0000000000583523

AUTHOR

V. S. Varadarajan

showing 2 related works from this author

Spinor algebras

2000

We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar\'e and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra naturally associated to the spin group. This algebra, the Spin$(s,t)$-algebra, depends both on the dimension and on the signature of space time. We also consider maximal super conformal algebras, which are classified by the orthosymplectic algebras.

High Energy Physics - TheoryPhysicsPure mathematicsSpin groupSpinorSpace timeFOS: Physical sciencesGeneral Physics and AstronomyConformal mapSupersymmetrysymbols.namesakeHigh Energy Physics - Theory (hep-th)Dimension (vector space)Poincaré conjecturesymbolsÀlgebraGeometry and TopologySignature (topology)Particle Physics - TheoryMathematical PhysicsJournal of Geometry and Physics
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SU(2) Poisson-Lie T-duality

1998

Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the pair of sigma models defined by the double SO(3,1) in the Iwasawa decomposition.

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