2022/02/07 by Changhyun Ahn, Ahn, Changhyun
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2202.02949
openalex publication_date 2022/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By using the K-free complex bosons and the K-free complex fermions, we construct the \cal N=2 supersymmetric W∞K,K algebra which is the matrix generalization of previous \cal N=2 supersymmetric W∞ algebra. By twisting this \cal N=2 supersymmetric W∞K,K algebra, we obtain the \cal N=1 supersymmetric W∞K algebra which is the matrix generalization of known \cal N=1 supersymmetric topological W∞ 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.