Geometric quantization and non-perturbative Poisson sigma model

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Poisson Sigma Models and Deformation Quantization

This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open string theories. In the classical Hamiltonian approach, we describe the reduced phase space and its structures (symplectic groupoid), explaining in particular the classical origin of the non-commutativity of the strin...

متن کامل

On the Globalization of Kontsevich’s Star Product and the Perturbative Poisson Sigma Model

The globalization of Kontsevich’s local formula (resp., the perturbative expansion of the Poisson sigma model) is described in down-to-earth terms. ∗) Work partially supported by SNF Grant No. 20-63821.00. E-mail address: [email protected] ∗∗) Work partially supported by SNF Grant No. 21-65213.01. E-mail address: [email protected] 1 typeset using PTPTEX.sty

متن کامل

Poisson–Sigma Model for 2D Gravity with Non–Metricity

We present a Poisson-sigma model describing general 2D dilaton gravity with non-metricity, torsion and curvature. It involves three arbitrary functions of the dilaton field, two of which are well-known from metric compatible theories, while the third one characterizes the local strength of non-metricity. As an example we show that α corrections in 2D string theory can generate (target space) no...

متن کامل

Non-geometric Backgrounds and the First Order String Sigma Model

We study the first order form of the NS string sigma model allowing for worldsheet couplings corresponding on the target space to a bi-vector, a two-form and an inverse metric. Lifting the topological sector of this action to three dimensions produces several Wess-Zumino like terms which encode the bi-vector generalization of the Courant bracket. This bracket may be familiar to physicists throu...

متن کامل

On the geometric quantization of twisted Poisson manifolds

We study the geometric quantization process for twisted Poisson manifolds. First, we introduce the notion of Lichnerowicz-twisted Poisson cohomology for twisted Poisson manifolds and we use it in order to characterize their prequantization bundles and to establish their prequantization condition. Next, we introduce a polarization and we discuss the quantization problem. In each step, several ex...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Theoretical and Mathematical Physics

سال: 2006

ISSN: 1095-0761,1095-0753

DOI: 10.4310/atmp.2006.v10.n5.a3