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 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.

v2: added comments about one-loop UV divergences. Assorted stylistic corrections. Added references. v3: Eq. III.21 corrected and assorted minor corrections and clarifications. Version to be published. v4: minor corrections. 18 pages. one figure

References in corpus (4)

• The vanishing volume of D=4 superspace
• N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Obtaining One-loop Gravity Amplitudes Using Spurious Singularities

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