We prove a generalization of Kirchhoff's matrix-tree theorem in which a large class of
combinatorial objects are represented by non-Gaussian Grassmann integrals. As a special …

Izergin–Korepin 19-vertex model has defied understanding for many years. We show in this
paper that its continuum limit involves in fact a non compact conformal field theory (the so …

A bstract Theories of anti-commuting scalar fields are non-unitary, but they are of interest
both in statistical mechanics and in studies of the higher spin de Sitter/Conformal Field …

By a combination of analytical and numerical techniques, we analyze the continuum limit of
the integrable 3⊗ 3¯⊗ 3⊗ 3¯⋯ sl (2/1) superspin chain. We discover profoundly new …

In the paper [L. Fei et al., J. High Energy Phys. 09 (2015) 076 JHEPFG 1029-8479
10.1007/JHEP09 (2015) 076] a cubic field theory of a scalar field σ and two anticommuting …

A bstract We study the dual description of the η-deformed OSP (N| 2m) sigma model in the
asymptotically free regime (N> 2m+ 2). Compared to the case of classical Lie groups, for …

We propose exact formulas for the 2-and 3-point functions of the WZNW model on the non-
compact supergroup OSP (1| 2). Using the path integral approach that was recently …

A unitary orthosymplectic quantum supergroup is introduced. Two covariant differential
calculi on the quantum superspace SP q 1| 2 are presented. The h-deformed symplectic …

Building on our previous work for a 2 (2) and a 3 (2) we explore systematically the
continuum limit of gapless a N− 1 (2) vertex models and spin chains. We find the existence …

Using methods from the conformal bootstrap, we study the properties of Noether currents in
the critical $ O (n) $ loop model. We confirm that they do not give rise to a Kac-Moody …