Low-lying states of the six-dimensional fractional superstring

Journal Article · Sat Nov 14 23:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.4533· OSTI ID:6950131

Argyres, P C; Lyman, E; Tye, S H ^[1]

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1. Newman Laboratory of Nuclear Studies Cornell University Ithaca, New York 14853-5001 (United States)

The {ital K}=4 fractional superstring Fock space is constructed in terms of {bold Z}{sub 4} parafermions and free bosons. The bosonization of the {bold Z}{sub 4} parafermion theory and the generalized commutation relations satisfied by the modes of various parafermion fields are reviewed. In this preliminary analysis, we describe a Fock space which is simply a tensor product of {bold Z}{sub 4} parafermion and free boson Fock spaces. It is larger than the Lorentz-covariant Fock space indicated by the fractional superstring partition function. We derive the form of the fractional superconformal algebra that may be used as the constraint algebra for the physical states of the fractional superstring. Issues concerning the associativity, modings, and braiding properties of the fractional superconformal algebra are also discussed. The use of the constraint algebra to obtain physical state conditions on the spectrum is illustrated by an application to the massless fermions and bosons of the {ital K}=4 fractional superstring. However, we fail to generalize these considerations to the massive states. This means that the appropriate constraint algebra on the fractional superstring Fock space remains to be found. Some possible ways of doing this are discussed.

• OSTI ID: 6950131
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:10; 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
ANGULAR MOMENTUM
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
LORENTZ INVARIANCE
MANY-DIMENSIONAL CALCULATIONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUARK MODEL
SPACE-TIME
SPIN
STRING MODELS
SU GROUPS
SU-2 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
YANG-MILLS THEORY