Symmetries on the Space of (2,2) Superstring Vacua and Automorphism Groups of Calabi-Yau Manifolds

Conference · Thu May 10 00:00:00 EDT 1990

OSTI ID:6397206

Giveon, Amit ^[1]; Smit, Dirk -Jan ^[1]

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1. Lawrence Berkeley Laboratory (LBL), Berkeley, CA (United States)

Symmetry groups on the space of (2,2) string vacua for c = 3,6,9 are discussed in the context of orbifoldized Landau-Ginzburg theories. A general method for finding the maximal symmetry groups on the moduli space of untwisted marginal operators is presented, by studying symmetries on the resolution of isolated singularities of superpotentials. Stabilizing subgroups of such symmetry groups are shown to correspond with automorphism groups of Calabi-Yau manifolds. In addition to our earlier work on this subject we present some new examples for c = 9 (2,2) vacua. Susbsequently we discuss modular transformations that relate small volume target-spaces to large ones.

• Research Organization: Lawrence Berkeley Laboratory (LBL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6397206
• Report Number(s): LBL--29470; CONF-9005316--1; UCB-PTH--90/37; ON: DE91008218
• Country of Publication: United States
• Language: English

Related Subjects

645000* -- High Energy Physics
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GINZBURG-PITAEVSKII THEORY
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
STRING MODELS
SUPERSYMMETRY
SYMMETRY