Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-14
Phys.Rev.D76:066005,2007
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 8 pages, revtex4. V2: 4 references added, minor text corrections
Scientific paper
10.1103/PhysRevD.76.066005
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 $p+1$ vectorial fourmomenta, and the second with tensorial momenta of $(p+1)$-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.
Fedoruk Sergey
Lukierski Jerzy
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