Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-08-13
JHEP 0911:063,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages. 2 eps figures. Harvmac format. v2 qualifications regarding comments on closed strings. References added
Scientific paper
10.1088/1126-6708/2009/11/063
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 and their implications for ultraviolet divergences in N=8 supergravity.
Berkovits Nathan
Green Michael B.
Russo Jorge G.
Vanhove Pierre
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