科研之友
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摘要
We determine the form of all timelike supersymmetric solutions of all N >= 2, d = 4 ungauged supergravities, coupled to vector supermultiplets for N < 4, using the USp((n) over bar, (n) over bar)-symmetric formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears method, while preserving the global symmetries of the theories all the way.
As previously conjectured in the literature, the supersymmetric solutions are always associated to a truncation to an N - 2 theory that may include hypermultiplets, although fields which are eliminated in the truncations can have non-trivial values, as is required by the preservation of the global symmetry of the theories.
The solutions are determined by a number of independent functions, harmonic in transverse space, which is twice the number of vector fields of the theory ((n) over bar). The transverse space is flat if an only if the would-be hyperscalars of the associated N = 2 truncation are trivial.
- 出版日期2010-11
