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We study open and closed string interactions in the type IIB plane wave background using open+closed string field theory. We reproduce all string amplitudes from the dual N=2 Sp(N) gauge theory by computing matrix elements of the dilatation operator. A direct diagrammatic correspondence is found between string theory and gauge theory Feynman diagrams. The prefactor and Neumann matrices of open+closed string field theory are separately realized in terms of gauge theory quantities. [Copyright &y& Elsevier]

We study string interactions among string states with arbitrary impurities in the type IIB plane wave background using string field theory. We reproduce all string amplitudes from gauge theory by computing matrix elements of the dilatation operator in a previously proposed basis of states. A direct correspondence is found between the string field theory and gauge theory Feynman diagrams. [Copyright &y& Elsevier]

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 g22 in this same basis. This calculation makes a prediction for string field theory Hamiltonian matrix elements to order g22, 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 g22 Hamiltonian matrix elements of the string bit model. [Copyright &y& Elsevier]

We find a Penrose limit of AdS5×T1,1 which gives the pp-wave geometry identical to the one that appears in the Penrose limit of AdS5×S5. This leads us to conjecture that there is a subsector of the corresponding N=1 gauge theory which has enhanced N=4 supersymmetry. We identify operators in the N=1 gauge theory with stringy excitations in the pp-wave geometry and discuss how the gauge theory operators fall into N=4 supersymmetry multiplets. We find similar enhancement of symmetry in some other models, but there are also examples in which there is no supersymmetry enhancement in the Penrose limit. [Copyright &y& Elsevier]

We find regular string duals of three-dimensional N=1 SYM with a Chern–Simons interaction at level k for SO and Sp gauge groups. Using the string dual we exactly reproduce the conjectured pattern of supersymmetry breaking proposed by Witten by showing that there is dynamical supersymmetry breaking for k while supersymmetry remains unbroken for k⩾h/2, where h is the dual Coxeter number of the gauge group. We also find regular string duals of four-dimensional N=1 SYM for SO and Sp gauge groups and exactly reproduce the expected pattern of chiral symmetry breaking Z2h→Z2 by analyzing the symmetries of the string solution. [Copyright &y& Elsevier]