Abstract
We study the quantum Seiberg-Witten periods of N=2 superconformal field theories which are obtained by taking the scaling limit of N=2SU(Nc) SQCD around the superconformal fixed point. The quantum Seiberg-Witten curves of these superconformal field theories are shown to be classified into the Schrödinger type and the SQCD type, which depend on flavor symmetry at the fixed point. We study the quantum periods and compute the differential operators which relate the quantum periods to the classical ones up to the fourth-order in the deformation parameter.
Highlights
In the previous papers [31, 32], we have studied the quantum SW curves for the AD theories associated with N = 2 SU(2) SQCD, the (A1, Ar)-type and (A1, Dr)-type AD theories
We will confirm that the quantum SW periods of the AD theories are consistent with the scaling limit of the SU(Nc) SQCD up to fourth-order in
We will check whether the quantum corrections to the quantum periods of the AD theories are consistent with the scaling limit of the those of N = 2 SQCD
Summary
We have calculated the quantum corrections to the SW periods up to the fourth order in the deformation parameter and confirmed that they are consistent with the scaling limit of the quantum periods of the UV theories. The purpose of this paper is to study the quantum SW curve and the quantum SW periods for the AD theories obtained from the scaling limit of N = 2 SU(Nc) SQCD around the superconformal point. These AD theories are basic examples of conformal field theories with various order parameters and flavor symmetries [5, 39]. We will discuss the scaling limit around the superconformal point and the SW curves of the AD theories in detail
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