Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-18
JHEP 0910:058,2009
Physics
High Energy Physics
High Energy Physics - Theory
58 pages, minor revision: some references added, discussion of first order flow equations extended, remarks on Hamilton-Jacobi
Scientific paper
10.1088/1126-6708/2009/10/058
We find a class of five-dimensional Einstein-Maxwell type Lagrangians which contains the bosonic Lagrangians of vector multiplets as a subclass, and preserves some features of supersymmetry, namely the existence of multi-centered black hole solutions and of attractor equations. Solutions can be expressed in terms of harmonic functions through a set of algebraic equations. The geometry underlying these Lagrangians is characterized by the existence of a Hesse potential and generalizes the very special real geometry of vector multiplets. Our construction proceeds by first obtaining instanton solutions for a class of four-dimensional Euclidean sigma models, which includes those occuring for four-dimensional Euclidean N=2 vector multiplets as a subclass.
Mohaupt Thomas
Waite Kirk
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