Moduli spaces and target space duality symmetries in (0, 2) Z orbifold theories with continuous Wilson lines

1994/05/02 by Gabriel Lopes Cardoso, G. Lopes Cardoso, Dieter Lüst +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Duality (order theory) #Geometric Analysis and Curvature Flows #Holomorphic function #Homogeneous space #Modular equation #Moduli #Moduli space #Orbifold #Space (punctuation) #Twist #hep-th

paper · pdf · doi:10.1016/0550-3213(94)90594-0

published as Nucl.Phys.B432:68-108,1994 · 43 pages, HUB-IEP-94/6

arxiv created 1994/05/02 · openalex publication_date 1994/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the coset structure of the untwisted moduli space of heterotic (0,2) Z_N orbifold compactifications with continuous Wilson lines. For the cases where the internal 6-torus T₆ is given by the direct sum T₄ ⊕ T₂, we explicitly construct the Kähler potentials associated with the underlying 2-torus T₂. We then discuss the transformation properties of these Kähler potentials under target space modular symmetries. For the case where the Z_N twist possesses eigenvalues of -1, we find that holomorphic terms occur in the Kähler potential describing the mixing of complex Wilson moduli. As a consequence, the associated T and U moduli are also shown to mix under target space modular transformations.

Citations

• Comment on the generation number in orbifold compactifications
• On the moduli space of the T 6 /Z 3 orbifold and its modular group
• Duality-anomaly cancellation, minimal string unification and the effective low-energy lagrangian of 4D strings
• Threshold corrections to gauge couplings in orbifold compactifications
• Moduli dependence of string loop corrections to gauge coupling constants
• A Comment on Duality Transformations and (Discrete) Gauge Symmetries in Four-Dimensional Strings
• Gauge coupling running in minimal SU(3) × SU(2) × U(1) superstring unification
• Model-independent analysis of soft terms in effective supergravity and in string theory
• Strings on orbifolds
• CRITICAL WILSON LINES IN TOROIDAL COMPACTIFICATIONS OF HETEROTIC STRINGS

Cited by

• Regularization techniques for the radiative corrections of Wilson lines and Kaluza-Klein states
• Loop corrections to volume moduli and inflation in string theory