Twistor Actions for Self-Dual Supergravities

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dc.creatorMason, Lionel J.
dc.creatorWolf, Martin
dc.date2007-06-13
dc.date2008-11-10
dc.date.accessioned2026-07-07T13:04:27Z
dc.date.available2026-07-07T13:04:27Z
dc.descriptionWe give holomorphic Chern-Simons-like action functionals on supertwistor space for self-dual supergravity theories in four dimensions, dealing with N=0,...,8 supersymmetries, the cases where different parts of the R-symmetry are gauged, and with or without a cosmological constant. The gauge group is formally the group of holomorphic Poisson transformations of supertwistor space where the form of the Poisson structure determines the amount of R-symmetry gauged and the value of the cosmological constant. We give a formulation in terms of a finite deformation of an integrable \dbar-operator on a supertwistor space, i.e., on regions in CP^{3|8}. For N=0, we also give a formulation that does not require the choice of a background.
dc.descriptionv2: 29 pages, substantially revised and rewritten with a clearer and more complete treatment, an extra 8 pages, replaced with version to appear in CMP
dc.identifierhttps://arxiv.org/abs/0706.1941
dc.identifierhttp://arxiv.org/abs/0706.1941
dc.identifierCommun.Math.Phys.288:97-123,2009
dc.identifierdoi:10.1007/s00220-009-0732-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227173
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleTwistor Actions for Self-Dual Supergravities
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