15 citations · 22 across the 5 of their papers we have counts for
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Topological Orders in (4+1)-Dimensions
Theo Johnson-Freyd, Matthew Yu
We investigate the Morita equivalences of (4+1)-dimensional topological orders. We show that any (4+1)-dimensional super (fermionic) topological order admits a gapped boundary cond…
Mock modularity and a secondary elliptic genus
Davide Gaiotto, Theo Johnson-Freyd
The theory of Topological Modular Forms suggests the existence of deformation invariants for two-dimensional supersymmetric field theories that are more refined than the standard e…
A Note On Some Minimally Supersymmetric Models In Two Dimensions
D. Gaiotto, T. Johnson-Freyd, E. Witten
We explore the dynamics of a simple class of two-dimensional models with supersymmetry, namely sigma-models with target and the minimal possible set of fields. For an…
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,…
Symmetry Protected Topological phases and Generalized Cohomology
Davide Gaiotto, Theo Johnson-Freyd
We discuss the classification of SPT phases in condensed matter systems. We review Kitaev's argument that SPT phases are classified by a generalized cohomology theory, valued in th…