Generalised geometry for string corrections

Abstract

We present a general formalism for incorporating the string corrections in generalised geometry, which necessitates the extension of the generalised tangent bundle. Not only are such extensions obstructed, string symmetries and the existence of a well-defined effective action require a precise choice of the (generalised) connection. The action takes a universal form given by a generalised Lichnerowitz--Bismut theorem. As examples of this construction we discuss the corrections linear in ${\alpha }^{\prime }$ in heterotic strings and the absence of such corrections for type II theories.

49 pages, minor corrections, updated references

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Cited by in corpus (76)

• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
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• Kerr-Schild Double Field Theory and Classical Double Copy
• Heterotic Effective Action and Duality Symmetries Revisited
• Heterotic $\alpha$'-corrections in Double Field Theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Half-maximal supersymmetry from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Loops in exceptional field theory
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• Connections, Field Redefinitions and Heterotic Supergravity
• A new twist on heterotic string compactifications
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Supersymmetric Backgrounds and Generalised Special Holonomy
• Second order higher-derivative corrections in Double Field Theory
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• The infinitesimal moduli space of heterotic $G_2$ systems
• Generalized Dualities and Higher Derivatives
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
• Double Metric, Generalized Metric and ${\alpha }^{\prime }$-Geometry
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Kaluza-Klein reduction on a maximally non-Riemannian space is moduli-free
• Enhanced gauge symmetry and winding modes in Double Field Theory
• Lectures on the Strominger system
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• The generalized Bergshoeff-de Roo identification II
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• On the exceptional generalised Lie derivative for $d\ge 7$
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Democratic actions for type II supergravities
• Heterotic Quantum Cohomology
• ${\alpha }^{\prime }$-corrections and their double formulation
• On Heterotic Vacua with Fermionic Expectation Values
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• New gaugings and non-geometry
• Extended Riemannian Geometry II: Local Heterotic Double Field Theory
• Probing the String Winding Sector
• Heterotic Reduction of Courant Algebroid Connections and Einstein-Hilbert Actions
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• T-duality, Non-geometry and Lie Algebroids in Heterotic Double Field Theory
• The bosonic string on string-size tori from double field theory
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• The ${\alpha }^{\prime 2}$ correction from double field theory
• String theory at order ${\alpha }^{\prime 2}$ and the generalized Bergshoeff-de Roo identification
• Supersymmetric AdS backgrounds and weak generalised holonomy
• Gauge symmetry enhancing-breaking from a Double Field Theory perspective
• Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures
• Non-geometric Five-branes in Heterotic Supergravity
• Deformed Weitzenböck Connections and Double Field Theory
• Kaluza-Klein Reduction of Low-Energy Effective Actions: Geometrical Approach
• Supergravity without gravity and its BV formulation
• Topological G${}_2$ and Spin(7) strings at 1-loop from double complexes
• Supersymmetric branes and instantons on curved spaces
• Higher fermions in supergravity
• String Corrected Spacetimes and SU(N)-Structure Manifolds
• Strings, Branes and the Self-dual Solutions of Exceptional Field Theory
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Higher curvature Bianchi identities, generalised geometry and $L_{\infty }$ algebras
• Extended Doubled Structures of Algebroids for Gauged Double Field Theory
• Generalised Geometry and Flux Vacua
• Dissections and automorphisms of regular Courant algebroids
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Supergravity Fluxes and Generalised Geometry
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• The Duality Symmetric String at Two-loops
• Self-dual generalized metrics for pure $\mathcal{N}=1$ six-dimensional Supergravity
• Duality Covariant Solutions in Extended Field Theories
• Flux Backgrounds and Exceptional Generalised Geometry
• Exotic Aspects of Extended Field Theories
• Heterotic solitons on four-manifolds