Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N = 4 SYM theory by the scaling, function which coincides at strong coupling with the energy density of ...

The spectrum of open strings with integrable Y = 0 brane boundary conditions is analyzed in planar AdS/CFT. We give evidence that it can be described by the same Y-system that governs the spectrum of closed strings in ...

The reflection matrices of multi magnon bound states are obtained explicitely by exploiting the Yangian symmetry of boundary scattering on the Y = 0 maximal giant graviton brane.

We consider N = 1 supersymmetric sine-Gordon theory (SSG) with supersymmetric integrable boundary conditions (boundary SSG = BSSG). We find two possible ways to close the boundary bootstrap for this model, corresponding ...

Boundary form factor axioms are derived for the matrix elements of local boundary operators in integrable (1 + 1)-dimensional boundary quantum field theories using the analyticity properties of correlators; via the boundary ...

We consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked ...

We consider quantum field theories with boundary on a codimension one hyperplane. Using 1+1 dimensional examples, we clarify the relation between three parameters characterizing one-point functions, finite size corrections ...

Classical sine-Gordon theory on a strip with integrable boundary conditions is considered analyzing the static (ground state) solutions, their existence, energy and stability under small perturbations. The classical analogue ...

Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A2 Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying ...

We consider the k-folded sine-Gordon model, obtained from the usual version by identifying the scalar field after k periods of the cosine potential. We examine (1) the ground state energy split, (2) the lowest lying ...

We derive a relation between leading finite size corrections for a (1 + 1)-dimensional quantum field theory on a strip and scattering data, which is very similar in spirit to the approach pioneered by Luscher for periodic ...

The two-frequency sine-Gordon model is examined. The focus is mainly on the case when the ratio of the frequencies is 1/2, given the recent interest in the literature. We discuss the model both in a perturbative (form ...

Local Lagrangians are derived for a class of SU(2) invariant sigma models admitting two commuting Kac-Moody algebras at the level of Poisson brackets. The one-loop renormalizability of these models is established. Some ...

We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first ...

The ground state energy of a boundary quantum field theory is derived in planar geometry in D + 1-dimensional spacetime. It provides a universal expression for the Casimir energy which exhibits its dependence on the boundary ...

The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman-Thun diagrams and ...

The bound state spectrum and the associated reflection factors are determined for the sine-Gordon model with arbitrary integrable boundary condition by closing the bootstrap. Comparing the symmetries of the bound state ...

We examine the finite volume spectrum and boundary energy in boundary sine-Gordon theory, based on our recent results obtained by closing the boundary bootstrap. The spectrum and the reflection factors are checked against ...

The classification of the coadjoint orbits of the Virasoro algebra is reviewed and then applied to analyze the so-called global Liouville equation. The review is self-contained, elementary and is tailor-made for the ...

Coupling constant renormalization is investigated in two dimensional σ models related by non-Abelian duality transformations. In this respect it is shown that in the one loop order of perturbation theory the duals of a one ...

The problem of quantum equivalence between non-linear sigma models related by Abelian or non-Abelian T-duality is studied in perturbation theory. Using the anomalous Ward identity for Weyl symmetry we derive a relation ...

Some of the motivations for as well as the main points of the quantization of the Nappi-Witten string in the light-cone gauge are reviewed. © 1995 Akadémiai Kiadó.

Various examples of target space duality transformations are investigated up to two loop order in perturbation theory. Our results show that when using the tree level ('naive') transformation rules the dual theories are ...

A modification of the Abelian duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) sigma-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. ...