Oleg A. Soloviev

Towards a field theory of the plateau transitions in the integer quantum Hall effect

Abstract We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the integer quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL( 2, C )/SU(2) WZNW model (at the usual Kac–Moody point and with the level 6≤ k ≤8 ). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results.

N = 1 Supersymmetric Extension of the QCD Effective Action

Abstract We present a new 4D, N = 1 supersymmetric nonlinear σ-model using complex linear and chiral superfields that generalizes the effective action of Gasser and Leutwyler for the massless limit of QCD.

Gauge Dressing of 2D Field Theories

By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik–Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.

Perturbed gauged WZNW models

Abstract We discuss a new type of unitary perturbations around conformal theories inspired by the σ-model perturbation of the nonunitary WZNW model. We show that the nonunitary level k WZNW model perturbed by its sigma model term goes to the unitary level − k WZNW model. When plugged into the gauged WZNW model the given perturbation results in the perturbed gauged WZNW model which no longer describes a coset construction. We consider the BRST invariant generalization of the sigma model perturbation around the gauged WZNW model. In this way we obtain perturbed coset constructions. In the case of the SU m −2 (2) × SU 1 (2)/ SU m −1 (2) coset, the BRST invariant sigma model perturbation is identical to Zamolodchikovs ifΦ (3,1) perturbation of the minimal conformal series. The existence of general geometry flows is clarified.

CONFORMAL POINTS AND DUALITY OF NON-ABELIAN THIRRING MODELS AND INTERACTING WZNW MODELS

We show that the strong coupling phase of the non-Abelian Thirring model is dual to the weakcoupling phase of a system of two WZNW models coupled to each other through a current-current interaction. This latter system is integrable and is related to a perturbed conformal field theory which, in the large |k| limit, has a non-trivial zero of the perturbation-parameter beta function. The non-Abelian Thirring model reduces to a free fermion theory plus a topological field theory at this critical point, which should therefore be identified with the isoscalar Dashen-Frishman conformal point. The relationship with the Gross-Neveu model is discussed.

The WZNW model by a perturbation of Witten's conformal solution

We show that the WZNW model with arbitrary

Relevant perturbations of the SU(1,1) / U(1) coset

\sigma

Gravitationally dressed RG flows and zigzag-invariant strings

-model coupling constant may be viewed as a

Gauged Knizhnik-Zamolodchikov equation

\sigma

Towards conversion of the space of Thirring models into the model-space for groups

-model perturbation of the WZNW theory around the Witten conformal point. In order for the