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, obtained by deforming gauged Argyres-Douglas theories. The authors analyze the network of superpotential deformations and identify 21 interacting a=c fixed points, many of which are connected to N=4 super-Yang-Mills or the two-adjoint theory.

Highlights

• Gauged Argyres-Douglas theories provide a starting point for constructing a=c SCFTs.
• Superpotential deformations lead to a network of 21 interacting a=c fixed points.
• Many of these fixed points are connected to N=4 super-Yang-Mills or the two-adjoint theory.
• The authors identify various dualities, including those involving N=4 super-Yang-Mills.
• Some deformations lead to non-SCFT infrared behaviors, constrained by anomalies.
• The study reveals a complex landscape of a=c SCFTs with rich connections.

Key Insights

• Gauged Argyres-Douglas theories offer a fertile ground for constructing and studying a=c SCFTs, which are of significant interest in theoretical physics.
• The network of superpotential deformations reveals a complex landscape of a=c SCFTs, with multiple connections between theories, including those involving enhanced supersymmetry.
• The identification of dualities between different theories, including those involving N=4 super-Yang-Mills, provides valuable insights into the structure of these SCFTs.
• The study highlights the importance of considering anomalies in understanding the infrared behavior of deformed SCFTs, which can lead to non-SCFT behaviors.
• The results have implications for our understanding of the behavior of supersymmetric field theories and the properties of conformal field theories.
• The study demonstrates the power of combining theoretical physics techniques, such as superconformal index calculations and anomaly analysis, to gain insights into the behavior of complex quantum field theories.
• The work provides a foundation for further studies of a=c SCFTs, including the exploration of their properties, such as their spectrum and dynamics, and their potential applications in theoretical physics.

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