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Twistor formulation of the heteroticD=10superstring with manifest (8,0) world-sheet supersymmetry

1992/07/14 by F. Delduc, A. Galperin, Paul Howe +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Heterotic string theory #Homogeneous space #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Spinor #Superspace #Superstring theory #Supersymmetry #Twistor theory #hep-th

paper · pdf · doi:10.1103/physrevd.47.578

published as Phys.Rev.D47:578-593,1993 · 29 pages, LATEX file, BONN-HE-92-19, JHU-TIPAC-920018, ENSLAPP-L-392-92

arxiv created 1992/07/14 · openalex publication_date 1993/01/15 · arxiv updated 2011/05/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a new formulation of the heterotic 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 S8 regarded as a coset space of the D=10 Lorentz group. The sphere is associated with the lightlike vector of one of the string Virasoro constraints. The origin of the on-shell D=10 fermionic \ensuremathκ symmetry of the standard Green-Schwarz formulation is explained. An essential and unusual feature is the appearance of the string tension only on shell as an integration constant.

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