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An R^4 non-renormalisation theorem in N=4 supergravity

Abstract : We consider the four-graviton amplitudes in CHL constructions providing four-dimensional N=4 models with various numbers of vector multiplets. We show that in these models the two-loop amplitude factorizes a d^2R^4. This implies a non-renormalisation theorem for the R^4 term, which forbids the appearance of a three-loop ultraviolet divergence in four dimensions in the four-graviton amplitude. We connect the special nature of the R^4 term to the U(1) anomaly of pure N=4 supergravity.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00671301
Contributor : Vanhove Pierre Connect in order to contact the contributor
Submitted on : Friday, February 17, 2012 - 10:32:56 AM
Last modification on : Monday, December 13, 2021 - 9:16:03 AM

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  • HAL Id : hal-00671301, version 1
  • ARXIV : 1202.3692

Citation

Piotr Tourkine, P. Vanhove. An R^4 non-renormalisation theorem in N=4 supergravity. 2012. ⟨hal-00671301⟩

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