27 citations · 244 across the 58 of their papers we have counts for
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A Topological Field Theory for the triple Milnor linking coefficient
Franco Ferrari, Marcin R. Piatek, Yani Zhao
The subject of this work is a three-dimensional topological field theory with a non-semisimple group of gauge symmetry with observables consisting in the holonomies of connections…
On a path integral representation of the Nekrasov instanton partition function and its Nekrasov--Shatashvili limit
Franco Ferrari, Marcin Piątek
In this work we study the Nekrasov--Shatashvili limit of the Nekrasov instanton partition function of Yang--Mills field theories with supersymmetry and gauge group SU(…
On a singular Fredholm-type integral equation arising in N=2 super Yang-Mills theories
Franco Ferrari, Marcin Piatek
In this work we study the Nekrasov-Shatashvili limit of the Nekrasov instanton partition function of Yang-Mills field theories with N=2 supersymmetry and gauge group SU(n). The the…
Liouville theory, N=2 gauge theories and accessory parameters
Franco Ferrari, Marcin Piatek
The correspondence between the semiclassical limit of the DOZZ quantum Liouville theory and the Nekrasov-Shatashvili limit of the N = 2 (Omega-deformed) U(2) super-Yang-Mills theor…
On a possible approach to general field theories with nonpolynomial interactions
Franco Ferrari
In this work a class of massive scalar field theories with self-interactions described by a general potential is studied. Under the sole condition that the potential admits the Fou…
On Abelian Multi-Chern-Simons Field Theories
Franco Ferrari
In this paper a class of multi-Chern-Simons field theories which is relevant to the statistical mechanics of polymer systems is investigated. Motivated by the problems which one en…
Chern-Simons Field Theories with Non-semisimple Gauge Group of Symmetry
Franco Ferrari
Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelia…
Bosonic Field Propagators on Algebraic Curves
Franco Ferrari, Jan Sobczyk
In this paper we investigate massless scalar field theory on non-degenerate algebraic curves. The propagator is written in terms of the parameters appearing in the polynomial defin…
Field Theories of Topological Random Walks
Franco Ferrari, Ignazio Lazzizzera
In this work we derive certain topological theories of transverse vector fields whose amplitudes reproduce topological invariants involving the interactions among the trajectories…
Toward a Field Theoretical Description of Topologically Linked Polymers
F. Ferrari, I. Lazzizzera
In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical…
Topological Entanglement of Polymers and Chern-Simons Field Theory
Franco Ferrari, Ignazio Lazzizzera
In recent times some interesting field theoretical descriptions of the statistical mechanics of entangling polymers have been proposed by various authors. In these approaches, a si…
Chern-Simons Field Theories in the Coulomb Gauge
Franco Ferrari, Ignazio Lazzizzera
In this talk some recent results in the quantization of Chern-Simons field theories in the Coulomb gauge will be presented. In the first part, the consistency of the Chern-Simons f…
Operator Formalism for Bosonic Beta-Gamma Fields on General Algebraic Curves
Franco Ferrari, Jan T. Sobczyk
An operator formalism for bosonic systems on arbitrary algebraic curves is introduced. The classical degrees of freedom are identified and their commutation relations are pos…
Monodromy Properties of the Energy Momentum Tensor on General Algebraic Curves
Franco Ferrari, Jan T. Sobczyk
A new approach to analyze the properties of the energy-momentum tensor of conformal field theories on generic Riemann surfaces (RS) is proposed. is decomposed into $N…
Quantum Field Theories on Algebraic Curves
F. Ferrari, J. T. Sobczyk
In this talk the main features of the operator formalism for the systems on general algebraic curves developed in refs. [1-2] are reviewed. The first part of the talk is an i…
Topologically Nontrivial Sectors of the Maxwell Field Theory on Algebraic Curves
Franco Ferrari
In this paper the Maxwell field theory is considered on the symmetric algebraic curves. As a first result, a large family of nondegenerate metrics is derived for general curv…
Dirac Quantization of the Chern-Simons Field Theory in the Coulomb Gauge
Franco Ferrari, Ignazio Lazzizzera
In this letter the Chern-Simons field theories are studied in the Coulomb gauge using the Dirac's canonical formalism for constrained systems. As a strategy, we first work out the…
Topologically Nontrivial Sectors of Maxwell Field Theory on Riemann Surfaces
Franco Ferrari
In this paper the Maxwell field theory is considered on a closed and orientable Riemann surface of genus . The solutions of the Maxwell equations corresponding to nontrivial v…
Perturbative Analysis of Chern-Simons Field Theory in the Coulomb Gauge
Franco Ferrari, I. Lazzizzera
In this paper we analyse the perturbative aspects of Chern-Simons field theories in the Coulomb gauge. We show that in the perturbative expansion of the Green functions there are n…
Biharmonic Conformal Field Theories
Franco Ferrari
The main result of this paper is the construction of a conformally covariant operator in two dimensions acting on scalar fields and containing fourth order derivatives. In this way…
Field Theories on the Poincaré Disk
Franco Ferrari
The massive scalar field theory and the chiral Schwinger model are quantized on a Poincaré disk of radius . The amplitudes are derived in terms of hypergeometric functions. The…
Operator formalism for b-c systems with on general algebraic curves
F. Ferrari, J. Sobczyk
In this letter we develope an operator formalism for the systems with conformal weight defined on a general closed and orientable Riemann surface. The advantage of our…
Gauge Field Theories on Riemann Surfaces
Franco Ferrari
In this paper the free gauge field theories on a Riemann surface of any genus are quantized in the covariant gauge. The propagators of the gauge fields are explicitly derived and t…
Operator Formalism on General Algebraic Curves
F. Ferrari, J. Sobczyk
The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an…