black hole spacetimes | vanishing angular momentum | positive angular momentum |
---|---|---|
vanishing charge | Schwarzschild spacetime | Kerr spacetime |
positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
superalgebra and (synthetic ) supergeometry
Type II supergravity is a supergravity in dimension 10 which is the low-energy effective quantum field theory underlying type II string theory.
See the general references at supergravity.
Construction of type IIA supergravity via KK-compactification from 11d supergravity:
M. Huq, M. A. Namazie, Kaluza-Klein Supergravity In Ten Dimensions, Class. Quantum Grav. 2 (1985) 293 (spire:196711)
Riccardo D'Auria, Pietro Fré, Pietro Grassi, Trigiante, Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds arXiv:0803.1703
Duality-symmetric formulation:
Disucssion of black hole solutions (see also at black holes in string theory) includes
Discussion of black branes and BPS states for type II supergravity includes
Andrew Callister, Douglas Smith, Topological BPS charges in 10 and 11-dimensional supergravity, Phys. Rev. D78:065042,2008 (arXiv:0712.3235)
Andrew Callister, Douglas Smith, Topological charges in covariant massive 11-dimensional and Type IIB SUGRA, Phys.Rev.D80:125035,2009 (arXiv:0907.3614)
Andrew Callister, Topological BPS charges in 10- and 11-dimensional supergravity, thesis 2010 (spire)
A. A. Golubtsova, V.D. Ivashchuk, BPS branes in 10 and 11 dimensional supergravity, talk at DIAS 2013 (pdf slides)
Discussion of asymptotic de Sitter spacetimes from time-dependent KK-compactification of type II supergravity:
reviewed in:
A relation of the U-duality symmetry to generalized complex geometry is discussed in
André Coimbra, Charles Strickland-Constable, Daniel Waldram, Supergravity as Generalised Geometry I: Type II Theories (arXiv:1107.1733)
Paulo Pires Pacheco, Daniel Waldram, M-theory, exceptional generalised geometry and superpotentials (arXiv:0804.1362)
A thesis reviewing some aspects is
On higher curvature corrections:
Discusdion of type IIA and IIB supergravities via double field theory:
and, to the full order in fermions, in
Comprehensive discussion in higher differential geometry:
Luigi Alfonsi, Global Double Field Theory is Higher Kaluza-Klein Theory, Fortsch. d. Phys. 2020 (arXiv:1912.07089, doi:10.1002/prop.202000010)
Luigi Alfonsi, The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective (arXiv:2007.04969)
(relating Kaluza-Klein compactification on principal ∞-bundles to double field theory, T-folds, non-abelian T-duality, type II geometry, exceptional geometry, …)
Last revised on January 12, 2023 at 12:05:28. See the history of this page for a list of all contributions to it.