Tracing the String: BMN correspondence at Finite J^2/N

Details Tracing the String: BMN correspondence at Finite J^2/N Tracing the String: BMN correspondence at Finite J^2/N

2002-10-10

arxiv.org/abs/hep-th/0210102v2

JHEP 0305 (2003) 022

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure

Scientific paper

10.1088/1126-6708/2003/05/022

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.

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