On the Poisson–Lie T–plurality of boundary conditions

نویسنده

  • Cecilia Albertsson
چکیده

Conditions for the gluing matrix defining consistent boundary conditions of twodimensional nonlinear σ–models are analyzed and reformulated. Transformation properties of the right–invariant fields under Poisson–Lie T–plurality are used to derive a formula for the transformation of the boundary conditions. Examples of transformation of D–branes in two and three dimensions are presented. We find several obstacles in this procedure so that only rather special configurations of D– branes can be transformed under Poisson–Lie T–plurality in this way.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Poisson–Lie T–plurality as canonical transformation

We generalize the prescription realizing classical Poisson–Lie T–duality as canonical transformation to Poisson–Lie T–plurality. The key ingredient is the transformation of left–invariant fields under Poisson–Lie T–plurality. Explicit formulae realizing canonical transformation are presented and the preservation of canonical Poisson brackets and Hamiltonian density is shown. PACS: 02.30.Ik, 04....

متن کامل

Poisson–Lie T–plurality of three–dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle

We look for 3–dimensional Poisson–Lie dualizable sigma models that satisfy the vanishing β–function equations with constant dilaton field. Using the Poisson–Lie T–plurality we then construct 3–dimensional sigma models that correspond to various decompositions of Drinfeld double. Models with nontrivial dilaton field may appear. It turns out that for “traceless” dual algebras they satisfy the van...

متن کامل

2 00 5 The Lie - Poisson structure of the LAE - α equation

This paper shows that the time t map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a Lie-Poisson bracket constructed via a non-smooth reduction for the corresponding diffeomorphism groups. It is also shown that the geodesic spray for Neumann and mixed boundary conditions is smooth, a result already known for Dirichlet boundary c...

متن کامل

Poisson–Lie T–plurality of three–dimensional conformally invariant sigma models

Starting from the classification of 6–dimensional real Drinfeld doubles and their decomposition into Manin triples we construct 3–dimensional Poisson–Lie T–dual or more precisely T–plural sigma models. Of special interest are those that are conformally invariant. Examples of models that satisfy vanishing β–function equations with zero dilaton are presented and their duals are calculated. It tur...

متن کامل

On Contact and Symplectic Lie Algeroids

In this paper, we will study compatible triples on Lie algebroids. Using a suitable decomposition for a Lie algebroid, we construct an integrable generalized distribution on the base manifold. As a result, the symplectic form on the Lie algebroid induces a symplectic form on each integral submanifold of the distribution. The induced Poisson structure on the base manifold can be represented by m...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008