Massless chiral supermultiplets of higher spins and the {theta}-twistor

Journal Article · Thu Jul 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.025010· OSTI ID:21410154

Chaichian, M; Tureanu, A ^[1]; Zheltukhin, A A ^[2]

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1. Department of Physics, University of Helsinki and Helsinki Institute of Physics, P. O. Box 64, FIN-00014 Helsinki (Finland)
2. Kharkov Institute of Physics Technology, 61108 Kharkov (Ukraine)

Recently N. Berkovits, motivated by the supertwistor description of N=4 D=4 super Yang-Mills, considered the generalization of the N=1 D=4 {theta}-twistor construction to D=10 and applied it for a compact covariant description of N=1 D=10 super Yang-Mills. This supports the relevance of the {theta}-twistor as a supersymmetric twistor alternative to the well-known supertwistor. The minimal breaking of superconformal symmetry is an inherent property of the {theta}-twistor received from its fermionic components, described by a Grassmannian vector instead of a Grassmannian scalar in the supertwistor. The {theta}-twistor description of the N=1 D=4 massless chiral supermultiplets (S, S+1/2) with spins S=0,1/2,1,3/2,2,... is considered here. The description permits to restore the auxiliary F fields of the chiral supermultiplets absent in the supertwistor approach. The proposed formalism is naturally generalized to N=4 D=4 and can be used for an off-shell description of the corresponding super Yang-Mills theory.

• OSTI ID: 21410154
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRALITY
CONFORMAL INVARIANCE
FERMIONS
INVARIANCE PRINCIPLES
MANY-DIMENSIONAL CALCULATIONS
MULTIPLETS
PARTICLE PROPERTIES
SPIN
SUPERMULTIPLETS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
YANG-MILLS THEORY