New closed-form charged rotating five-dimensional near-horizon geometries exist with two independent angular momenta and constant co-rotating electric field, characterized by Sasakian structure and matching expected entropy relations without reducing to Myers-Perry.
More on the Similarity between D=5 Simple Supergravity and M Theory
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abstract
It has been known that D=5 simple supergravity resembles D=11 supergravity in many respects. We present their further resemblances in (1) the duality groups upon dimensional reduction, and (2) the worldsheet structure of the solitonic string of the D=5 supergravity. We show that the D=3, G_{2(+2)}/SO(4) (bosonic) nonlinear sigma model is obtained by using Freudenthal's construction in parallel to the derivation of the D=3, E_{8(+8)}/SO(16) sigma model from D=11 supergravity. The zero modes of the string solution with unbroken (4,0) supersymmetry consist of three (non-chiral) scalars, four Majorana-Weyl spinors of the same chirality and one chiral scalar, which suggests a duality to a certain six-dimensional chiral string theory. The worldsheet gravitational anomaly indicates a quantum correction to the Bianchi identity for the dualized two-form gauge field in the bulk just like the M5-brane case.
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Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
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Charged and rotating near-horizon geometries in five dimensions
New closed-form charged rotating five-dimensional near-horizon geometries exist with two independent angular momenta and constant co-rotating electric field, characterized by Sasakian structure and matching expected entropy relations without reducing to Myers-Perry.
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Symmetries of non-maximal supergravities with higher-derivative corrections
Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.