Twistor formulation of the heterotic [ital D]=10 superstring with manifest (8,0) world-sheet supersymmetry

Journal Article · Fri Jan 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.578· OSTI ID:6943358

Delduc, F ^[1]; Galperin, A ^[2]; Howe, P ^[3]; Sokatchev, E ^[4]

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1. Laboratoire de Physique Theorique ENSLAPP, Ecole Normale Superieure Lyon, 46 Allee d'Italie, 69364 Lyon (France)
2. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218 (United States)
3. Department of Mathematics, King's College, London (United Kingdom)
4. Physikalisches Institut, Universitaet Bonn, Nussallee 12, D-5300 Bonn 1 (Germany)

We propose a new formulation of the heterotic [ital D]=10 Green-Schwarz superstring whose world sheet is a superspace with two even and eight odd coordinates. The action is manifestly invariant under both target-space supersymmetry and a world-sheet reparametrization supergroup. It contains only a finite set of auxiliary fields. The key ingredients are the commuting spinor (twistor) variables, which naturally arise as world-sheet superpartners of the target-space Grassmann coordinates. These spinors parametrize the sphere [ital S][sup 8] regarded as a coset space of the [ital D]=10 Lorentz group. The sphere is associated with the lightlike vector of one of the string Virasoro cosntraints. The origin of the on-shell [ital D]=10 fermionic [kappa] symmetry of the standard Green-Schwartz formulation is explained. An essential and unusual feature is the appearance of the string tension only on shell as an integration constant.

• OSTI ID: 6943358
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SPACE-TIME
SPINORS
STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY