Two-Parametric Quantum-Deformed Dual Amplitude

TL;DR

This paper introduces a new two-parameter quantum deformation of the harmonic oscillator algebra to construct a 4-point dual amplitude with nonlinear trajectories, generalizing previous q-deformed models.

Contribution

It presents a novel two-parametric quantum deformation framework that extends existing q-deformed dual models to produce nonlinear trajectories.

Findings

Reproduces earlier q-deformed dual models as special cases

Constructs a 4-point dual amplitude with nonlinear trajectories

Provides a generalized deformation approach for dual amplitude models

Abstract

From a 2-parametric deformation of the harmonic oscillator algebra we construct a 4-point dual amplitude with nonlinear trajectories. The earlier versions of the q-deformed dual models are reproduced as limiting cases of the present model.