Berkovits, Nathan [UNESP]Green, Michael B.Russo, Jorge G.Vanhove, Pierre2015-03-182015-03-182009-11-01Journal Of High Energy Physics. New York: Springer, n. 11, 21 p., 2009.1126-6708http://hdl.handle.net/11449/116977The 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)(trF(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)(trF(4)) receives contributions from all L. These statements are verified 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.21engExtended SupersymmetryGauge SymmetryField Theories in Higher DimensionsArtigo10.1088/1126-6708/2009/11/063WOS:000273012100063Acesso abertoWOS000273012100063.pdf