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arXiv · hep-th/0210153

SYM Description of SFT Hamiltonian in a PP-Wave Background

Jaume Gomis·Sanefumi Moriyama·Jongwon Park
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Abstract

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the correct cubic Hamiltonian matrix elements in string field theory and a particular basis of states in gauge theory are used. We proceed to compute the matrix elements of the dilatation operator to order g_2^2 in this same basis. This calculation makes a prediction for string field theory Hamiltonian matrix elements to order g_2^2, which have not yet been computed. However, our gauge theory results precisely match the results of the recent computation by Pearson et al. of the order g_2^2 Hamiltonian matrix elements of the string bit model.

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Jaume Gomis, Sanefumi Moriyama, Jongwon Park. 2002-10-21. SYM Description of SFT Hamiltonian in a PP-Wave Background. https://doi.org/10.1016/s0550-3213(03)00220-7

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