The Odd story of ${\alpha }^{\prime }$-corrections

Abstract

The ${\alpha }^{\prime }$-deformed frame-like Double Field Theory (DFT) is a T-duality and gauge invariant extension of DFT in which generalized Green-Schwarz transformations provide a gauge principle that fixes the higher-derivative corrections. It includes all the first order ${\alpha }^{\prime }$-corrections of the bosonic and heterotic string low energy effective actions and of the Hohm-Siegel-Zwiebach ${\alpha }^{\prime }$-geometry. Here we gauge this theory and parameterize it in terms of a frame, a two-form, a dilaton, gauge vectors and scalar fields. This leads to a unified framework that extends the previous construction by including all duality constrained interactions in generic (gauged/super)gravity effective field theories in arbitrary number of dimensions, to first order in ${\alpha }^{\prime }$.

52 pages

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Cited by in corpus (56)

• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• The Geometry, Branes and Applications of Exceptional Field Theory
• O$(d,d)$ covariant String Cosmology to all orders in ${\alpha }^{\prime }$
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• Electromagnetic Quasitopological Gravities
• Quantum correction to generalized T-dualities
• Duality Invariance and Higher Derivatives
• A new twist on heterotic string compactifications
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• ${\alpha }^{\prime }$-corrected Poisson-Lie T-duality
• String Dualities at Order ${\alpha }^{\prime 3}$
• T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in ${\alpha }^{\prime }$
• Generalized Dualities and Higher Derivatives
• O(n,n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in alpha'
• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• $R^4$ terms in supergravities via T-duality constraint
• Higher Derivative Supergravities in Diverse Dimensions
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• $\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
• Minimal independent couplings at order ${\alpha }^{\prime 2}$
• Duality-invariant extensions of Einstein-Maxwell theory
• The first ${\alpha }^{\prime }$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$
• Cosmology at the top of the ${\alpha }^{\prime }$ tower
• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• The generalized Bergshoeff-de Roo identification II
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Green-Schwarz Mechanism for String Dualities
• Background independence of effective actions at critical dimension
• ${\alpha }^{\prime }$-corrections and their double formulation
• The $\beta$-symmetry of supergravity
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Relaxing unimodularity for Yang-Baxter deformed strings
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Old Dualities and New Anomalies
• Non-extremal, ${\alpha }^{\prime }$-corrected black holes in 5-dimensional Heterotic Superstring Theory
• The bosonic string on string-size tori from double field theory
• The ${\alpha }^{\prime 2}$ correction from double field theory
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• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• Deformed Weitzenböck Connections and Double Field Theory
• Dimensional reduction of higher derivative heterotic supergravity
• $O(D,D)$-constraint on $D$-dimensional effective actions
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Six-Derivative Yang-Mills Couplings in Heterotic String Theory
• Rounding out the story of higher derivative consistent truncations
• Duality invariant string beta functions at two loops
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• The Duality Symmetric String at Two-loops
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Duality covariant field redefinitions
• Exotic Aspects of Extended Field Theories
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings
• What U Can Do: New Solutions and New Challenges Beyond Leading Order