Two-twistor Description of Membrane
Abstract
We describe D=4 twistorial membrane in terms of two twistorial three-dimensional world volume fields. We start with the D-dimensional p-brane generalizations of two phase space string formulations: the one with vectorial fourmomenta, and the second with tensorial momenta of -th rank. Further we consider tensionful membrane case in D=4. By using the membrane generalization of Cartan-Penrose formula we express the fourmomenta by spinorial fields and obtain the intermediate spinor-space-time formulation. Further by expressing the worldvolume dreibein and the membrane space-time coordinate fields in terms of two twistor fields one obtains the purely twistorial formulation. It appears that the action is generated by a geometric three-form on two-twistor space. Finally we comment on higher-dimensional (D>4) twistorial p-brane models and their superextensions.
Keywords
Cite
@article{arxiv.0706.2129,
title = {Two-twistor Description of Membrane},
author = {Sergey Fedoruk and Jerzy Lukierski},
journal= {arXiv preprint arXiv:0706.2129},
year = {2008}
}