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arXiv · hep-th/0606245

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

Sergey Fedoruk·Jerzy Lukierski
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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 $P_μ^{m}(τ,σ)$) and the one with tensorial string momenta $P_{[μν]}(τ,σ)$. 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.

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Sergey Fedoruk, Jerzy Lukierski. 2007-01-05. Twistorial versus space--time formulations: unification of various string models. https://doi.org/10.1103/physrevd.75.026004

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