The critical composite superconformal string

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physics of Atomic Nuclei

OSTI ID:102854

Kudryavtsev, V A ^[1]

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1. St. Petersburg Institute of Nuclear Physics (Russian Federation)

In this paper, the author finds how we can obtain the composite superconformal model with critical properties. As is known, the standard Neveu-Schwarz-Ramond string is critical in 10-d space-time. The composite string, in addition to the standard NSR fields X{sub m}({tau}) and H{sub m}({tau}), m = 0, 1, 2,..., d - 1 (a string coordinate and its superpartnre), has a supplementary set of 36 anticommutation fields of conformal dimension 1/2 in a superfermionic sector. They are 8-component fields {Psi}{sub {alpha}{beta}} ({alpha} is a spinor index and {beta} is an isospinor one, {alpha} = 1, 2, 3, 4; {beta} = 1, 2) carring quantum numbers of an isospinor quark with the spin 1/2 and 28 fields with quantum numbers of currents built from these quarks. Among the 28 fields we have 10 isoscalar fields (4 vectors {var_phi}{sub {mu}} and 6 tensors {zeta}{sub {mu}v}) and 18 isovector fields (3 scalars {eta}{sub i}, 3 pseudoscalars, v{sub i}, and 12 pseudovectors {chi}{sub {mu}i}, {mu} = 0, 1, 2, 3; i = 1, 2). These 36 components appear in the three-linear (in these fields) scalar supergauge operator G{sub r}{sup f} of the Virasoro algebra.

• OSTI ID: 102854
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 8 Vol. 57; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMMUTATION RELATIONS
CONFORMAL GROUPS
QUARKS
STRING MODELS