This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …

Conformal sigma models and Wess–Zumino–Witten (WZW) models on coset superspaces
provide important examples of logarithmic conformal field theories. They possess many …

Several string backgrounds which arise in the AdS/CFT correspondence are described by
integrable sigma-models. Their target space is always a\({\mathbb {Z} _4}\) supercoset (a …

We elaborate the formulation of the $\mathsf {CP^{n-1}} $ sigma model with fermions as a
gauged Gross-Neveu model. This approach allows to identify the super phase space of the …

A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by
adjoining to the superalgebra its adjoint representation as an Abelian ideal. When the …

We construct 1D and 2D long-range SU (N) spin models as parent Hamiltonians associated
with infinite matrix product states. The latter are constructed from correlators of primary fields …

In the present paper we revisit the so-called Haldane limit, ie a particular continuum limit,
which leads from a spin chain to a sigma model. We use the coherent state formulation of …

This paper is part of an effort to gain further understanding of 2D logarithmic conformal field
theories (LCFTs) by exploring their lattice regularizations. While all work so far has dealt with …

We show which multi-trace structures are compatible with the symmetrisation of local
operators in\(\mathcal {N}= 4\) super Yang-Mills when they are organised into …

Strong evidence for dual superconformal symmetry in N= 6 superconformal Chern-Simons
theory has fueled expectations that the AdS/CFT dual geometry AdS 4× CP 3 is self-dual …