Emergent N=4 Supersymmetry from N=1

Area of Science:

• High-energy theoretical physics
• Quantum field theory
• Supersymmetry

Background:

• N=4 super Yang-Mills theory is a well-studied quantum field theory with extensive applications.
• Supersymmetric conformal field theories (SCFTs) are crucial for understanding dualities and emergent phenomena.
• Argyres-Douglas theories represent a class of strongly coupled SCFTs with unique properties.

Purpose of the Study:

• To construct a novel four-dimensional N=1 supersymmetric field theory.
• To establish a duality between this new theory and N=4 super Yang-Mills theory.
• To explore the infrared (IR) behavior and properties of strongly coupled SCFTs.

Main Methods:

• Construction of the dual theory via diagonal gauging of flavor symmetry.
• Utilizing three copies of a strongly coupled Argyres-Douglas type SCFT.
• Analysis of the theory's flow to the infrared limit.

Main Results:

• Discovery of a four-dimensional N=1 supersymmetric field theory dual to N=4 super Yang-Mills with SU(2n+1) gauge groups.
• The dual theory flows in the IR to a strongly coupled N=1 SCFT.
• This IR SCFT resides on the same conformal manifold as the corresponding N=4 super Yang-Mills theory.

Conclusions:

• The construction provides a new example of N=1 supersymmetric dualities.
• The findings offer a potential explanation for why certain N=1 and N=2 SCFTs exhibit identical central charges (a=c).
• This work deepens the understanding of dualities in supersymmetric field theories.