4 papers
Index from a point
Monica Jinwoo Kang, Craig Lawrie, Jaewon Song
We propose an algebro-geometric interpretation of the Schur and Macdonald indices of four-dimensional superconformal field theories (SCFTs). We conjecture that ther…
Algebro-geometric bootstrapping from OPE decoupling
Monica Jinwoo Kang, Craig Lawrie, Jaewon Song
We conjecture that decoupling relations in the operator product expansion of a 4d superconformal field theory (SCFT) are encoded by an algebro-geometric object: a b…
Macdonald index from 3d TQFT
Heeyeon Kim, Hongseok Kim, Jaewon Song
We propose a new fermionic sum formula for the Macdonald index of a class of Argyres-Douglas theories. The formula arises naturally from a three-dimensional topological field theor…
A Family of Vertex Algebras from Argyres-Douglas Theory
Heeyeon Kim, Jaewon Song
We find that multiple vertex algebras can arise from a single 4d superconformal field theory (SCFT). The connection is given by the BPS monodromy operator , whic…