Two-twistor description of membrane
Jun, 2007Citations per year
Abstract: (arXiv)
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: due to Siegel, with two vectorial fourmomenta, and the formulation with tensorial momenta. 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.- 11.25.-w
- 11.10.Ef
- 11.30.Pb
- twistors
- membrane
- p-branes
- membrane model: p-brane
- any-dimensional
- dimension: 3
- twistor
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