Twisted de Rham Theory for String Double Copy in AdS

This paper provides a theoretical framework, using a noncommutative version of twisted de Rham theory, to prove the double-copy relationship between open- and closed-string amplitudes in Anti-de Sitter (AdS) space. This is significant because it provides a mathematical foundation for understanding the relationship between these amplitudes, which is crucial for studying string theory in AdS space and understanding the AdS/CFT correspondence. The work builds upon existing knowledge of double-copy relationships in flat space and extends it to the more complex AdS setting, potentially offering new insights into the behavior of string amplitudes under curvature corrections.