2022/12/28 by Eric Lescano, Lescano, Eric
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2212.13853
openalex publication_date 2022/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct the \cal N=1 supersymmetric extension of Double Field Theory for Riemannian and the non-Riemannian in a unified approach. The inclusion of fermions in the double geometry force us to use the generalized frame formalism to construct the generalized flux components for these geometries. We focus on the most general prescription required to get the D=10 minimal supergravity model. We study how to consistently avoid the gauge fixing procedure of the double Lorentz symmetry when n= n and 0≤ n ≤ 5, which gives rise to a bigravity structure (pair of vielbeins producing the same non-Riemannian degrees of freedom). As an example we show how to to include fermionic degrees of freedom in the type I torsional Newton-Cartan (TNC) theory (n= n=1) which is related to Carrollian geometries and stringy Newton Cartan through duality rotations and/or null reductions/uplifts.