U-Manifolds

Alok Kumar; Cumrun Vafa

U-Manifolds

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arxiv hep-th/9611007 v2 pith:LGZPJZEP submitted 1996-11-01 hep-th

Alok Kumar , Cumrun Vafa This is my paper · ORCID

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keywords vacuumconstructconstructionsdimensionssupersymmetryf-theoryfindgeneralizes

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We use non-perturbative U-duality symmetries of type II strings to construct new vacuum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the possibilities of new vacuum constructions are very limited. Among them we construct new theories with N=2 supersymmetry in 3-dimensions and (1, 1) supersymmetry in 2-dimensions.

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Cobordism Utopia: U-Dualities, Bordisms, and the Swampland
hep-th 2025-05 conditional novelty 7.0 of 10

For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

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