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

Abstract

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 $P_{\mu }^m(\tau ,\sigma )$ and the one with tensorial string momenta $P_{[\mu \nu ]}(\tau ,\sigma )$. All considered here string actions, in twistorial and mixed spinor-spacetime formulations, are classically equivalent to the Nambu-Goto action.

9 pages, talk given by S. Fedoruk at the XXII Max Born Symposium, Wroclaw, Poland, September 27 - 29, 2006; to be published in the Proceedings