G2 Dualities in D=5 Supergravity and Black Strings

Details G2 Dualities in D=5 Supergravity and Black Strings G2 Dualities in D=5 Supergravity and Black Strings

2009-03-10

arxiv.org/abs/0903.1645v3

Class. Quantum Grav. 26 125016, 2009

Physics

High Energy Physics

High Energy Physics - Theory

typos corrected (26 pages + appendices, 2 figures)

Scientific paper

10.1088/0264-9381/26/12/125016

Five dimensional minimal supergravity dimensionally reduced on two commuting Killing directions gives rise to a G2 coset model. The symmetry group of the coset model can be used to generate new solutions by applying group transformations on a seed solution. We show that on a general solution the generators belonging to the Cartan and nilpotent subalgebras of G2 act as scaling and gauge transformations, respectively. The remaining generators of G2 form a sl(2,R)+sl(2,R) subalgebra that can be used to generate non-trivial charges. We use these generators to generalize the five dimensional Kerr string in a number of ways. In particular, we construct the spinning electric and spinning magnetic black strings of five dimensional minimal supergravity. We analyze physical properties of these black strings and study their thermodynamics. We also explore their relation to black rings.

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