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Twisted Holography
Kevin Costello, Davide Gaiotto
We derive and test a novel holographic duality in the B-model topological string theory. The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral…
Higgs and Coulomb branches from vertex operator algebras
Kevin Costello, Thomas Creutzig, Davide Gaiotto
We formulate a conjectural relation between the category of line defects in topologically twisted 3d supersymmetric quantum field theories and categories of modules…
Holomorphic SCFTs with small index
Davide Gaiotto, Theo Johnson-Freyd
We observe that every self-dual ternary code determines a holomorphic N=1 superconformal field theory. This provides ternary constructions of some well-known holomorphic N=1 SCFTs,…
Quantum Langlands dualities of boundary conditions, D-modules, and conformal blocks
Edward Frenkel, Davide Gaiotto
We review and extend the vertex algebra framework linking gauge theory constructions and a quantum deformation of the Geometric Langlands Program. The relevant vertex algebras are…
Vertex Operator Algebras and 3d N=4 gauge theories
Kevin Costello, Davide Gaiotto
We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d N=4 gauge theories. We conjecture various relations between these…
Curious Aspects of Three-Dimensional SCFTs
Davide Gaiotto, Zohar Komargodski, Jingxiang Wu
We study the dynamics of certain 3d time reversal invariant theories. Such theories often have exact moduli spaces of supersymmetric vacua. We propose several dualitie…