2 research outputs found
BMN operators with vector impurities, Z_2 symmetry and pp-waves
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.Comment: 25 pages, 7 figures. v1: A reference and a footnote added; v2: New
contributions found, Z_2 symmetry lost in 3-point function
Tracing the String: BMN correspondence at Finite J^2/N
Employing the string bit formalism of hep-th/0209215, we identify the basis
transformation that relates BMN operators in N=4 gauge theory to string states
in the dual string field theory at finite g_2=J^2/N. In this basis, the
supercharge truncates at linear order in g_2, and the mixing amplitude between
1 and 2-string states precisely matches with the (corrected) answer of
hep-th/0206073 for the 3-string amplitude in light-cone string field theory.
Supersymmetry then predicts the order g_2^2 contact term in the string bit
Hamiltonian. The resulting leading order mass renormalization of string states
agrees with the recently computed shift in conformal dimension of BMN operators
in the gauge theory.Comment: 11 pages, 1 figur