Dependence of Yukawa couplings on the axionic background moduli of Z sub N orbifolds

Journal Article · Fri May 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3651· OSTI ID:7044454

Erler, J; Jungnickel, D ^[1]; Lauer, J ^[2]

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1. Physik Department, Technische Universitaet Muenchen, D-8046 Garching (Germany) Max-Planck-Institut fuer Physik-Werner-Heisenberg-Institut, P.O. Box 401212, D-8000 Muenchen (Germany)
2. Stanford Linear Accelerator Center, Stanford University, Stanford, California, 94309 (United States)

The metrical and axionic background moduli which determine a general symmetric {ital Z}{sub {ital N}} orbifold model are chosen in such a way that the rotational twist leaves the underlying {sigma} model action invariant. A thorough analysis of this condition is given. We notice that it plays a key role in the evaluation of the four-point correlation functions of ground states which belong to the lowest twisted sectors. Having fixed the normalization of these functions we factorize them with respect to the twisted intermediate channel. This method yields the moduli-dependent part of the twisted sector Yukawa couplings of an orbifoldized heterotic string model. We then perform various discrete mappings (axionic shifts, duality) on the space of background moduli and recognize that the induced linear transformations of the Yukawa couplings are essentially independent of the choice of a specific background. If compensating unitary redefinitions of the twist fields are applied then orbifold models whose backgrounds are related by one of the above mappings cannot be distinguished. For many twist orders we arrive at an explicit form of the phase factors needed to redefine twist fields in order that a general discrete axionic shift can be undone. The requirement of duality invariance is sufficient to determine the moduli dependence of the Yukawa couplings. Hence one may even bypass the evaluation of instanton actions.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 7044454
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIONS
BOSON-EXCHANGE MODELS
BOSONS
COMPOSITE MODELS
CORRELATION FUNCTIONS
COUPLING
DUALITY
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GOLDSTONE BOSONS
INSTANTONS
MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTICLE MODELS
PERIPHERAL MODELS
POSTULATED PARTICLES
POTENTIALS
QUARK MODEL
QUASI PARTICLES
SCALAR FIELDS
SIGMA MODEL
STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
UNIFIED-FIELD THEORIES
WILSON LOOP
YUKAWA POTENTIAL