Type II Double Field Theory in Superspace

Abstract

We explore type II supersymmetric double field theory in superspace. The double supervielbein is an element of the orthosymplectic group OSp(10,10|64), which also governs the structure of generalized superdiffeomorphisms. Unlike bosonic double field theory, the local tangent space must be enhanced from the double Lorentz group in order to eliminate unphysical components of the supervielbein and to define covariant torsion and curvature tensors. This leads to an infinite hierarchy of local tangent space symmetries, which are connected to the super-Maxwell${}_{\infty }$ algebra. A novel feature of type II is the Ramond-Ramond sector, which can be encoded as an orthosymplectic spinor (encoding the complex of super p-forms in conventional superspace). Its covariant field strength bispinor itself appears as a piece of the supervielbein. We provide a concise discussion of the superspace Bianchi identities through dimension two and show how to recover the component supersymmetry transformations of type II DFT. In addition, we show how the democratic formulation of type II superspace may be recovered by gauge-fixing.

arXiv comment60 pages; v2: published version + corrections

References in corpus (46)

• Double Field Theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Background independent action for double field theory
• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• The gauge algebra of double field theory and Courant brackets
• Non-Relativistic Closed String Theory
• Supergravity as Generalised Geometry I: Type II Theories
• $E_{11}$, SL(32) and Central Charges
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Double Field Theory of Type II Strings
• Very-extended Kac-Moody algebras and their interpretation at low levels
• Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory
• N=1 Supersymmetric Double Field Theory
• IIB Supergravity Revisited
• Component Actions from Curved Superspace: Normal Coordinates and Ectoplasm
• Ramond-Ramond Cohomology and O(D,D) T-duality
• SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
• Comments on T-dualities of Ramond-Ramond Potentials
• E11, generalised space-time and IIA string theory
• Generalized gravity from modified DFT
• Beyond E11
• Local $\beta$-deformations and Yang-Baxter sigma model
• On free Lie algebras and particles in electro-magnetic fields
• Remarks on the non-Riemannian sector in Double Field Theory
• Superspace with manifest T-duality from type II superstring
• T-Duality and Ramond-Ramond Backgrounds in the Matrix Model
• A master exceptional field theory
• Non-Riemannian geometry of M-theory
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• String Theory and non-Riemannian Geometry
• Ramond-Ramond gauge fields in superspace with manifest T-duality
• On supersymmetric E11 exceptional field theory
• Natural curvature for manifest T-duality
• Generalised Geometry and type II Supergravity
• Double supergeometry
• Superstring in doubled superspace
• Forms and algebras in (half-)maximal supergravity theories
• Kappa-symmetric SL(2,R) covariant D-brane actions
• Lecture note on Clifford algebra
• Exploring the geometry of supersymmetric double field theory
• Symmetries of M-theory and free Lie superalgebras
• Classification of non-Riemannian doubled-yet-gauged spacetime

Cited by in corpus (3)

• Consistent Truncations and Dualities
• Generalized Dualities and Supergroups
• Gravitational Core of Double Field Theory: Lecture Notes