Supersymmetry counterterms revisited

Abstract

Superspace power-counting rules give estimates for the loop order at which divergences can first appear in non-renormalisable supersymmetric field theories. In some cases these estimates can be improved if harmonic superspace, rather than ordinary superspace, is used. The new estimates are in agreement with recent results derived from unitarity calculations for maximally supersymmetric Yang-Mills theories in five and six dimensions. For N=8 supergravity in four dimensions, we speculate that the onset of divergences may correspondingly occur at the six loop order.

10 pages, plain Latex

Cited by in corpus (70)

• A Duality For The S Matrix
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
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• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Is N = 8 Supergravity Ultraviolet Finite?
• The S-Matrix in Twistor Space
• E7(7) constraints on counterterms in N=8 supergravity
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Ultraviolet properties of Maximal Supergravity
• Unexpected Cancellations in Gravity Theories
• Inherited Twistor-Space Structure of Gravity Loop Amplitudes
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• The No-Triangle Hypothesis for N=8 Supergravity
• Tree Level Recursion Relations In General Relativity
• Supertwistor space for 6D maximal super Yang-Mills
• The vanishing volume of D=4 superspace
• Integral invariants in N=4 SYM and the effective action for coincident D-branes
• A simple approach to counterterms in N=8 supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Generic multiloop methods and application to N=4 super-Yang-Mills
• On duality symmetries of supergravity invariants
• The ultra-violet question in maximally supersymmetric field theories
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
• Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
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• The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
• Gauge and Gravity Amplitude Relations
• A note on the UV behaviour of maximally supersymmetric Yang-Mills theories
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
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• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• One-loop divergences in 6D, N=(1,0) SYM theory
• On Maximal Massive 3D Supergravity
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• Perturbative expansion of N<8 Supergravity
• On a possibility of a UV finite N=8 supergravity
• A note on N=8 counterterms
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• One-loop tests of supersymmetric gauge theories on spheres
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• The Effective Action of N=8 Supergravity
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