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

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

2012-02-16

arxiv.org/abs/1202.3692v2

Physics

High Energy Physics

High Energy Physics - Theory

v2: added comments about one-loop UV divergences. Assorted stylistic corrections. Added references. 18 pages. one figure

Scientific paper

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 has a prefactor of 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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