Duality Invariance and Higher Derivatives

Abstract

We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a $d$-dimensional torus including all higher-derivative corrections to first order in ${\alpha }^{\prime }$. A systematic procedure is developed that brings this action into a minimal form in which all fields except the metric carry only first order derivatives. This action is shown to be invariant under $\mathrm{O}(d,d,\mathbb{R})$ transformations that acquire ${\alpha }^{\prime }$-corrections through a Green-Schwarz type mechanism. We prove that, up to a global pre-factor, the first order ${\alpha }^{\prime }$-corrections are uniquely determined by $\mathrm{O}(d,d,\mathbb{R})$ invariance.

arXiv comment41 pages. v2: references added, minor changes

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Cited by in corpus (31)

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• Electromagnetic Quasitopological Gravities
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• 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'
• Duality and Supersymmetry Constraints on the Weak Gravity Conjecture
• Higher Derivative Supergravities in Diverse Dimensions
• Duality-invariant extensions of Einstein-Maxwell theory
• The generalized Bergshoeff-de Roo identification II
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• ${\alpha }^{\prime }$-corrections and their double formulation
• Background independence of effective actions at critical dimension
• Derive Lovelock Gravity from String Theory in Cosmological Background
• Consistent truncations in higher derivative supergravity
• Old Dualities and New Anomalies
• Higher-derivative field redefinitions in the presence of boundary
• Beta functions for the duality-invariant sigma model
• Higher-derivative couplings and torsional Riemann curvature
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• Gauged Double Field Theory, Current Algebras and Heterotic Sigma Models
• Dimensional reduction of higher derivative heterotic supergravity
• Higher derivative couplings of hypermultiplets
• Higher-derivative Heterotic Kerr-Sen Black Holes
• 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
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• What U Can Do: New Solutions and New Challenges Beyond Leading Order
• Universal Box Operator: $\mathbf{O}(D,D)$-Symmetry and ${\alpha }^{\prime }$-Corrections