Supersymmetry and the celestial Jacobi identity

Ball, Adam; Spradlin, Marcus; Srikant, Akshay Yelleshpur; Volovich, Anastasia

doi:10.1007/jhep04(2024)099

J. High Energ. Phys.

2024

DOI: 10.1007/jhep04(2024)099

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Supersymmetry and the celestial Jacobi identity

Adam Ball,

Marcus Spradlin,

Akshay Yelleshpur Srikant

et al.

Abstract: In this paper we study the simplifying effects of supersymmetry on celestial OPEs at both tree and loop level. We find at tree level that theories with unbroken supersymmetry around a stable vacuum have celestial soft current algebras satisfying the Jacobi identity, and we show at one loop that celestial OPEs in these theories have no double poles.

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2024

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Cited by 4 publications

References 51 publications

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Celestial soft currents at one-loop and their OPEs

Bhardwaj,

Yelleshpur Srikant

2024

J. High Energ. Phys.

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Conformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level. In this paper, focusing our attention to Yang-Mills theory, we introduce new operators in the boundary celestial CFT in order to extend the definition of conformally soft currents to include one-loop effects. We then compute their OPEs with other operators in the theory. We also examine new subtleties that arise in defining OPEs of two conformally soft operators. We elucidate the connection between the new operators and loop corrected soft theorems in the bulk. Finally, we conclude by demonstrating how these operators fit into the framework of a logarithmic CFT.

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Celestial soft currents at one-loop and their OPEs

Bhardwaj,

Yelleshpur Srikant

2024

J. High Energ. Phys.

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

Ahn,

Kim

2024

J. High Energ. Phys.

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We determine the $$ \mathcal{N} $$ 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 = $$ \frac{1}{2} $$ 1 2 ), the $$ \mathcal{N} $$ N = 1 supersymmetric $$ {W}_{\frac{\infty }{2}} $$ W ∞ 2 algebra is obtained. At λ = $$ \frac{1}{4} $$ 1 4 , other $$ \mathcal{N} $$ N = 1 supersymmetric W1+∞[λ = $$ \frac{1}{4} $$ 1 4 ] algebra is determined. We also obtain the extension of Lie superalgebra PSU(2, 2|$$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ N = 1 supersymmetric W1+∞[λ] algebra, in two dimensions with the $$ \mathcal{N} $$ N = 1 supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.

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All OPEs invariant under the infinite symmetry algebra for gluons on the celestial sphere

Banerjee,

Mandal,

Misra

et al. 2024

Phys. Rev. D

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S algebra is an infinite-dimensional Lie algebra, which is known to be the symmetry algebra of some gauge theories. It is a “colored version” of the w1+∞. In this paper, we write down all possible S-invariant (celestial) operator product expansions between two positive-helicity outgoing gluons and also find the Knizhnik-Zamolodchikov type null states for these theories. Our analysis hints at the existence of an infinite number of S-invariant gauge theories which include the (tree-level) maximally helicity-violating sector and the self-dual Yang-Mills theory. Published by the American Physical Society 2024

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Supersymmetry and the celestial Jacobi identity

Cited by 4 publications

References 51 publications

Celestial soft currents at one-loop and their OPEs

Celestial soft currents at one-loop and their OPEs

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

All OPEs invariant under the infinite symmetry algebra for gluons on the celestial sphere

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