Large J expansion in ABJM theory revisited

Area of Science:

• Theoretical Physics
• High-Energy Physics
• String Theory

Background:

• AdS/CFT correspondence enables computation of anomalous dimensions for gauge theory operators at strong coupling.
• Semiclassical string theory describes these dimensions via dispersion relations.
• Previous work established progress in this area.

Purpose of the Study:

• To revisit and extend the large-charge expansion of dispersion relations for semiclassical strings.
• To calculate anomalous dimensions of gauge theory operators to arbitrary order.
• To verify consistency across different computational methods.

Main Methods:

• Utilized the AdS/CFT correspondence framework.
• Analyzed dispersion relations for simple semiclassical strings in a specific background.
• Employed three distinct methods for calculating anomalous dimensions.

Main Results:

• Calculated anomalous dimensions of gauge theory operators to an arbitrary order.
• Demonstrated consistency between the three different calculation methods.
• Power series expansions confirmed the agreement of seemingly different results.

Conclusions:

• The study successfully computed anomalous dimensions using multiple approaches.
• The consistency shown validates the theoretical framework and calculation techniques.
• This work contributes to understanding quantum field theories at strong coupling through string theory dualities.