Twistorial versus space--time formulations: unification of various string models

Abstract

We introduce the D=4 twistorial tensionfull bosonic string by considering the canonical twistorial 2--form in two--twistor space. We demonstrate its equivalence to two bosonic string models: due to Siegel (with covariant worldsheet vectorial string momenta $P_{\mu }^m(\tau ,\sigma )$) and the one with tensorial string momenta $P_{[\mu \nu ]}(\tau ,\sigma )$. We show how to obtain in mixed space-time--twistor formulation the Soroka--Sorokin--Tkach--Volkov (SSTV) string model and subsequently by harmonic gauge fixing the Bandos--Zheltukhin (BZ) model, with constrained spinorial coordinates.

RevTex4,APS, 4 pages. The version which appears in Phys. Rev. D

References in corpus (3)

• Untwisting the twistor superstring
• Superspace formulations of the (super)twistor string
• (Super)twistors and (super)strings

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