Twistorial and space-time descriptions of D=4 string models

Sergey Fedoruk, J. Lukierski · arXiv (Cornell University) · 2007

We derive twistorial tensionful bosonic string action by considering on the world sheet the canonical twistorial 2-form in two-twistor space. We demonstrate the equivalence of or model to two known momentum formulations of D=4 bosonic string, with covariant worldsheet vectorial string momenta $P_μ^m(τ,σ)$ and the one with tensorial string momenta $P_{[μν]}(τ,σ)$. All considered here string actions, in twistorial and mixed spinor-spacetime formulations, are classically equivalent to the Nambu-Goto action.

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