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Quantizing the non-linear graviton

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arxiv 2208.12701 v3 pith:IEB3FPF4 submitted 2022-08-26 hep-th gr-qcmath-phmath.MP

Roland Bittleston , Atul Sharma , David Skinner This is my paper
classification hep-thgr-qcmath-phmath.MP
keywords self-dualtheorytwistoranomalyanomaliescancelledeinsteingravity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider holomorphic Poisson-BF theory on twistor space. Classically, this describes self-dual Einstein gravity on space-time, but at the quantum level it is plagued by an anomaly. The anomaly corresponds to the fact that integrability of the self-dual vacuum Einstein equations does not survive in self-dual quantum gravity. We compute the anomaly polynomials in the Poisson-BF theory, as well as in this theory coupled to a holomorphic BF theory on twistor space describing self-dual Yang-Mills. We show that all anomalies may be cancelled by further coupling to a twistor field representing a type of axion on space-time. When the twistor anomalies are cancelled, all $n\geq4$-pt amplitudes vanish and integrability is restored.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives

    hep-th 2025-06 conditional novelty 7.0 of 10

    The celestial S-algebra is shown to unify the twistor, null-infinity, and twisted-holography descriptions of self-dual Yang-Mills, with new two-helicity charges and a nonlinear extrapolate dictionary.

  2. The One-Loop QCD $\beta$-Function as an Index

    hep-th 2025-10 conditional novelty 6.0 of 10

    The one-loop QCD beta-function coefficient b and the Weyl anomaly difference a-c are computed as the first Chern class of a determinant line bundle via Grothendieck-Riemann-Roch on twistor space.

  3. Fixed points of classical gravity coupled with a Standard-Model-like theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A free conformal matter content with n1/2=4n1 and n'_0=3n1 gives a UV fixed point where all stress tensor correlators are finite; the Standard Model with right-handed neutrinos and 36 four-derivative scalars is such a theory.

  4. 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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