3 papers
hep-th2025
WZW Partition Functions from Supersymmetric Localization
Boan Zhao
We prove a conjecture of Murthy and Witten which expresses diagonal modular invariant WZW partition functions as lattice sums.
hep-th2025
Sinh Deformed Nakajima Operators
Boan Zhao, Paul Luis Roehl, Chunhao Li
We prove a novel action of the (three-dimensional) Heisenberg algebra on the equivariant K-theory of the Hilbert scheme of points on C2. These operators are defined via pushforward…
hep-th2025
Factorizations of 3d Interval Partition Functions
Boan Zhao, Panos Betzios, Paul Luis Roehl
We show that interval partition functions (transition amplitudes) of three- dimensional theories admit factorizations into sums of products of hemisphere partitio…