BMN operators and string field theory
Copyright policy )BMN operators and string field theory
We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find a mild but important discrepancy with the SFT results. If the modified $O(g_2)$ matrix elements are used, the $O(g_2^2)$ anomalous dimensions are exactly reproduced without the need for a contact interaction in the single string sector.
11 pages; v2: references added
High Energy Physics - Theory, \(pp\)-wave background, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, 3-string vertex, super-Yang-Mills dilatation operator, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, \(pp\)-wave background, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, 3-string vertex, super-Yang-Mills dilatation operator, Yang-Mills and other gauge theories in quantum field theory
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