Type II strings are Exceptional

Abstract

We construct the exceptional sigma model: a two-dimensional sigma model coupled to a supergravity background in a manifestly (formally) $E_{D(D)}$-covariant manner. This formulation of the background is provided by Exceptional Field Theory (EFT), which unites the metric and form fields of supergravity in $E_{D(D)}$ multiplets before compactification. The realisation of the local symmetries of EFT on the worldsheet uniquely fixes the Weyl-invariant Lagrangian and allows us to relate our action to the usual type IIA fundamental string action and a form of the type IIB $(m,n)$ action. This uniqueness "predicts" the correct form of the couplings to gauge fields in both Neveu-Schwarz and Ramond sectors, without invoking supersymmetry.

5 pages. V2: minor corrections, refs added

References in corpus (11)

• Double Field Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Exceptional field theory: $SO(5,5)$
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Generalised Kinematics for Double Field Theory
• The Exceptional Sigma Model
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry

Cited by in corpus (11)

• The Geometry, Branes and Applications of Exceptional Field Theory
• A worldsheet supersymmetric Newton-Cartan string
• Remarks on the non-Riemannian sector in Double Field Theory
• Non-Riemannian geometry of M-theory
• The Exceptional Sigma Model
• Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free
• Born sigma model for branes in exceptional geometry
• Open exceptional strings and D-branes
• $\mathbf{O}(D,D)$ completion of the Einstein Field Equations
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields