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Decoding a three-dimensional conformal manifold
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DOI：10.1007/JHEP02(2018)062.png)
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Abstract
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We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ model and three decoupled copies of the critical Wess-Zumino model. The conformal manifold enjoys a discrete duality group isomorphic to S-4 and can be thought of as an orbifold of CP1. We use the 4-epsilon expansion and the numerical conformal bootstrap to calculate the spectrum of conformal dimensions of low-lying operators and their OPE coefficients, and find a very good quantitative agreement between the two approaches.
Keywords:
Conformal Field Theory
Supersymmetric Gauge Theory
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