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Abstract
We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N ) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N )-fundamental chiral operators Z i that have no chiral primary in the O(N )-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑ = 1 Z 2 as well as general bounds on SCFTs where ∑ = 1 Z 2 vanishes in the chiral ring.
Highlights
We analyze the conformal bootstrap constraints in theories with four supercharges and a global O(N ) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions
We consider the 4-point function of O(N )-fundamental chiral operators Zi that have no chiral primary in the O(N )-singlet sector of their OPE
We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X
Summary
Consider an N = 2 supersymmetric theory in 3d containing the N + 1 chiral superfields X and Zi N ), and with a superpotential (1.2). The model defined by (1.2) is expected to flow in the IR to an interacting SCFT with an O(N ) × U(1) flavor symmetry and an R-symmetry U(1)R, whose charges are specified in table 1. We will review some of the properties of the CFT data of the model (1.2) that will be used in the numerical analysis of section 3
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