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Deforming Soft Algebras for Gauge Theory

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arxiv 2212.08643 v1 pith:UIY5A62W submitted 2022-12-16 hep-th

Walker Melton , Sruthi A. Narayanan , Andrew Strominger This is my paper · ORCID
classification hep-th
keywords softalgebragaugescalardeformedtheoryalgebrascentral
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abstract

Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of higher-dimension Wilsonian corrections to the effective action. We study the simplest of these deformations in gauge theory arising from a massless complex scalar coupled to $F^2$. The soft gauge symmetry '$s$-algebra', compactly realized as a higher-spin current algebra acting on the celestial sphere, is deformed and enlarged to an associative algebra containing soft scalar generators. This deformed soft algebra is found to be non-abelian even in abelian gauge theory. A two-parameter family of central extensions of the $s$-subalgebra are generated by shifting and decoupling the scalar generators. It is shown that these central extensions can also be generated by expanding around a certain non-trivial but Lorentz invariant shockwave type background for the scalar field.

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Cited by 3 Pith papers

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  1. Conformal blocks from celestial graviton amplitudes

    hep-th 2025-01 conditional novelty 7.0 of 10

    The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.

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    Bulk double soft limits of gravitational amplitudes fail to reproduce the recursive generation of higher-order soft theorems that celestial soft algebras suggest from the first three terms alone.

  3. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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