Canonical supermultiplets and their Koszul duals

Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Spinor and twistor methods applied to problems in quantum theory (81R25) Cohomology of Lie (super)algebras (17B56)

Cites Work

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Oxidizing Borcherds symmetries
$E_{11}$, Borcherds algebras and maximal supergravity
The Berkovits complex and semi-free extensions of Koszul algebras
Towards a manifestly supersymmetric action for 11-dimensional supergravity
Superfield actions for $N = 8$ and $N = 6$ conformal theories in three dimensions
$N = 8$ superfield formulation of the Bagger-Lambert-Gustavsson model
Spencer cohomology and 11-dimensional supergravity
Homology of Noetherian rings and local rings
Automorphic forms and Lie superalgebras
A universal enveloping for $L_\infty$-algebras.
$L_\infty $ structures on mapping cones
Homological algebra and divergent series
Koszul duality for operads
On maximally supersymmetric Yang-Mills theories
Über die Theorie der algebraischen Formen.
Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities.
Pure spinor superspace action for $D$ = 6, $N$ = 1 super-Yang-Mills theory
Extended geometries
Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras
Supersymmetric deformations of maximally supersymmetric gauge theories
A character formula for generalized Kac-Moody superalgebras
A generalization of Borcherds algebra and denominator formula
Superspace formulation of exotic supergravities in six dimensions
Tensor hierarchy algebra extensions of over-extended Kac-Moody algebras
Teleparallelism in the algebraic approach to extended geometry
Perspectives on the pure spinor superfield formalism
Tensor hierarchy algebras and extended geometry. I: Construction of the algebra
Tensor hierarchy algebras and extended geometry. II: Gauge structure and dynamics
Pure spinor superfields and Born-Infeld theory
The geometry of pure spinor space
Symmetries of M-theory and free Lie superalgebras
$L_{\infty}$ algebras for extended geometry from Borcherds superalgebras
The character of pure spinors
Hopf algebras with divided powers
Forms and algebras in (half-)maximal supergravity theories
Superalgebras, constraints and partition functions
Nilpotence varieties
D = 11 SUPERGRAVITY WITH MANIFEST SUPERSYMMETRY
Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
Eleven-dimensional supergravity from filtered subdeformations of the Poincaré superalgebra
Koszul duality and equivalences of categories
Free Lie Subalgebras of the Cohomology of Local Rings
THE STRUCTURE OF THE CANONICAL MODULE AND THE GORENSTEIN PROPERTY FOR SOME QUASIHOMOGENEOUS VARIETIES
Differential perturbations and $ D_\infty$-differential modules
Koszul Duality Patterns in Representation Theory
Factorization Algebras in Quantum Field Theory
Generators and relations for Lie superalgebras of Cartan type
The tensor hierarchy algebra
The tensor hierarchy simplified
Algebraic Structure of Yang-Mills Theory
Koszul Resolutions
Algebraic Operads
Super-Poincaré covariant quantization of the superstring
An Off‐Shell Superspace Reformulation of D = 4, N = 4 Super‐Yang–Mills Theory
SL(5) Supersymmetry
A Minimal b Ghost
The teleparallel complex