Twistor Actions for Self-Dual Supergravities |
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Authors: | Lionel J. Mason and Martin Wolf |
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Affiliation: | (1) The Mathematical Institute, University of Oxford, 24–29 St. Giles, Oxford, OX1 3LP, United Kingdom;(2) Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom |
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Abstract: | We give holomorphic Chern-Simons-like action functionals on supertwistor space for self-dual supergravity theories in four dimensions, dealing with 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 -operator on a supertwistor space, i.e., on regions in . For , we also give a formulation that does not require the choice of a background. |
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