Supersymmetry and the celestial Jacobi identity
Adam Ball (Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada, Department of Physics, Brown University, Providence, RI, 02912, USA); Marcus Spradlin (Department of Physics, Harvard University, Cambridge, MA, 02138, USA, Department of Physics, Brown University, Providence, RI, 02912, USA, Brown Theoretical Physics Center, Brown University, Providence, RI, 02912, USA); Akshay Srikant (Department of Physics, Brown University, Providence, RI, 02912, USA, Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK); Anastasia Volovich (Department of Physics, Harvard University, Cambridge, MA, 02138, USA, Department of Physics, Brown University, Providence, RI, 02912, USA)
In this paper we study the simplifying effects of supersymmetry on celestial OPEs at both tree and loop level. We find at tree level that theories with unbroken supersymmetry around a stable vacuum have celestial soft current algebras satisfying the Jacobi identity, and we show at one loop that celestial OPEs in these theories have no double poles.