Exact WKB Analysis of $\mathbb{CP}^1$ Holomorphic Blocks
High Energy Physics - Theory
2021-05-12 v3
Abstract
We study holomorphic blocks in the three dimensional gauge theory that describes the model. We apply exact WKB methods to analyze the line operator identities associated to the holomorphic blocks and derive the analytic continuation formulae of the blocks as the twisted mass and FI parameter are varied. The main technical result we utilize is the connection formula for the -hypergeometric function. We show in detail how the -Borel resummation methods reproduce the results obtained previously by using block-integral methods.
Cite
@article{arxiv.1907.05031,
title = {Exact WKB Analysis of $\mathbb{CP}^1$ Holomorphic Blocks},
author = {Sujay K. Ashok and P. N. Bala Subramanian and Aditya Bawane and Dharmesh Jain and Dileep P. Jatkar and Arkajyoti Manna},
journal= {arXiv preprint arXiv:1907.05031},
year = {2021}
}
Comments
29 pages, 5 figures; v2: References added and typos corrected (published version); v3: Few more typos corrected