Consistent truncations and dualities

Recent progress in generalised geometry and extended field theories suggests a deep connection between consistent truncations dualities, which is not immediately obvious. A prime example Scherk-Schwarz reductions double theory, have been shown to be one-to-one correspondence with Poisson-Lie T-duality. Here we demonstrate that this relation only the tip of iceberg. Currently, most general known classes T-dualities (excluding mirror symmetry) are based on dressing cosets. But as discuss, they can further even larger class We prove latter give rise for ansatz constructed systematically. Hence, pave way many new examples truncations. The arising structures result covariant tensors more than two derivatives argue how might key understand beyond leading derivative level.