Worldsheet for Generalized Veneziano Amplitudes

Area of Science:

• Theoretical Physics
• String Theory
• High Energy Physics

Background:

• The Veneziano amplitude is a foundational concept in string theory, describing scattering amplitudes for open strings.
• Generalizing dual resonance amplitudes is crucial for a deeper understanding of string dynamics.
• Recent advancements in chiral composite linear dilaton models offer new theoretical frameworks.

Purpose of the Study:

• To introduce a novel worldsheet action that reproduces and generalizes existing dual resonance amplitudes.
• To extend the framework to higher-point interactions and closed-string analogs.
• To investigate the properties of these generalized amplitudes, particularly crossing symmetry.

Main Methods:

• Formulation of a new worldsheet action based on the chiral composite linear dilaton.
• Computation of scattering amplitudes for open strings, generalizing the Veneziano amplitude.
• Derivation of higher-point extensions and closed-string counterparts.

Main Results:

• The proposed worldsheet action successfully reproduces a class of generalized dual resonance amplitudes.
• Higher-point extensions and closed-string analogs were computed.
• The computed closed-string analogs demonstrate partial crossing symmetry.

Conclusions:

• The developed worldsheet action provides a powerful tool for studying generalized string amplitudes.
• This work offers new insights into the structure of dual resonance models and their extensions.
• The findings pave the way for further investigations into string theory and related areas.