${\alpha }^{\prime }$-corrected Poisson-Lie T-duality

Abstract

We propose leading order ${\alpha }^{\prime }$-corrections to the Poisson-Lie T-duality transformation rules of the metric, $B$-field, and dilaton. Based on Double Field Theory, whose corrections to this order are known, we argue that they map conformal field theories to conformal field theories. Remarkably, Born geometry plays a central role in the construction.

arXiv comment5 pages

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Cited by in corpus (24)

• Integrable Deformations of Sigma Models
• E${}_{6(6)}$ Exceptional Drinfel'd Algebras
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• The generalized Bergshoeff-de Roo identification II
• RG flow of integrable $\mathcal{E}$-models
• ${\alpha }^{\prime }$-corrections and their double formulation
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Consistent Truncations and Dualities
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• The ${\alpha }^{\prime 2}$ correction from double field theory
• Dual description of $\eta$-deformed OSP sigma models
• The twisted story of worldsheet scattering in $\eta$-deformed $Ad{S}_5\times S^5$
• Jacobi-Lie T-plurality
• Type IIA embeddings of $D=5$ minimal gauged supergravity via Non-Abelian T-duality
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• T-duality and T-folds for point particles
• On 10 dimensional Exceptional Drinfel'd Algebras
• Integrability structures in string theory
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• Poisson-Lie T-duality defects and target space fusion
• An Algebraic Classification of Solution Generating Techniques
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Duality covariant field redefinitions