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 world-sheet vectorial string momenta ${P}_{\ensuremath{\mu}}^{m}(\ensuremath{\tau},\ensuremath{\sigma})$) and the one with tensorial string momenta ${P}_{[\ensuremath{\mu}\ensuremath{\nu}]}(\ensuremath{\tau},\ensuremath{\sigma})$. We show how to obtain in mixed spacetime-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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