Deformed $w_{1+\infty}$ Algebras in the Celestial CFT
Jorge Mago, Lecheng Ren, Akshay Yelleshpur Srikant, Anastasia Volovich
Abstract
We compute the modification of the w<sub>1+∞</sub> algebra of soft graviton, gluon and scalar currents in the celestial CFT due to non-minimal couplings. We find that the Jacobi identity is satisfied only when the spectrum and couplings of the theory obey certain constraints. We comment on the similarities and essential differences of this algebra to W<sub>1+∞</sub>.
Topics & Concepts
PhysicsMathematical physicsMathematicsPure mathematicsTheoretical physicsAlgebra over a fieldBlack Holes and Theoretical PhysicsAdvanced Topics in AlgebraNoncommutative and Quantum Gravity Theories