Emergence of String Monodromy in Effective Field Theory

Area of Science:

• Theoretical Physics
• High Energy Physics
• String Theory

Background:

• Bi-adjoint scalar effective field theories are crucial for understanding scattering amplitudes.
• The Kleiss-Kuijf and Bern-Carrasco-Johansson relations are fundamental symmetries in these theories.
• Understanding the interplay between field theory symmetries and string theory properties is an ongoing challenge.

Purpose of the Study:

• To investigate the implications of imposing specific field theory relations on color orderings within bi-adjoint scalar effective field theories.
• To explore the emergence of string theory properties in a purely field theoretic context.
• To uncover novel relationships between scattering amplitudes and Wilson coefficients.

Main Methods:

• Imposing Kleiss-Kuijf and Bern-Carrasco-Johansson relations on one color ordering of the amplitude.
• Analyzing the consequences for other color orderings within the framework of effective field theories.
• Utilizing factorization techniques to derive relations among Wilson coefficients.

Main Results:

• Demonstration that imposing field theory relations on one color ordering mandates adherence to string monodromy relations in other color orderings.
• Identification of an unexpected instance where open string world-sheet properties manifest in a purely field theoretic setting.
• Derivation of nonlinear relations among four-point Wilson coefficients through the application of linear symmetries to the six-point amplitude via factorization.

Conclusions:

• The study establishes a profound connection between field theory symmetries and string theory properties in bi-adjoint scalar effective field theories.
• The findings highlight the non-trivial emergence of string-theoretic phenomena within a field theory context.
• The work provides new insights into the structure of scattering amplitudes and the relationships governing Wilson coefficients.