Regular Article - Theoretical Physics
A deformed supersymmetric symmetry in the celestial conformal field theory
Department of Physics, Kyungpook National University, 41566, Taegu, Korea
Accepted: 4 July 2022
Published online: 22 July 2022
By using the K-free complex bosons and the K-free complex fermions, we construct the supersymmetric algebra which is the matrix generalization of previous supersymmetric algebra. By twisting this supersymmetric algebra, we obtain the supersymmetric algebra which is the matrix generalization of known supersymmetric topological algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft graviton and gravitino (as a first example), at nonzero deformation parameter, in the supersymmetric Einstein–Yang–Mills theory explicitly. Other six OPEs between the graviton, gravitino, gluon and gluino can be determined completely. At vanishing deformation parameter, we reproduce the known result of Fotopoulos, Stieberger, Taylor and Zhu on the above OPEs via celestial holography.
© The Author(s) 2022
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