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

Summary

The paper explores the landscape of 4D N=1 superconformal field theories (SCFTs) with a=c, starting from a "seed" SCFT obtained by gauging three copies of D (SU(3)) with an adjoint-valued chiral multiplet.

Highlights

• The paper studies the landscape of 4D N=1 SCFTs with a=c.
• The "seed" SCFT is obtained by gauging three copies of D (SU(3)) with an adjoint-valued chiral multiplet.
• The authors perform a detailed analysis of the network of superpotential deformations and interacting a=c fixed points.
• They find 21 different interacting a=c fixed points in this landscape.
• The landscape is summarized in Table 3 and depicted as a graph in Figure 1.2.
• The paper discovers novel dualities, including ones that do not involve a=c SCFTs in the infrared.
• The authors also discuss the infrared fate of the theories, including the possibility of spontaneous symmetry breaking.

Key Insights

• The paper provides a systematic approach to studying the landscape of 4D N=1 SCFTs with a=c, using a combination of theoretical and computational tools.
• The "seed" SCFT is a key component of the analysis, and its properties determine the structure of the landscape.
• The authors' use of superpotential deformations and anomaly cancellation provides a powerful framework for exploring the landscape of SCFTs.
• The discovery of novel dualities highlights the rich and complex structure of the landscape, and suggests that there may be many more surprises waiting to be uncovered.
• The discussion of infrared fate provides a fascinating glimpse into the possible behaviors of these theories at low energies, and highlights the importance of considering the full range of possibilities.
• The paper demonstrates the power of combining theoretical and computational approaches to study complex systems, and highlights the importance of collaboration and cross-disciplinary research.
• The results of the paper have significant implications for our understanding of the structure of SCFTs, and suggest new avenues for research in this area.

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