Duality-anomaly cancellation, minimal string unification and the effective low-energy lagrangian of 4D strings

1992/02/14 by Luis E. Ibáñez, Luis E. Ibanez, Dieter Lüst +1 · 7 citations
Mathematics · Physics and Astronomy · #Abelian group #Anomaly (physics) #Black Holes and Theoretical Physics #Duality (order theory) #Gauge group #Gauge theory #Massless particle #Mathematical physics #Mathematics #Orbifold #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String (physics) #String duality #String theory #T-duality #Theoretical physics #hep-th

paper · pdf · doi:10.1016/0550-3213(92)90189-i

published as Nucl.Phys.B382:305-364,1992 · 69 pages

arxiv created 1992/02/14 · openalex publication_date 1992/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a systematic study of the constraints coming from target-space duality and the associated duality anomaly cancellations on orbifold-like 4-D strings. A prominent role is played by the modular weights of the massless fields. We present a general classification of all possible modular weights of massless fields in Abelian orbifolds. We show that the cancellation of modular anomalies strongly constrains the massless fermion content of the theory, in close analogy with the standard ABJ anomalies. We emphasize the validity of this approach not only for (2,2) orbifolds but for (0,2) models with and without Wilson lines. As an application one can show that one cannot build a \bf Z₃ or \bf Z₇ orbifold whose massless charged sector with respect to the (level one) gauge group SU(3)× SU(2) × U(1) is that of the minimal supersymmetric standard model, since any such model would necessarily have duality anomalies. A general study of those constraints for Abelian orbifolds is presented. Duality anomalies are also related to the computation of string threshold corrections to gauge coupling constants. We present an analysis of the possible relevance of those threshold corrections to the computation of sin²θ_W and α₃ for all Abelian orbifolds. Some particular \it minimal scenarios, namely those based on all \bf Z_N orbifolds except \bf Z₆

Citations

• Topics in String Unification
• Gluino condensation in superstring models
• Vacuum configurations for superstrings
• Superstrings in the early universe
• Fayet-Iliopoulos terms in string theory
• Moduli dependence of string loop corrections to gauge coupling constants
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• Gauge coupling running in minimal SU(3) × SU(2) × U(1) superstring unification

Cited by

• Moduli spaces and target space duality symmetries in (0, 2) Z orbifold theories with continuous Wilson lines
• Quantum symmetries and stringy instantons
• Do deep inelastic scattering data favor a light gluino?
• Standard model-like D-brane models and gauge couplings
• Mass formulae and natural hierarchy in string effective supergravities
• Spin-four N=7 W-supergravity: S-fold and double copy construction
• Loop corrections to volume moduli and inflation in string theory
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes