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Related Experiment Video

Updated: Jun 13, 2025

Setting Limits on Supersymmetry Using Simplified Models

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Published on: November 15, 2013

Emergence of String Monodromy in Effective Field Theory.

Alan Shih-Kuan Chen¹, Henriette Elvang¹, Aidan Herderschee¹

¹Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, <a href="https://ror.org/00jmfr291">The University of Michigan</a>, Ann Arbor, Michigan 48109-1040, USA.

Physical Review Letters

|September 13, 2024

Summary

We show that imposing field theory relations on one color ordering of bi-adjoint scalar effective field theories necessitates string monodromy relations in another. This reveals open string properties within a field theory framework.

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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.