Kaluza-Klein masses in nonprime orbifolds: Z(12-I) compactification and threshold correction

Abstract

Analyzing the one-loop partition function, we discuss possible Kaluza-Klein (KK) states in the orbifold compactification of the heterotic string theory, toward the application to the threshold correction. The KK massive states associated with (relatively) large extra dimensions can arise only in non-prime orbifolds. The GSO projection condition by a shift vector $V^I$ is somewhat relaxed above the compactification scale 1/R. We also present the other condition on Wilson line $W$, $P\cdot W=\mathrm{integer}$. With the knowledge of the partition function, we obtain the threshold corrections to gauge couplings, which include the Wilson line effects. We point out the differences in string and field theoretic orbifolds.

arXiv comment53 pages

References in corpus (40)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Supersymmetric Standard Model from the Heterotic String
• TeV scale 5D $SU(3{)}_W$ unification and the fixed point anomaly cancellation with chiral split multiplets
• Gauge Unification In Six Dimensions
• Split Multiplets, Coupling Unification and Extra Dimension
• SO(10) Unified Theories in Six Dimensions
• Search for Proton Decay via p -> e+ pi0 in a Large Water Cherenkov Detector
• Supersymmetric Standard Model from the Heterotic String (II)
• Proton stability in TeV-scale GUTs
• SO(10) grand unification in five dimensions: Proton decay and the mu problem
• Threshold Corrections to Gauge Couplings in Orbifold Compactifications
• Constructing 5d orbifold grand unified theories from heterotic strings
• Gauge Coupling Unification from Unified Theories in Higher Dimensions
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Heterotic Brane World
• GUT Breaking on the Brane
• Superstring standard model from Z_{12-I} orbifold compactification with and without exotics, and effective R-parity
• Unification in 5D SO(10)
• Strongly Coupled Grand Unification in Higher Dimensions
• Proton Decay Signatures of Orbifold GUTs
• Quarks and Leptons between Branes and Bulk
• GUT Breaking on $M^4\times T^2/(Z_2\times Z_2^{\prime })$
• Dual Models of Gauge Unification in Various Dimensions
• N=2 Supersymmetric GUT Breaking on $T^2$ Orbifolds
• String compactification, QCD axion and axion-photon-photon coupling
• Family Unification in Five and Six Dimensions
• String Threshold corrections from Field Theory
• Higher derivatives and brane-localised kinetic terms in gauge theories on orbifolds
• Low Energy Consequences of Five Dimensional SO(10)
• Gauge mediated supersymmetry breaking without exotics in orbifold compactification
• Harmless R-parity violation from Z_{12-I} compactification of E_8 X E_8' heterotic string
• GMSB at a stable vacuum and MSSM without exotics from heterotic string
• Gauge Coupling Unification in Six Dimensions
• SO(10)-like Superstring Standard Model with R-parity from the Heterotic String

Cited by in corpus (17)

• Flipped SU(5) X U(1)_X Models from F-Theory
• SU(5)_{flip} x SU(5)' from Z_{12-I}
• Axionic dark energy and a composite QCD axion
• Neutron Majorana mass from exotic instantons
• PAMELA/ATIC anomaly from the meta-stable extra dark matter component and the leptophilic Yukawa interaction
• Searching for the Standard Model in the String Landscape : SUSY GUTs
• SUSY GUT Model Building
• PAMELA/ATIC Anomaly from Exotic Mediated Dark Matter Decay
• Reconciling Grand Unification with Strings by Anisotropic Compactifications
• White dwarf axions, PAMELA data, and flipped-SU(5)
• Decaying dark matter with heavy axino
• Naturally realized two dark Z's near the electroweak scale
• Neutron Majorana mass from Exotic Instantons in a Pati-Salam model
• Decaying LSP in SO(10) GUT and PAMELA's Cosmic Positron
• Gaugino condensation scale of one family hidden SU(5)', dilaton stabilization and gravitino mass
• Contorted Flavors in Grand Unification and Proton Decay
• Inert Higgs extension of the NMSSM