Two-twistor Description of Membrane

dc.creatorFedoruk, Sergey
dc.creatorLukierski, Jerzy
dc.date2007-06-14
dc.date2007-06-26
dc.date.accessioned2026-07-07T10:56:13Z
dc.date.available2026-07-07T10:56:13Z
dc.descriptionWe 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.
dc.descriptionLaTeX 8 pages, revtex4. V2: 4 references added, minor text corrections
dc.identifierhttps://arxiv.org/abs/0706.2129
dc.identifierhttp://arxiv.org/abs/0706.2129
dc.identifierPhys.Rev.D76:066005,2007
dc.identifierdoi:10.1103/PhysRevD.76.066005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186340
dc.subjectHigh Energy Physics - Theory
dc.titleTwo-twistor Description of Membrane
dc.typetext

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