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arXiv · hep-th/0005137

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

M. Cvetic·H. Lu·C. N. Pope·A. Sadrzadeh·T. A. Tran
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Abstract

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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M. Cvetic, H. Lu, C. N. Pope, A. Sadrzadeh, T. A. Tran. 2000-06-12. S^3 and S^4 Reductions of Type IIA Supergravity. https://doi.org/10.1016/s0550-3213(00)00466-1

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