https://neckpinch.com/authors/nicolo-brizio/New arXiv papers by Nicolò Brizio, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2408.06031/arxiv:2408.06031Mon, 12 Aug 2024 00:00:00 GMTNicolò Brizio, Tommaso Morone, Roberto Tateo — This paper reviews and extends the recently discovered connections between marginal and irrelevant stress-energy tensor deformations and gravity theories in arbitrary space-time dimensions. We start by discussing how TT and Root-TT deformations of two-dimensional field theories can be equivalently interpreted as the coupling of the undeformed matter sector to a gravity theory. We then extend this duality to higher-dimensional scenarios by using an approach that relies on the non-trivial eigenvalue degeneracy characterising the energy-momentum tensor of specific physical theories. We also explore incorporating dynamical degrees of freedom in the gravity sector, and show that the deformed space-time geometry induced by the TT-like deformations defines a Ricci-Bourguignon flow of the metric tensor, which reduces to a Ricci flow in four dimensions. Finally, exploiting a dressing-type mechanism for the action functional characterizing a broad class of TT-like deformations we study explicit examples, such as Einstein-Ricci solitons, (d-1)-form field theories, and spherically symmetric electrovacuum solutions.Ricci flowRicci solitonsSurfacesRotational symmetry & warped productsEigenvalues & spectrumPhysics