Year: 2007
Type: article
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: one with $p+1$ vectorial momenta, and the second with tensorial momenta of $(p+1)$-th rank. Further, we consider the tensionful membrane case in $D=4$. By using the membrane generalization of the Cartan-Penrose formula, we express the four-momenta by spinorial fields and obtain the intermediate spinor-space-time formulation. By expressing the world volume 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.
Authors: Sergey Fedoruk, Jerzy Lukierski
Institutions: Joint Institute for Nuclear Research, University of Wrocław
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2052401082