space: internal | coupling: gauge | family | heterotic | chiral | supersymmetry | vacuum state | supergravity Author supplied: Superstring Vacua | Superstrings and Heterotic Strings
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-288092DOI: 10.1007/JHEP03(2016)173ISI: 000373221000001OAI: oai:DiVA.org:uu-288092DiVA: diva2:923917
Available from: 2016-04-27 Created: 2016-04-27 Last updated: 2017-11-30Bibliographically approved

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Constantin, Andrei

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