Publication : t09/086

Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory

Berkovits N. (Instituto de Física Teórica, Universidade Estadual Paulista Rua Pamplona 145, 01405-900 São Paulo, SP, BRAZIL)
Green M.B. (Department of Applied Mathematics and Theoretical Physics (DAMTP), Center for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, England UNITED KINGDOM (UK))
Russo J.G. (Institució Catalana de Recerca i Estudis Avançats (ICREA) University of Barcelona, Av.Diagonal 647, Barcelona 08028, SPAIN)
Vanhove P. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
The constraints imposed by maximal supersymmetry on multi-loop contributions to the scattering of four open superstrings in the U(N) theory are examined by use of the pure spinor formalism. The double-trace term k^2 t_8(tr F^2)^2 (where k represents an external momentum and F the Yang--Mills field strength) only receives contributions from L=2 (where L is the loop number) while the single-trace term k^2 t_8(tr F^4) receives contributions from all L. We verified these statements up to L=5, but arguments based on supersymmetry suggest they extend to all L. This explains why the single-trace contributions to low energy maximally supersymmetric Yang--Mills field theory are more divergent in the ultraviolet than the double-trace contributions. We also comment further on the constraints on closed-string amplitudes that suggest that supersymmetry forbids ultraviolet divergences in N=8 supergravity up to at least eight loops.
Année de publication : 2009
Revue : JHEP 0911 063 (2009)
DOI : 10.1088/1126-6708/2009/11/063
Preprint : arXiv:0908.1923
Langue : Anglais

Fichier(s) à télécharger :
  • 1126-6708_2009_11_063.pdf
  • publi.pdf


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