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arXiv · 1712.02698

Decoding a Three-Dimensional Conformal Manifold

Marco Baggio·Nikolay Bobev·Shai M. Chester·Edoardo Lauria·Silviu S. Pufu
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Abstract

We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional $\mathcal{N}=2$ 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 $\mathbf{CP}^1$. We use the $4-\varepsilon$ 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.

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Marco Baggio, Nikolay Bobev, Shai M. Chester, Edoardo Lauria, Silviu S. Pufu. 2017-12-07. Decoding a Three-Dimensional Conformal Manifold. https://doi.org/10.1007/jhep02(2018)062

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