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

Summary

This paper explores the landscape of 4d N=1 superconformal field theories (SCFTs) with a=c, focusing on the gauged Argyres-Douglas theory. The authors analyze various superpotential deformations, identifying 21 interacting a=c fixed points and discovering novel dualities.

Highlights

• The gauged Argyres-Douglas theory is used as a starting point to explore the landscape of 4d N=1 SCFTs with a=c.
• 21 interacting a=c fixed points are identified through superpotential deformations.
• Novel dualities are discovered among the a=c fixed points.
• The deformations of N=4 super-Yang-Mills are discussed.
• The two-adjoint theory is found to be an endpoint in the a=c landscape.
• Mixed anomalies between the zero-form and one-form symmetries are used to constrain the infrared behavior.

Key Insights

• The gauged Argyres-Douglas theory provides a rich starting point for exploring the landscape of 4d N=1 SCFTs with a=c, allowing for the identification of 21 interacting a=c fixed points.
• The analysis of superpotential deformations reveals novel dualities among the a=c fixed points, providing new insights into the structure of these theories.
• The discovery of the two-adjoint theory as an endpoint in the a=c landscape highlights the importance of this theory in understanding the behavior of 4d N=1 SCFTs.
• The use of mixed anomalies between the zero-form and one-form symmetries provides a powerful tool for constraining the infrared behavior of these theories.
• The study of the deformations of N=4 super-Yang-Mills sheds light on the behavior of this theory under various superpotential deformations.
• The analysis of the a=c landscape provides a deeper understanding of the properties and behavior of 4d N=1 SCFTs, including the role of dualities and the constraints imposed by anomalies.
• The results of this study have implications for our understanding of the holographic principle and the behavior of gravity in the context of 4d N=1 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