A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Novel gravity theory on Poisson manifolds with R-flux.
We study a new kind of Courant algebroid on Poisson manifolds, which is a variant of the generalized tangent bundle in the sense that the roles of tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect product of -diffeomorphisms and -transformations. It is a starting point of an alternative…
Unified description of fluxes and T-duality via symplectic manifolds.
It is known that the topological T-duality exchanges and -fluxes. In this paper, we reformulate the topological T-duality as an exchange of two Lie algebroids in the generalized tangent bundle. Then, we apply the same formulation to the Poisson-generalized geometry, which is introduced in arXiv:1408.2649 to defi…
Derives fluxes in M-theory compactifications and connects them to threebrane sigma-models.
We present a ten-dimensional theory, named β-supergravity, that contains non-geometric fluxes and could uplift some four-dimensional gauged supergravities. Building on earlier work, we study here its NSNS sector, where Q- and R-fluxes are precisely identified. Interestingly, the Q-flux is captured in an analogue of the…
The paper connects higher-dimensional mechanics to Lie n-algebroids.
Extends Drinfel'd doubles to include twists and generalizes Lie bialgebroids.