We obtain all planar four-point correlators of half-BPS operators in N= 4 SYM up to five loops. The ansatz for the integrand is fixed partially by imposing lightcone OPE relations between different correlators. We then fix ...

We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N = 4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain ...

We use the method of asymptotic expansions to study the OPE limit of a fourpoint function of protected operators in N= 4 SYM. We use a new method for evaluating the resulting propagator-type integrals and then extract the ...

We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...

We review the status of integrable models from the point of view of their dynamics and integrability conditions. A few integrable models are discussed in detail. We comment on the use it is made of them in string theory. ...

A new super-Backlund transformation for the N = 1 supersymmetric sinhGordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent ...

Recently, two kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed (Delduc et al 2014 Phys. Rev. Lett. 112 051601; Hollowood et al 2014 J. Phys. A: ...