nLab type II supergravity




String theory




Type II supergravity is a supergravity in dimension 10 which is the low-energy effective quantum field theory underlying type II string theory.



Original constructions (mostly of type IIA):

See also the general references at supergravity.

Construction of type IIA supergravity via KK-compactification from 11d supergravity:

Explicit self-dual formulations

Discussion of (Lagrangian densities for) D=10 type II supergravity with “duality-symmetric”/“democratic”/“pregeometric” for of the RR-fields:

Enhancement of the self-duality constraint on pregeometric RR-fields from (twisted) de Rham cohomology to (twisted) topological K-theory (under the hypothesized K-theory classification of D-brane charge) in terms of a quadratic form on differential K-theory:

An indication of a more refined discussion in twisted differential KR-theory:

See at orientifold for more on this.

Expressing the self-duality of pregeometric RR-fields in terms of 11d Chern-Simons theory:

Some review:

  • Richard Szabo, section 3.6 and 4.6 of: Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology, ESI 2385 (2012) [[arXiv:1209.2530, pdf]]

Discussion in the context of flux quantization (here: D-brane charge quantization in K-theory):

Solutions and BPS states

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 SL(2,)SL(2,\mathbb{R}) 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:

In terms of (exceptional) generalized complex geometry

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

  • Nicholas Houston, Supergravity and Generalized Geometry Thesis (2010) (pdf)

Higher curvature corrections

On higher curvature corrections:

Via double field theory

Discusdion of type IIA and IIB supergravities via double field theory:

  • Olaf Hohm, Seung Ki Kwak, Barton Zwiebach, Unification of Type II Strings and T-duality (arXiv:1106.5452)

and, to the full order in fermions, in

  • Imtak Jeon, Kanghoon Lee, Jeong-Hyuck Park, Yoonji Suh, Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory (arxiv:1210.5078)

Comprehensive discussion in higher differential geometry:

Last revised on December 21, 2023 at 17:53:41. See the history of this page for a list of all contributions to it.