Modular invariant partition functions for parafermionic field theories

Gepner, D.; Qiu, Z.

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Modular invariant partition functions for parafermionic field theories

Gepner, D.1987

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AbstractAbstract

[en] The partition functions of the parafermionic theories of Zamolodchikov and Fateev are computed in terms of the string functions of affine algebra. Conditions for modular invariance are given and a complete set of solutions is found. The partition functions in the presence of twisted boundary conditions are also given. All the solutions are shown to be orbifolds of some principal ones. (orig.)

Primary Subject

CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS (A1130)

Source

GRANT PHY-80-19754; DE-AC02-76ER02220

Record Type

Journal Article

Journal

Nucl. Phys. B, Field Theory Stat. Syst; ISSN 0169-6823;

; CODEN NBSSD; v. 285(3); p. 423-453

Country of publication

Netherlands

Descriptors (DEI)

BOUNDARY CONDITIONS, COMMUTATION RELATIONS, CONFORMAL INVARIANCE, CURRENT ALGEBRA, FERMIONS, HILBERT SPACE, ORBITS, PARASTATISTICS, PARTITION FUNCTIONS, QUANTUM FIELD THEORY, QUANTUM OPERATORS, SERIES EXPANSION, SMOOTH MANIFOLDS, SPINOR FIELDS, STRING MODELS, SU-2 GROUPS, TWISTOR THEORY

Descriptors (DEC)

BANACH SPACE, EXTENDED PARTICLE MODEL, FIELD THEORIES, FUNCTIONS, INVARIANCE PRINCIPLES, LIE GROUPS, MATHEMATICAL MANIFOLDS, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, MATHEMATICAL SPACE, PARTICLE MODELS, SPACE, SU GROUPS, SYMMETRY GROUPS

Reference NumberReference Number

19000065

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