TY - JOUR
T1 - A supersymmetric extension of w1+∞ algebra in the celestial holography
AU - Ahn, Changhyun
AU - Kim, Man Hea
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/9
Y1 - 2024/9
N2 - We determine the N = 1 supersymmetric topological W∞ algebra by using the λ deformed bosons (β, γ) and fermions (b, c) ghost system. By considering the real bosons and the real fermions at λ = 0 (or λ = 12), the N = 1 supersymmetric W∞2 algebra is obtained. At λ = 14, other N = 1 supersymmetric W1+∞[λ = 14] algebra is determined. We also obtain the extension of Lie superalgebra PSU(2, 2|N = 4) appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to N = 1 supersymmetric W1+∞[λ] algebra, in two dimensions with the N = 1 supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.
AB - We determine the N = 1 supersymmetric topological W∞ algebra by using the λ deformed bosons (β, γ) and fermions (b, c) ghost system. By considering the real bosons and the real fermions at λ = 0 (or λ = 12), the N = 1 supersymmetric W∞2 algebra is obtained. At λ = 14, other N = 1 supersymmetric W1+∞[λ = 14] algebra is determined. We also obtain the extension of Lie superalgebra PSU(2, 2|N = 4) appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to N = 1 supersymmetric W1+∞[λ] algebra, in two dimensions with the N = 1 supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.
KW - Conformal and W Symmetry
KW - Supergravity Models
UR - http://www.scopus.com/inward/record.url?scp=85204458469&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2024)081
DO - 10.1007/JHEP09(2024)081
M3 - Article
AN - SCOPUS:85204458469
SN - 1029-8479
VL - 2024
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 81
ER -