Generalized dualities and higher derivatives. (English) Zbl 1456.83093
Summary: Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local \(O(d,d)\) transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized dualities. Our main result is a unified expression that can be easily specified to any generalized T-duality (abelian, non-abelian, Poisson-Lie, etc.) or deformations such as Yang-Baxter, in any of the theories captured by the bi-parametric deformation (bosonic, heterotic strings and HSZ theory), in any supergravity scheme related by field redefinitions. The prescription allows further extensions to higher orders. As a check we recover some previously known particular examples.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 83E50 | Supergravity |
| 81T33 | Dimensional compactification in quantum field theory |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 17B38 | Yang-Baxter equations and Rota-Baxter operators |
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