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We construct the type-IIB AdS4 K supergravity solutions which are dual to the three-dimensional N=4 superconformal field theories that arise as infrared fixed points of circular-quiver gauge theories. These superconformal field theories are labeled by a triple (ρ,...,L) subject to constraints, where ρ and ... are two partitions of a number N, and L is a positive integer. We show that in the limit of large L the localized five-branes in our solutions are effectively smeared, and these type-IIB solutions are dual to the near-horizon geometry of M-theory M2-branes at a C4/(ZkZǩ) orbifold singularity. Our IIB solutions resolve the singularity into localized five-brane throats, without breaking the conformal symmetry. The constraints satisfied by the triple (ρ,...,L), together with the enhanced non-abelian flavour symmetries of the superconformal field theories, are precisely reproduced by the supergravity solutions. As a bonus, we uncover a novel type of "orbifold equivalence" between different quantum field theories and provide quantitative evidence for this equivalence. [ABSTRACT FROM AUTHOR]

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 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]

We lift the bosonic AdS4 × CP3 solution of type IIA supergravity preserving 24 supersymmetries to a D = 10 superspace which has 32 Grassmann-odd directions. The type IIA superspace is obtained from D = 11 via dimensional reduction of the coset superspace OSp(8|4)/SO(7) × SO(1,3) by realizing the latter as a Hopf fibration over the former. This construction generalizes to superspace the Hopf fibration of S7 as a U(1) bundle over CP3, and is suitable for writing the explicit form of Green-Schwarz-type actions encoding the dynamics of the type IIA string and branes in the AdS4 × CP3 superbackground. We show that the OSp(6|4)/U(3) × SO(1,3) supercoset string action describes only a subsector of the complete Green-Schwarz superstring. Thus, even though the superstring equations of motion in the OSp(6|4)/U(3) × SO(1,3) subsector are classically integrable, the fact that the full AdS4 × CP3 superspace is not a supercoset requires the use of more general methods to determine whether the superstring in the complete AdS4 × CP3 superbackground is classically integrable. [ABSTRACT FROM AUTHOR]

We find a new sector of string theory in AdS5 × S5 describing non-relativistic superstrings in that geometry. The worldsheet theory of non-relativistic strings in AdS5 × S5 is derived and shown to reduce to a supersymmetric free field theory in AdS2. Non-relativistic string theory provides a new calculable setting in which to study holography. [ABSTRACT FROM AUTHOR]