Loop Corrections to Supergravity on AdS_{5}×S^{5}

Area of Science:

• Theoretical physics
• High-energy physics
• Quantum field theory

Background:

• N=4 super Yang-Mills theory is a crucial model in quantum field theory.
• The 't Hooft coupling regime relates this theory to string theory via holography.
• Four-point correlators probe the theory's dynamics.

Purpose of the Study:

• To investigate subleading corrections (1/N^4) to the four-point correlator of the stress-energy tensor multiplet.
• To explore loop corrections in the dual IIB supergravity description.
• To determine the spectrum of leading-twist intermediate operators.

Main Methods:

• Analyzing the four-point correlator in the planar limit at large 't Hooft coupling.
• Applying holographic duality to IIB supergravity on AdS5×S5.
• Utilizing consistency conditions, particularly crossing symmetry, to constrain corrections.

Main Results:

• Subleading corrections in the number of colors (1/N^4) were analyzed.
• These corrections correspond to loop-level effects in the supergravity picture.
• Crossing symmetry was shown to fully determine the spectrum of leading-twist operators.

Conclusions:

• The study provides a detailed analysis of quantum corrections in holographic field theories.
• Consistency conditions are powerful tools for constraining theoretical models.
• The spectrum of operators in N=4 super Yang-Mills theory is precisely determined at leading twist.