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- W4294568082 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^1times 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 half-BPS brane charges of M-theory correspond 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 half-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.
- W4294568082 created "2022-09-04" @default.
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- W4294568082 date "2001-11-07" @default.
- W4294568082 modified "2023-09-24" @default.
- W4294568082 title "A Mysterious Duality" @default.
- W4294568082 doi "https://doi.org/10.48550/arxiv.hep-th/0111068" @default.
- W4294568082 hasPublicationYear "2001" @default.
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