Brane-probes response to poly-vector deformations
We probe poly-vector deformations of Type II backgrounds using the fundamental string, D0-brane and D3-brane, and of the 11D membrane background by the fundamental M2-brane. We show that the corresponding deformations of the world-volume theories can be written in terms of flows similar to the $\mathrm{T}\bar{\mathrm{T}}$ flow (for the D3-brane flow --- with a square-root term). This interpretation works equally well for abelian (TsT) and non-abelian deformations.