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We present a systematic description of all warped $AdS_n\times_w M^{10-n}$ and ${\mathbb{R}}^{n-1,1}\times_w M^{10-n}$ IIB backgrounds and identify the a priori number of supersymmetries $N$ preserved by these solutions.
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U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, “Systematics of IIB spinorial geometry,” Class. Quant. Grav. 23
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U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, “N=31 is not IIB,” JHEP 0702
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S. Beck, J. Gutowski and G. Papadopoulos, to appear
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