Integrable Spin Chains in Twisted Maximally Supersymmetric Yang-Mills Theory

Area of Science:

• Theoretical Physics
• High-Energy Physics
• String Theory

Background:

• Supersymmetric Yang-Mills (SYM) theory is a fundamental model in quantum field theory.
• Holographic duality (AdS/CFT correspondence) relates gravitational theories to quantum field theories.
• Integrable spin chains are crucial tools for calculating properties of certain quantum field theories.

Purpose of the Study:

• To investigate an angular dipole deformation of maximally supersymmetric Yang-Mills (SYM) theory.
• To examine how classical scale invariance is preserved under this deformation.
• To test the holographic principle in a novel theoretical setting.

Main Methods:

• Analyzing two-point functions of single trace operators on an invariant plane.
• Utilizing a twisted integrable spin chain model derived from SYM theory.
• Comparing results with predictions from dual string theory.

Main Results:

• The scaling dimensions of operators were computed using the twisted integrable spin chain.
• The computed dimensions precisely matched expectations from dual string theory.
• The study establishes a new framework for testing holography.

Conclusions:

• The angular dipole deformation of SYM theory is well-described by a twisted integrable spin chain.
• This work offers a precision test of holography in a new regime.
• It advances the understanding of general twisted integrable AdS/CFT correspondences.