TY - JOUR
T1 - A deformed supersymmetric w1+∞ symmetry in the celestial conformal field theory
AU - Ahn, Changhyun
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/7
Y1 - 2022/7
N2 - By using the K-free complex bosons and the K-free complex fermions, we construct the N=2 supersymmetric W∞K,K algebra which is the matrix generalization of previous N=2 supersymmetric W∞ algebra. By twisting this N=2 supersymmetric W∞K,K algebra, we obtain the N=1 supersymmetric W∞K algebra which is the matrix generalization of known 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.
AB - By using the K-free complex bosons and the K-free complex fermions, we construct the N=2 supersymmetric W∞K,K algebra which is the matrix generalization of previous N=2 supersymmetric W∞ algebra. By twisting this N=2 supersymmetric W∞K,K algebra, we obtain the N=1 supersymmetric W∞K algebra which is the matrix generalization of known 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.
UR - http://www.scopus.com/inward/record.url?scp=85134631037&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-022-10582-9
DO - 10.1140/epjc/s10052-022-10582-9
M3 - Article
AN - SCOPUS:85134631037
SN - 1434-6044
VL - 82
JO - European Physical Journal C
JF - European Physical Journal C
IS - 7
M1 - 630
ER -