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Rational Q-systems at Root of Unity I. Closed Chains
Jue Hou, Yunfeng Jiang, Yuan Miao
The solution of Bethe ansatz equations for XXZ spin chain with the parameter being a root of unity is infamously subtle. In this work, we develop the rational -system for th…
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…
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…
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…