Supergravity on $AdS_{5/4} \times$ Hopf Fibrations and Conformal Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

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13 pages in phyzzx.tex, references added

Scientific paper

10.1142/S0217732300000384

We obtain three and four dimensional conformal field theories with less than maximal supersymmetry by using their supergravity duals. These supergravity theories are type II on $AdS_5 \times CP^2$, IIA on $AdS_4 \times CP^3$, IIB on $AdS_5 \times S^5/Z_k$ and D=11 supergravity on $AdS_4 \times S^7/Z_k$. They are obtained from the spherically compactified ten and eleven dimensional theories by either Hopf reduction or by winding the U(1) fiber over the base.

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