Twistor representation of null two-surfaces

Abstract

We present a twistor description for null two-surfaces (null strings) in 4D Minkowski space-time. The Lagrangian density for a variational principle is taken as a surface-forming null bivector. The proposed formulation is reparametrization invariant and free of any algebraic and differential constraints. The spinor formalism of Cartan-Penrose allows us to derive a non-linear evolution equation for the world-sheet coordinate. An example of null two-surface given by the two-dimensional self-intersection (caustic) of a null hypersurface is studied.

13 pages, Revtex4, 2 eps figures, graphicx

References in corpus (2)

• Generic Isolated Horizons and their Applications
• Tensionless String in the Notoph Background

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