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Decoding a three-dimensional conformal manifold

Author(s): Baggio, Marco; Bobev, Nikolay; Chester, Shai M; Lauria, Edoardo; Pufu, Silviu S

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Abstract: 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.
Publication Date: Feb-2018
Electronic Publication Date: 9-Feb-2018
Citation: Baggio, Marco, Bobev, Nikolay, Chester, Shai M, Lauria, Edoardo, Pufu, Silviu S. (2018). Decoding a three-dimensional conformal manifold. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP02(2018)062
DOI: doi:10.1007/JHEP02(2018)062
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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