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VEV of Q-operator in U(1) linear quiver 4d gauge theories

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Submitted: 2026-07-21
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

Linear quiver N = 2 4d gauge theory in Ω background is considered. It is proved that the partition function in a simple way is related to the expectation values of Baxter’s Q operator (at specific discrete values of the spectral parameter) in the gauge theory with the first node removed. Explicit expressions for the VEV of the Q operator in terms of generalized Apell’s functions are found.

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