A supersymmetric extension of w1+∞ algebra in the celestial holography

Changhyun Ahn, Man Hea Kim

Research output: Contribution to journalArticlepeer-review

Abstract

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 W2 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.

Original languageEnglish
Article number81
JournalJournal of High Energy Physics
Volume2024
Issue number9
DOIs
StatePublished - Sep 2024

Keywords

  • Conformal and W Symmetry
  • Supergravity Models

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