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Poisson-Lie T-duality of String Effective Actions: A New Approach to the Dilaton Puzzle

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arxiv 1708.04079 v2 pith:XHBDW3G2 submitted 2017-08-14 hep-th math-phmath.DGmath.MP

classification hep-thmath-phmath.DGmath.MP
keywords poisson-liestringactionsdilatoneffectivet-dualityapproachalgebroids
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For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent. This phenomenon is called the Poisson-Lie T-duality. On the level of the corresponding string effective actions, the situation becomes more complicated due to the presence of the dilaton field. A novel approach to this problem using Levi-Civita connections on Courant algebroids is presented. After the introduction of necessary geometrical tools, formulas for the Poisson-Lie T-dual dilaton fields are derived. This provides a version of Poisson-Lie T-duality for string effective actions.

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Cited by 1 Pith paper

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  1. Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow

    hep-th 2025-02 conditional novelty 6.0 of 10

    Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.

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