BMN operators with vector impurities, Z_2 symmetry and pp-waves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, 7 figures. v1: A reference and a footnote added; v2: New contributions found, Z_2 symmetry lost in 3-point functions

Scientific paper

10.1088/1126-6708/2003/06/050

We calculate the coefficients of three-point functions of BMN operators with two vector impurities. We find that these coefficients can be obtained from those of the three-point functions of scalar BMN operators by interchanging the coefficient for the symmetric-traceless representation with the coefficient for the singlet. We conclude that the Z_2 symmetry of the pp-wave string theory is not manifest at the level of field theory three-point correlators.

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