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INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
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An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Physics

Exact WKB analysis of CP1 holomorphic blocks 
 
Thu, Aug 29, 2019,   04:00 PM at Seminar Hall 31, 2nd Floor, Main Building

Prof. Dileep Jatkar
HRI Allahabad

Abstract:

We study holomorphic blocks in the three dimensional N = 2 gauge theory that describes the CP1 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 1F1 q-hypergeometric function. We show in detail how the q-Borel resummation methods reproduce the results obtained previously by using block-integral methods.

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