We propose an extension of the color-kinematics duality for nonlinear sigma models with nonymmetric cosets. The role of color is replaced with curvatures in field space. The duality between curvature and kinematics allows for a new double copy: the double copy of the nonlinear sigma model for nonsymmetric cosets is the general Galileon theory. We provide evidence for this new double copy of geometry.

中文翻译：

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具有非对称余集的非线性 sigma 模型的彩色运动学对偶性


我们提出了具有非名词余集的非线性 sigma 模型的颜色-运动学对偶性的扩展。颜色的作用被场空间中的曲率所取代。曲率和运动学之间的对偶性允许一个新的双重副本：非对称余集的非线性 sigma 模型的双重副本是一般的伽利略理论。我们为这种新的几何双副本提供了证据。