Twistor variational principle for null strings

Abstract

I present a twistor action functional for null 2-surfaces (null strings) in 4D Minkowski spacetime. The proposed formulation is reparametrization invariant and free of algebraic and differential constraints. Proposed approach results in derivation of evolution equations for the null strings. It is shown that non-geodesic null strings are contained in the presented formalism. A discussion of the problem of minimality for 2-surfaces with degenerate induced metric is given. I also speculate on the possible description of strings (time-like 2-surfaces) and conventional (space-like) 2-surfaces.

4 pages, no figures, ReVTeX4b; based on a talk given at SSQFT'2000, to be published in Nucl Phys B Conf Suppl

References in corpus (1)

• Tensionless String in the Notoph Background

Cited by in corpus (8)

• (Super)twistors and (super)strings
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• Supertwistor formulation for higher dimensional superstrings
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Hamiltonian structure and noncommutativity in $p$-brane models with exotic supersymmetry
• Gauge symmetries of strings in supertwistor space
• Canonical description of D=10 superstring formulated in supertwistor space
• Actions for particles and strings and Chern-Simons gravity