IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories

Abstract

We show that IIA supergravity can be extended with two independent 10-form potentials. These give rise to a single BPS IIA 9-brane. We investigate the bosonic gauge algebra of both IIA and IIB supergravity in the presence of 10-form potentials and point out an intriguing relation with the symmetry algebra $E_{11}$, which has been conjectured to be the underlying symmetry of string theory/M-theory.

arXiv comment18 pages, section on IIA 9-branes added, references added; version to be published

References in corpus (28)

• Unity of Superstring Dualities
• Evidence for Heterotic - Type I String Duality
• E_11 and M Theory
• Duality of Type II 7-branes and 8-branes
• E10 and a "small tension expansion" of M Theory
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories
• Instantons and seven-branes in type IIB superstring theory
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Duality in Gravity and Higher Spin Gauge Fields
• Very-extended Kac-Moody algebras and their interpretation at low levels
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• Gravitational Duality, Branes and Charges
• The IIA, IIB and eleven dimensional theories and their common E_{11} origin
• Massive Branes
• Kac-Moody Symmetries of IIB Supergravity
• IIB Supergravity Revisited
• E_{11} origin of Brane charges and U-duality multiplets
• Open strings and their symmetry groups
• Type IIB Seven-brane Solutions from Nine-dimensional Domain Walls
• G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
• Massive IIA Supergravity as a Non-linear Realisation
• The Super D9-Brane and its Truncations
• Various Faces of Type IIA Supergravity
• IIB Nine-branes
• E_{11}, ten forms and supergravity
• The Non-Perturbative SO(32) Heterotic String
• Spacetime-Filling Branes in Ten and Nine Dimensions

Cited by in corpus (55)

• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• String Solitons and T-duality
• E(11)-extended spacetime and gauged supergravities
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• SL(2,R)-invariant IIB Brane Actions
• Exceptional generalised geometry for massive IIA and consistent reductions
• Dual fields and E_{11}
• E7(7) formulation of N=2 backgrounds
• K(E10), Supergravity and Fermions
• Counting supersymmetric branes
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• IIA/IIB Supergravity and Ten-forms
• Tensor hierarchies, Borcherds algebras and E11
• The general gaugings of maximal d=9 supergravity
• The tensor hierarchy simplified
• Supersymmetric Domain Walls
• Superalgebras, constraints and partition functions
• E11 must be a symmetry of strings and branes
• A brief review of E theory
• On the E10/Massive Type IIA Supergravity Correspondence
• Local E(11)
• Branes, Weights and Central Charges
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• Super-Ehlers in Any Dimension
• Forms and algebras in (half-)maximal supergravity theories
• Domain walls and instantons in N=1, d=4 supergravity
• Dual Gravity and Matter
• Maximal supergravity in D=10: forms, Borcherds algebras and superspace cohomology
• Duality Symmetries and G^{+++} Theories
• Kappa-symmetric SL(2,R) covariant D-brane actions
• $E_{11}$, Borcherds algebras and maximal supergravity
• Stringy cosmic strings in matter coupled N=2, d=4 supergravity
• Supersymmetric geometries of IIA supergravity I
• Non-propagating degrees of freedom in supergravity and very extended G_2
• Local E(11) and the gauging of the trombone symmetry
• Wrapping rules (in) string theory
• Dynamical symmetry enhancement near massive IIA horizons
• Heterotic-Type II duality and wrapping rules
• Towards a classification of branes in theories with eight supercharges
• Supersymmetric geometries of IIA supergravity III
• Real weights, bound states and duality orbits
• Supersymmetric geometries of IIA supergravity II
• On the underlying E11 symmetry of the D=11 Free Differential Algebra
• Notophs of N = 8 supergravity
• Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA
• Topological BPS charges in 10 and 11-dimensional supergravity
• TCFHs, hidden symmetries and type II theories
• Non-geometric orbifolds and wrapping rules
• The very-extended trombone
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Unifying R-symmetry in M-theory
• Duality rules for more mixed-symmetry potentials
• Gaugings and other aspects in supergravity
• Branes and Polytopes