Sharpe, Eric R.Zhang, H.2024-10-282024-10-282024-10-23Journal of High Energy Physics. 2024 Oct 23;2024(10):168https://hdl.handle.net/10919/121405Abstract In this paper, we test and extend a proposal of Gu, Pei, and Zhang for an application of decomposition to three-dimensional theories with one-form symmetries and to quantum K theory. The theories themselves do not decompose, but, OPEs of parallel one-dimensional objects (such as Wilson lines) and dimensional reductions to two dimensions do decompose, sometimes in two independent ways. We apply this to extend conjectures for quantum K theory rings of gerbes (realized by three-dimensional gauge theories with one-form symmetries) via both orbifold partition functions and gauged linear sigma models.application/pdfenCreative Commons Attribution 4.0 InternationalArticle - Refereed2024-10-27The Author(s)https://doi.org/10.1007/JHEP10(2024)168