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Possibility of optical unification in heterotic strings

G. Cleaver1,2,*, V. Desai1,3,†, H. Hanson1,4,‡, J. Perkins1,§, D. Robbins1,5,∥, and S. Shields1,6,¶

  • 1Center for Astrophysics, Space Physics & Engineering Research, Department of Physics, P. O. Box 97316, Baylor University, Waco, Texas 76798-7316
  • 2Astro Particle Physics Group, Houston Advanced Research Center (HARC), The Mitchell Campus, Woodlands, Texas 77381
  • 3St. Thomas Episcopal School, 4900 Jackwood, Houston, Texas 77096
  • 4Department of Physics, University of West Florida, Pensacola, Florida 32514
  • 5Department of Physics, Tulane University, New Orleans, Louisiana 70118
  • 6Department of Physics, California Polytechnic State University, San Luis Obispo, California 93407

  • *Electronic mail: Gerald_Cleaver@baylor.edu
  • †Electronic mail: verlox7516@yahoo.com
  • ‡Electronic mail: hah1@students.uwf.edu
  • §Electronic mail: John_Perkins@baylor.edu
  • ∥Electronic mail: drobbin@tulane.edu
  • Electronic mail: sshields@calpoly.edu
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Phys. Rev. D 67, 026009 – Published 30 January, 2003

DOI: https://doi.org/10.1103/PhysRevD.67.026009

Abstract

Recently Giedt discussed a mechanism, entitled optical unification, whereby string scale unification is facilitated via exotic matter with intermediate scale mass. This mechanism guarantees that a virtual minimal supersymmetric standard model unification below the string scale is extrapolated from the running of gauge couplings upward from MZo when an intermediate scale desert is assumed. In this paper we explore the possibility of optical unification within the context of weakly coupled heterotic strings. In particular, we investigate this for models of free fermionic construction containing the Nanopoulos-Antoniadis-Hagelin-Ellis (NAHE) set of basis vectors. This class is of particular interest for optical unification, because it provides a standard hypercharge embedding within SO(10), giving the standard kY=53 hypercharge level, which was shown necessary for optical unification. We present a NAHE model for which the set of exotic SU(3)C triplet-antitriplet pairs, SU(2)L doublets, and non-Abelian singlets with hypercharge offers the possibility of optical unification. Whether this model can realize optical unification is conditional upon these exotics not receiving Fayet-Iliopoulos (FI) scale masses when a flat direction of scalar vacuum expectation values is nonperturbatively chosen to cancel the FI D term ξ generated by the anomalous U(1)-breaking Green-Schwarz-Dine-Seiberg-Witten mechanism. A study of perturbative flat directions and their phenomenological implications for this model is underway.

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Phys. Rev. D 67, 026009– Published 30 January, 2003
  • Received 8 September 2002

© 2003 American Physical Society

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