A landscape of 4d N=1 SCFTs with a=c

Summary

This study explores the landscape of 4D N=1 superconformal field theories (SCFTs) with a=c, focusing on a specific "seed" theory obtained by gauging three copies of the D(SU(3)) Argyres-Douglas theory with an adjoint-valued chiral multiplet.

Highlights

• The seed theory has a UV description as an SU(3) gauge theory with three copies of D(SU(3)) and an adjoint chiral multiplet.
• The study exhaustively enumerates all possible relevant deformations of the seed theory, finding 21 interacting a=c fixed points.
• The deformations lead to various SCFTs, including some with enhanced N=4 supersymmetry.
• Some deformations result in non-SCFT infrared behaviors, such as free vector multiplets or confining vacua.
• The study uses a-maximization and anomaly cancellation to determine the R-charge of the adjoint chiral multiplet.
• The central charges of the deformed SCFTs are calculated using the R-charge and the scaling dimension of the Coulomb branch operators.
• The study discovers novel dualities among the a=c SCFTs, including some with N=4 supersymmetry.

Key Insights

• The study demonstrates that the landscape of 4D N=1 SCFTs with a=c is rich and diverse, with many possible deformations leading to new fixed points.
• The seed theory used in this study is a simple example of a gauged Argyres-Douglas theory, and the results can be generalized to more complex theories.
• The study highlights the importance of a-maximization and anomaly cancellation in determining the R-charge and central charges of SCFTs.
• The discovery of novel dualities among the a=c SCFTs suggests that there may be a deeper underlying structure to these theories.
• The study provides a framework for exploring the landscape of 4D N=1 SCFTs with a=c, which can be applied to more complex theories in the future.
• The results of this study have implications for our understanding of the behavior of SCFTs under deformation and the properties of their infrared fixed points.
• The study demonstrates the power of using a combination of theoretical tools, including a-maximization and anomaly cancellation, to explore the properties of SCFTs.

Mindmap

Citation

Kang, M. J., Lawrie, C., Lee, K.-H., & Song, J. (2024). A landscape of 4d N=1 SCFTs with a=c (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.17895