Operator Formalism for Bosonic Beta-gamma Fields on General Algebraic Curves
نویسندگان
چکیده
ABSTRACT An operator formalism for bosonic β − γ system on arbitrary algebraic curves is introduced. The classical degrees of freedom are identified and their commutation relations are postulated. The explicit realization of the algebra formed by the fields is given in the Hilbert space equipped with a bilinear form. The construction is based on the ”gaussian” representation for β − γ system on the complex sphere [Alvarez-Gaumé et al, Nucl. Phys. B 311 (1988) 333]. Detailed computations are provided for 2 and 4 point correlation functions.
منابع مشابه
Preprint PAR-LPTHE 97-42 OPERATOR FORMALISM FOR BOSONIC BETA-GAMMA FIELDS ON GENERAL ALGEBRAIC CURVES
An operator formalism for bosonic system on arbitrary algebraic curves is introduced. The classical degrees of freedom are identi ed and their commutation relations are postulated. The explicit realization of the algebra formed by the elds is given in the Hilbert space equipped with a bilinear form. The construction is based on the "gaussian" representation for system on the complex sphere [Alv...
متن کاملJa n 19 97 QUANTUM FIELD THEORIES ON ALGEBRAIC CURVES
In this talk the main features of the operator formalism for the b − c systems on general algebraic curves developed in refs. [1]–[2] are reviewed. The first part of the talk is an introduction to the language of algebraic curves. Some explicit techniques for the construction of meromorphic tensors are explained. The second part is dedicated to the discussion of the b−c systems. Some new result...
متن کاملFree Field Realizations of Affine Current Superalgebras, Screening Currents and Primary Fields
In this paper free field realizations of affine current superalgebras are considered. Based on quantizing differential operator realizations of the corresponding basic Lie superalgebras, general and simple expressions for both the bosonic and the fermionic currents are provided. Screening currents of the first kind are also presented. Finally, explicit free field realizations of primary fields ...
متن کاملAlgebraic and geometric aspects of generalized quantum dynamics.
We briefly discuss some algebraic and geometric aspects of the generalized Poisson bracket and non–commutative phase space for generalized quantum dynamics, which are analogous to properties of the classical Poisson bracket and ordinary symplectic structure. \pacs{} Typeset using REVTEX 1 Recently, one of us (SLA) has proposed a generalization of Heisenberg picture quantum mechanics, termed gen...
متن کاملThe Algebraic Formalism of Soliton Equations over Arbitrary Base Fields
The aim of this paper is to offer an algebraic construction of infinitedimensional Grassmannians and determinant bundles. As an application we construct the τ -function and formal Baker-Akhiezer functions over arbitrary fields, by proving the existence of a “formal geometry” of local curves analogous to the geometry of global algebraic curves. Recently G. Anderson ([A]) has constructed the infi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997