Twisted de Rham Theory for String Double Copy in AdS
Published:Dec 29, 2025 18:56
•1 min read
•ArXiv
Analysis
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.
Key Takeaways
- •Proves the double-copy relationship between open- and closed-string amplitudes in AdS space.
- •Uses a new, noncommutative version of twisted de Rham theory.
- •Provides a mathematical foundation for understanding the relationship between string amplitudes in AdS.
- •Extends the double-copy framework from flat space to AdS space.
Reference
“The inverse of this intersection number is precisely the AdS double-copy kernel for the four-point open- and closed-string generating functions.”