We determine the conditions under which half-maximal matter coupled gauged supergravity
in seven dimensions admits a chiral circle reduction to yield a matter coupled
gauged supergravity in six dimensions with 8 real supersymmetry. Solving these
conditions we nd that the SO(2; 2) and SO(3; 1) gauged 7D supergravities give a
U(1)R, and the SO(2; 1) gauged 7D supergravity gives an Sp(1)R gauged chiral 6D
supergravity coupled to certain matter multiplets. In the 6D models obtained, with
or without gauging, we show that the scalar fields of the matter sector parametrize
the coset SO(p + 1; 4) / SO(p + 1) X SO(4), with the (p + 3) axions corresponding to
its abelian isometries.
We then derive the necessary and sufficient conditions for the existence of a Killing
spinor in N = (1; 0) gauge 6D supergravity coupled to a single tensor multiplet, vector
multiplets and hypermultiplets. We show that these conditions imply most of the eld
equations. We also determine the remaining equations that need to be satised by an
exact solution. In this framework, we nd a novel 1=8 supersymmetric dyonic string
solution with nonvanishing hypermultiplet scalars. The activated scalars parametrize
a 4 dimensional submanifold of a quaternionic hyperbolic ball. The key point is that
we employ an identity map between this submanifold and the internal space transverse
to the string worldsheet, thereby nding a higher dimensional generalization of Gell-
Mann-Zweibach tear-drop solution.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/85874 |
| Date | 10 October 2008 |
| Creators | Jong, Der-Chyn |
| Contributors | Sezgin, Ergin |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Dissertation, text |
| Format | electronic, born digital |
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