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We derive a new classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. The existence of the 11D unbroken supersymmetries for this class of solutions is shown to be equivalent to the existence...
We give an explicit formulation of the three-dimensional SL(4,R)/SO(2,2)σ-model representing the five-dimensional Einstein gravity coupled to the dilaton and the three-form field for spacetimes with two commuting Killing vector fields. New matrix representation is obtained which is similar to one found earlier in the four-dimensional Einstein-Maxwell-Dilaton-Axion (EMDA) theory. The SL(4,R) symmetry...
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