An algebraic classification of solution generating techniques

@article{Borsato2021AnAC,
  title={An algebraic classification of solution generating techniques},
  author={Riccardo Borsato and Sibylle Driezen and Falk Hassler},
  journal={Physics Letters B},
  year={2021}
}
We consider a two-fold problem: on the one hand, the classification of a family of solution-generating techniques in (modified) supergravity and, on the other hand, the classification of a family of canonical transformations of 2-dimensional σ-models giving rise to integrable-preserving transformations. Assuming a generalised Scherk-Schwarz ansatz, in fact, the two problems admit essentially the same algebraic formulation, emerging from an underlying double Lie algebra d. After presenting our… Expand
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