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Conformal Supergravity in Twistor-String Theory

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arxiv hep-th/0406051 v2 pith:5QENRM7X submitted 2004-06-04 hep-th

Nathan Berkovits , Edward Witten This is my paper
classification hep-th
keywords conformalsupergravitytheoryamplitudestwistor-stringloopyang-millsfields
verification ladder T0 review T1 audit T2 compute T3 formal
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Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and fields of conformal supergravity. We also use the twistor-string theory to compute some tree level scattering amplitudes with supergravitons, and compare to expectations from conformal supergravity. Since the supergravitons interact with the same coupling constant as the Yang-Mills fields, conformal supergravity states will contribute to loop amplitudes of Yang-Mills gluons in these theories. Those loop amplitudes will therefore not coincide with the loop amplitudes of pure super Yang-Mills theory.

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Cited by 3 Pith papers

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  1. Worldline Higher Spin Gravity

    hep-th 2026-05 unverdicted novelty 8.0 of 10

    A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.

  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. 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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