Vacuum Constraints for Realistic Strongly Coupled Heterotic M-Theories

Journal Article · 04 December 2018 · Symmetry

DOI: https://doi.org/10.3390/sym10120723 · OSTI ID:1610997

Ovrut, Burt ^[1]

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1. Univ. of Pennsylvania, Philadelphia, PA (United States); DOE/OSTI

The compactification from the 11-dimensional Horava-Witten orbifold to 5-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU\left(4\right)$ vector bundle leading to the “heterotic standard model” in the observable sector. A generic formalism for a consistent hidden sector gauge bundle, within the context of strongly coupled heterotic M-theory, is presented. Anomaly cancellation and the associated bulk space 5-branes are discussed in this context. The further compactification to a 4-dimensional effective field theory on a linearized BPS double domain wall is then presented to order ${\kappa }_{11}^{4/3}$. Specifically, the generic constraints required for anomaly cancellation and by the linearized domain wall solution, restrictions imposed by the vanishing of the D-terms and, finally, the constraints imposed by the necessity for positive, perturbative squared gauge couplings to this order are presented in detail.

• Research Organization: Univ. of Pennsylvania, Philadelphia, PA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: SC0007901
• OSTI ID: 1610997
• Journal Information: Symmetry, Journal Name: Symmetry Journal Issue: 12 Vol. 10; ISSN SYMMAM; ISSN 2073-8994
• Publisher: MDPICopyright Statement
• Country of Publication: United States
• Language: English