12 papers
Higher Superspace Supergravity and its IR-Completions
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
It is an old idea that higher-dimensional super-gravity (SuGra) is put on-shell just by imposing Bianchi identities on super-field strengths over super-spacetimes subject to super-…
Flux Quantization on 10D Type IIA Superspace via Cyclification from 11D
Grigorios Giotopoulos, Hisham Sati
We produce the dimensional reduction to 10D IIA supergravity (SuGra), via cyclification, of the remarkable result that full 11D SuGra is put on shell just by imposing the duality-s…
Covariant Lie Derivatives and (Super-)Gravity
Grigorios Giotopoulos
The slightly subtle notion of covariant Lie derivatives of \textit{bundle-valued} differential forms is crucial in many applications in physics, notably in the computation of conse…
Synthetic Differential Jet Bundles are Reduced
Grigorios Giotopoulos, Igor Khavkine, Hisham Sati +1
We have previously observed that the theory of solutions of partial differential equations, regarded as diffieties inside jet bundles, acquires a powerful comonadic formulation aft…
Field Theory via Higher Geometry II: Thickened Smooth Sets as Synthetic Foundations
Grigorios Giotopoulos, Hisham Sati
This is the second in a series of papers that aim to develop rigorous and most encompassing foundations for field theory, where in the first installment, we laid out the natural fo…
Field Theory via Higher Geometry I: Smooth Sets of Fields
Grigorios Giotopoulos, Hisham Sati
Most modern theoretical considerations of the physical world suggest that nature is: (1) field-theoretic, (2) smooth, (3) local, (4) gauged, (5) containing fermions, and (6) non-pe…