2025/07/16 by Benjamin A. Burrington, Burrington, Benjamin A., Ida G. Zadeh +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Dynamics and Fractals #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2507.12512
openalex publication_date 2025/07/16 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28
We consider correlation functions in symmetric product orbifold CFTs on the sphere, focusing on the case where all operators are single-cycle twists, and the covering surface is also a sphere. We directly construct the general class of covering space maps where there are three twists of arbitrary lengths, along with any number of twist-2 insertions. These are written as a ratio of sums of Jacobi polynomials with ΔN+1 coefficients bN. These coefficients have a scaling symmetry bN→ λbN, making them naturally valued in \mathbbCPΔN. We explore limits where various ramified points on the cover approach each other, which are understood as crossing channel specific OPE limits, and find that these limits are defined by algebraic varieties of \mathbbCPΔN. We compute the expressions needed to calculate the group element representative correlation functions for bare twists. Specializing to the cases ΔN=1,2, we find closed form for these expressions which define four- and five-point functions of bare twists.