55 citations · 242 across the 24 of their papers we have counts for
12 papers · 1 filter
Duality of generalized Maxwell theories as an equivalence in derived geometry
Chris Elliott, Owen Gwilliam, Ingmar Saberi +1
We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synt…
Kodaira-Spencer theory for Courant algebroids
Julian Kupka, Ingmar Saberi, Charles Strickland-Constable +1
Studying Courant algebroids on dg ringed manifolds, we observe that the associated Roytenberg-Weinstein algebra admits a local structure reminiscent of a shifted contact…
Local superconformal algebras
Fabian Hahner, Surya Raghavendran, Ingmar Saberi +1
Given a supermanifold equipped with an odd distribution of maximal dimension and constant symbol, we construct the formal moduli problem of deformations of the distribution. This m…
Eleven-dimensional supergravity as a Calabi-Yau twofold
Fabian Hahner, Ingmar Saberi
We construct a generalization of Poisson-Chern-Simons theory, defined on any supermanifold equipped with an appropriate filtration of the tangent bundle. Our construction recovers…
Six-dimensional supermultiplets from bundles on projective spaces
Fabian Hahner, Simone Noja, Ingmar Saberi +1
The projective variety of square-zero elements in the six-dimensional minimal supersymmetry algebra is isomorphic to . We use this fact, together…
The Derived Pure Spinor Formalism as an Equivalence of Categories
Chris Elliott, Fabian Hahner, Ingmar Saberi
We construct a derived generalization of the pure spinor superfield formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation a…
Twisted eleven-dimensional supergravity
Surya Raghavendran, Ingmar Saberi, Brian R. Williams
We construct a fully interacting holomorphic/topological theory in eleven dimensions that is defined on products of Calabi-Yau fivefolds with real one-manifolds. The theory describ…
Twisting pure spinor superfields, with applications to supergravity
Ingmar Saberi, Brian R. Williams
We study twists of supergravity theories and supersymmetric field theories, using a version of the pure spinor superfield formalism. Our results show that, just as the component fi…
Constraints in the BV formalism: six-dimensional supersymmetry and its twists
Ingmar Saberi, Brian R. Williams
We formulate the abelian six-dimensional theory perturbatively, in a generalization of the Batalin-Vilkovisky formalism. Using this description, we compute the…
Superconformal algebras and holomorphic field theories
Ingmar Saberi, Brian R. Williams
We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The type of higher symmetry algebras w…
Twisted characters and holomorphic symmetries
Ingmar Saberi, Brian R. Williams
We consider holomorphic twists of arbitrary supersymmetric theories in four dimensions. Working in the BV formalism, we rederive classical results characterizing the holomorphic tw…
An introduction to spin systems for mathematicians
Ingmar Saberi
We give a leisurely, albeit woefully incomplete, overview of quantum field theory, its relevance to condensed matter systems, and spin systems, which proceeds via a series of illus…