Decoding a three-dimensional conformal manifold
Abstract We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ mode...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)062 |
| Summary: | Abstract We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 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 CP 1. We use the 4 − ε 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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| ISSN: | 1029-8479 |