Factorizations of 3d interval partition functions
Abstract
A bstract We show that interval partition functions (transition amplitudes) of three-dimensional $$ \mathcal{N} $$ N = 2 theories admit factorizations into sums of products of hemisphere partition functions with Wilson loop insertions glued by suitable factors. We prove the factorization explicitly for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories. In the former case, we show that the gluing factors can be naturally interpreted in terms of S 2 × S 1 partition functions. In the latter case, we prove that hemisphere partition functions are affine characters and determine the gluing factors explicitly in special cases.
Fields of Study & Subjects
graph theory and CDMA systems
Coding theory and cryptography
Cellular Automata and Applications
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 8
- Publication date
- 20 August 2026
- Language
- EN