Monodromy relations for string amplitudes on AdS space

We consider the Anti-de Sitter (AdS) Veneziano amplitude describing the scattering of four gluons in type IIB string theory on <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msub> <a:mi>AdS</a:mi> <a:mn>5</a:mn> </a:msub> <a:mo>×</a:mo> <a:msup> <a:mi>S</a:mi> <a:mn>3</a:mn> </a:msup> </a:math> . We propose a set of powerful monodromy relations between different color-ordered amplitudes. These relations arise as a consequence of the emergent worldsheet description of open string scattering on AdS. In flat space, they reduce to the usual monodromy relations for the Veneziano amplitude, and they hold order by order in the small curvature expansion. The relations hold for the results available in the literature, including the scattering of arbitrary Kaluza-Klein modes.