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New higher-derivative R**4 theorems

Sep, 2006
10 pages
Published in:
  • Phys.Rev.Lett. 98 (2007) 211601
e-Print:
DOI:
Report number:
  • IFT-P-031-2006
View in:
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Abstract:
The non-minimal pure spinor formalism for the superstring is used to prove two new multiloop theorems which are related to recent higher-derivative R4R^4 conjectures of Green, Russo and Vanhove. The first theorem states that when 0<n<120<n<12, ∂nR4\partial^n R^4 terms in the Type II effective action do not receive perturbative contributions above n/2n/2 loops. The second theorem states that when n≤8n\leq 8, perturbative contributions to ∂nR4\partial^n R^4 terms in the IIA and IIB effective actions coincide.
  • 11.25.Db
  • string model
  • supersymmetry
  • derivative: high
  • spinor
  • dimension: 10
  • n-point function
  • gauge field theory: Yang-Mills
  • operator: vertex
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