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

• Autor(a) principal: Berkovits, Nathan [UNESP]
• Data de Publicação: 2009
• Outros Autores: Green, Michael B., Russo, Jorge G., Vanhove, Pierre
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1088/1126-6708/2009/11/063; http://hdl.handle.net/11449/116977
• topic: Extended Supersymmetry; Gauge Symmetry; Field Theories in Higher Dimensions

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)(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.