skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…

Authors:
 [1];  [1]
  1. Center for Theoretical Physics, Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue Cambridge MA 02139 USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1400792
Grant/Contract Number:
SC00012567
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Fortschritte der Physik
Additional Journal Information:
Journal Volume: 64; Journal Issue: 8-9; Related Information: CHORUS Timestamp: 2017-10-20 15:48:56; Journal ID: ISSN 0015-8208
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
Germany
Language:
English

Citation Formats

Johnson, Samuel B., and Taylor, Washington. Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…. Germany: N. p., 2016. Web. doi:10.1002/prop.201600074.
Johnson, Samuel B., & Taylor, Washington. Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…. Germany. doi:10.1002/prop.201600074.
Johnson, Samuel B., and Taylor, Washington. 2016. "Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…". Germany. doi:10.1002/prop.201600074.
@article{osti_1400792,
title = {Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…},
author = {Johnson, Samuel B. and Taylor, Washington},
abstractNote = {},
doi = {10.1002/prop.201600074},
journal = {Fortschritte der Physik},
number = 8-9,
volume = 64,
place = {Germany},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1002/prop.201600074

Save / Share:
  • Cited by 66
  • We discuss the generation of large intermediate scales of symmetry breaking in grand unification models suggested by the heterotic string. We analyze on dimensional grounds a particular scenario where one flat direction in the effective potential defines two different scales of gauge-symmetry breaking at very high energies ({approx}10{sup 15} GeV). This mechanism implies the presence of one light ({similar to}1 TeV) nonchiral neutrino. The size of the observable low-energy effects seems, however, quite model dependent.
  • The authors of this paper re-examine the possibility of large hierarchical symmetry breaking in the effective field theory of Calabi-Yau compactified superstring. The authors introduce the general superpotential containing the allowed moduli couplings. In certain manifolds one-loop radiative correction gives the non-trivial minimum and that solution suggests the possibility of large hierarchical symmetry breaking. To realize such a large hierarchy, it seems to require that 27(h{sup 2,1} + h{sup 1,1}) {gt} 48 {pi}{sup 2} and H{sup 1} (EndT) chiral superfields should have certain types of couplings to moduli fields.
  • We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an SU(n) gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to SU(3){sub c}xSU(2){sub L}xU(1){sub Q}[resp. SU(3){sub c}xU(1){sub Q}], which couples appropriately to all fields in the standard model. An additional U(1){sub B} gauge group arises which is anomalous at low energies, while the trace-U(1) sector is understood inmore » terms of emergent gravity. A number of additional fields arise, which we assume to be massive, in a pattern that is reminiscent of supersymmetry. The symmetry breaking might arise via spontaneously generated fuzzy spheres, in which case the mechanism is similar to brane constructions in string theory.« less
  • The performance of second-order symmetry-adapted perturbation theory (SAPT) calculations using Kohn-Sham (KS) orbitals is evaluated against benchmark results for intermolecular interactions. Unlike previous studies of this “SAPT(KS)” methodology, the present study uses non-empirically tuned long-range corrected (LRC) functionals for the monomers. The proper v{sub xc} (r)→0 asymptotic limit is achieved by tuning the range separation parameter in order to satisfy the condition that the highest occupied KS energy level equals minus the molecule's ionization energy, for each monomer unit. Tests for He{sub 2}, Ne{sub 2}, and the S22 and S66 data sets reveal that this condition is important for accuratemore » prediction of the non-dispersion components of the energy, although errors in SAPT(KS) dispersion energies remain unacceptably large. In conjunction with an empirical dispersion potential, however, the SAPT(KS) method affords good results for S22 and S66, and also accurately predicts the whole potential energy curve for the sandwich isomer of the benzene dimer. Tuned LRC functionals represent an attractive alternative to other asymptotic corrections that have been employed in density-functional-based SAPT calculations, and we recommend the use of tuned LRC functionals in both coupled-perturbed SAPT(DFT) calculations and dispersion-corrected SAPT(KS) calculations.« less