The Exceptional Sigma Model

Abstract

We detail the construction of the exceptional sigma model, which describes a string propagating in the "extended spacetime" of exceptional field theory. This is to U-duality as the doubled sigma model is to T-duality. Symmetry specifies the Weyl-invariant Lagrangian uniquely and we show how it reduces to the correct 10-dimensional string Lagrangians. We also consider the inclusion of a Fradkin-Tseytlin (or generalised dilaton) coupling as well as a reformulation with dynamical tension.

38 pages + appendices v2: minor changes, published version

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Cited by in corpus (19)

• 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
• A master exceptional field theory
• Non-relativistic duality and $T\bar{T}$ deformations
• Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free
• E${}_{7(7)}$ Exceptional Field Theory in Superspace
• Born sigma model for branes in exceptional geometry
• Type II strings are Exceptional
• Currents, charges and algebras in exceptional generalised geometry
• Open exceptional strings and D-branes
• The different faces of branes in Double Field Theory
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• $\mathbf{O}(D,D)$ completion of the Einstein Field Equations
• Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory
• Classical worldvolumes as generalised geodesics
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Extended Field Theories as higher Kaluza-Klein theories