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- W1858706738 abstract "We establish a correspondence between toroidal compactifications of M-theory and del Pezzo surfaces. M-theory on T k corresponds to P 2 blown up at k generic points; Type IIB corresponds to P 1 × P 1 . The moduli of compactifications of M-theory on rectangular tori are mapped to Kahler moduli of del Pezzo surfaces. The U-duality group of M-theory corresponds to a group of classical symmetries of the del Pezzo represented by global diffeomorphisms. The 1 -BPS brane charges of M-theory corre- spond to spheres in the del Pezzo, and their tension to the exponentiated volume of the corresponding spheres. The electric/magnetic pairing of branes is determined by the condition that the union of the corresponding spheres represent the anticanonical class of the del Pezzo. The condition that a pair of 1 -BPS states form a bound state is mapped to a condition on the intersection of the corresponding spheres. We present some speculations about the meaning of this duality." @default.
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- W1858706738 date "2001-01-01" @default.
- W1858706738 modified "2023-09-23" @default.
- W1858706738 title "A mysterious duality" @default.
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- W1858706738 doi "https://doi.org/10.4310/atmp.2001.v5.n4.a5" @default.
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