55 citations · 242 across the 24 of their papers we have counts for
28 papers
Kodaira-Spencer theory for flux backgrounds
Caleb Jonker, Julian Kupka, Ingmar Saberi +2
We give an explicit description (in component fields) of a holomorphic theory associated to a general supersymmetric background of supergravity in ten dimensions. Co…
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…
Canonical supermultiplets and their Koszul duals
Martin Cederwall, Simon Jonsson, Jakob Palmkvist +1
The pure spinor superfield formalism reveals that, in any dimension and with any amount of supersymmetry, one particular supermultiplet is distinguished from all others. This "cano…
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…
Branes and DAHA Representations
Sergei Gukov, Peter Koroteev, Satoshi Nawata +2
Using brane quantization, we study the representation theory of the spherical double affine Hecke algebra of type in terms of the topological A-model on the moduli space of f…
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…
Perspectives on the pure spinor superfield formalism
Richard Eager, Fabian Hahner, Ingmar Saberi +1
In this note, we study, formalize, and generalize the pure spinor superfield formalism from a rather nontraditional perspective. To set the stage, we review the notion of a multipl…
Holomorphic boundary conditions for topological field theories via branes in twisted supergravity
Ilka Brunner, Ioannis Lavdas, Ingmar Saberi
Three-dimensional supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve supersymmetry. While…
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…
Nonarchimedean Holographic Entropy from Networks of Perfect Tensors
Matthew Heydeman, Matilde Marcolli, Sarthak Parikh +1
We consider a class of holographic quantum error-correcting codes, built from perfect tensors in network configurations dual to Bruhat-Tits trees and their quotients by Schottky gr…
Nilpotence varieties
Richard Eager, Ingmar Saberi, Johannes Walcher
We consider algebraic varieties canonically associated to any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nil…
Holomorphic field theories and Calabi--Yau algebras
Richard Eager, Ingmar Saberi
We consider the holomorphic twist of the worldvolume theory of flat D-branes transversely probing a Calabi--Yau manifold. A chain complex, constructed using the BV formalis…
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…
Holography and local fields
Ingmar Saberi
This paper, which is a summary (in which considerable creative license has been taken) of the author's talk at the sixth international conference on -adic mathematical physics a…
Signs of the time: Melonic theories over diverse number systems
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +4
Melonic field theories are defined over the -adic numbers with the help of a sign character. Our construction works over the reals as well as the -adics, and it includes the…
Edge length dynamics on graphs with applications to -adic AdS/CFT
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +5
We formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discre…
Tensor networks, -adic fields, and algebraic curves: arithmetic and the AdS/CFT correspondence
Matthew Heydeman, Matilde Marcolli, Ingmar Saberi +1
One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algeb…