nLab type II supergravity

Idea

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

Related concepts

• massive type IIA supergravity

• type II supergravity Lie 2-algebra

• type II geometry, generalized complex geometry

• T-duality, double field theory

• 11-dimensional supergravity

• heterotic supergravity,

• 7-dimensional supergravity

• 5-dimensional supergravity

• 4-dimensional supergravity

• 3-dimensional supergravity

• duality between M-theory and type IIA string theory

• string theory FAQ – Does string theory predict supersymmetry?

References

General

See the general references at supergravity.

• Joseph Polchinski, chapter 12.1 of String Theory Vol 2: Superstring and beyond

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:

• Igor Bandos, Alexei Nurmagambetov, Dmitri Sorokin, Various Faces of Type IIA Supergravity, Nucl. Phys. B676 (2004) 189-228 (arXiv:hep-th/0307153)

Solutions and BPS states

Disucssion of black hole solutions (see also at black holes in string theory) includes

• U. Gran, Jan Gutowski, George Papadopoulos, IIB black hole horizons with five-form flux and extended supersymmetry, JHEP 1109:047,2011 (arXiv:1104.2908)

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

• Paul Marconnet, Dimitrios Tsimpis, Universal accelerating cosmologies from 10d supergravity, J. High Energ. Phys. 2023 33 (2023) [arXiv:2210.10813, doi:10.1007/JHEP01(2023)033]

reviewed in:

• Dimitrios Tsimpis, Universal accelerating cosmologies from 10d supergravity, talk at M-Theory and Mathematics 2023, NYU Abu Dhabi (Jan 2023) [web]

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:

• James Liu, Ruben Minasian, Raffaele Savelli, Andreas Schachner, Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles $[$arXiv:2205.11530$]$

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:

• 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, …)