Chiral Higher Spin Gravity and Strong Homotopy Algebra
Published:Dec 27, 2025 21:49
•1 min read
•ArXiv
Analysis
This paper explores Chiral Higher Spin Gravity (HiSGRA), a theoretical framework that unifies self-dual Yang-Mills and self-dual gravity. It's significant because it provides a covariant and coordinate-independent formulation of HiSGRA, potentially linking it to the AdS/CFT correspondence and $O(N)$ vector models. The use of $L_\infty$-algebras and $A_\infty$-algebras, along with connections to non-commutative deformation quantization and Kontsevich's formality theorem, suggests deep mathematical underpinnings and potential for new insights into quantum gravity and related fields.
Key Takeaways
- •Develops a covariant and coordinate-independent formulation of Chiral Higher Spin Gravity.
- •Connects HiSGRA to $L_\infty$-algebras and $A_\infty$-algebras.
- •Suggests a link to non-commutative deformation quantization.
- •Proposes a novel generalization of Kontsevich's formality theorem.
Reference
“The paper constructs a covariant formulation for self-dual Yang-Mills and self-dual gravity, and subsequently extends this construction to the full Chiral Higher Spin Gravity.”