25 citations · 93 across the 17 of their papers we have counts for
17 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…
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 for…
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…
Sheaf Topos Theory: A powerful setting for Lagrangian Field Theory
Grigorios Giotopoulos
We provide an introductory exposition to the sheaf topos theoretic description of classical field theory motivated by the rigorous description of both the variational ca…
The M-algebra completes the hierarchy of Super-Exceptional Tangent Spaces
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
The conjectured symmetries of M-theory famously involve (1.) brane-extended super-symmetry (the M-algebra) and (2.) exceptional duality-symmetry (the -algebra);…
The Hidden M-Group
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
Following arguments that the (hidden) M-algebra serves as the maximal super-exceptional tangent space for 11D supergravity, we make explicit here its integration to a (super-Lie) g…
Super- T-Duality and M-Theory
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
Super -algebras unify extended super-symmetry with rational classifying spaces for higher flux densities: The super-invariant super-fluxes which control super -branes…
Holographic M-Brane Super-Embeddings
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
Over a decade before the modern formulation of AdS/CFT duality, Duff et al. had observed a candidate microscopic explanation by identifying the CFT fields with fluctuations of prob…
Flux Quantization on M5-branes
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
We highlight the need for global completion of the field content in the M5-brane sigma-model analogous to Dirac's charge/flux quantization, and we point out that the superspace Bia…
Flux Quantization on 11-dimensional Superspace
Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
Flux quantization of the C-field in 11d supergravity is arguably necessary for the (UV-)completion of the theory, in that it determines the torsion charges carried by small numbers…
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…
Braided Symmetries in Noncommutative Field Theory
Grigorios Giotopoulos, Richard J. Szabo
We give a pedagogical introduction to -algebras and their uses in organising the symmetries and dynamics of classical field theories, as well as of the conventional nonco…
Braided -Algebras, Braided Field Theory and Noncommutative Gravity
Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović +1
We define a new homotopy algebraic structure, that we call a braided -algebra, and use it to systematically construct a new class of noncommutative field theories, that w…
Homotopy Lie Algebras of Gravity and their Braided Deformations
Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović +1
We describe the cyclic -algebra formulation of classical general relativity without matter fields in the Einstein-Cartan-Palatini formalism. Using Drinfel'd twist defor…
-Algebras of Einstein-Cartan-Palatini Gravity
Marija Dimitrijević Ćirić, Grigorios Giotopoulos, Voja Radovanović +1
We give a detailed account of the cyclic -algebra formulation of general relativity with cosmological constant in the Einstein-Cartan-Palatini formalism on spacetimes of…