2025/09/28 by Zhao, Boan, Betzios, Panos, Roehl, Paul Luis
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2509.23902
We show that interval partition functions (transition amplitudes) of three-dimensional N = 2 theories admit factorizations into sums of products of hemisphere partition functions with additional normalization factors. We prove the factorization explicitly for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories. In the former case, we interpret the factorization geometrically in terms of the factorization of equivariant K-theory classes. In the latter case, we prove that hemisphere partition functions are affine characters and determine the normalization factors explicitly in special cases.