S^3 and S^4 Reductions of Type IIA Supergravity

Details S^3 and S^4 Reductions of Type IIA Supergravity S^3 and S^4 Reductions of Type IIA Supergravity

2000-05-15

arxiv.org/abs/hep-th/0005137v2

Nucl.Phys.B590:233-251,2000

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 21 pages, references added

Scientific paper

10.1016/S0550-3213(00)00466-1

We construct a consistent reduction of type IIA supergravity on S^3, leading to a maximal gauged supergravity in seven dimensions with the full set of massless SO(4) Yang-Mills fields. We do this by starting with the known S^4 reduction of eleven-dimensional supergravity, and showing that it is possible to take a singular limit of the resulting standard SO(5)-gauged maximal supergravity in seven dimensions, whose eleven-dimensional interpretation involves taking a limit where the internal 4-sphere degenerates to RxS^3. This allows us to reinterpret the limiting SO(4)-gauged theory in seven dimensions as the S^3 reduction of type IIA supergravity. We also obtain the consistent S^4 reduction of type IIA supergravity, which gives an SO(5)-gauged maximal supergravity in D=6.

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