A quantum duality principle for coisotropic subgroups and Poisson quotients
نویسندگان
چکیده
منابع مشابه
Quantum Duality Principle for Quantum Grassmannians
The quantum duality principle (QDP) for homogeneous spaces gives four recipes to obtain, from a quantum homogeneous space, a dual one, in the sense of Poisson duality. One of these recipes fails (for lack of the initial ingredient) when the homogeneous space we start from is not a quasi-affine variety. In this work we solve this problem for the quantum Grassmannian, a key example of quantum pro...
متن کاملCoisotropic embeddings in Poisson manifolds
We consider existence and uniqueness of two kinds of coisotropic embeddings and deduce the existence of deformation quantizations of certain Poisson algebras of basic functions. First we show that any submanifold of a Poisson manifold satisfying a certain constant rank condition, already considered by Calvo and Falceto (2004), sits coisotropically inside some larger cosymplectic submanifold, wh...
متن کاملDuality, Quotients, and Currents
We study the generalization of R → 1/R duality to arbitrary conformally invariant sigma models with an isometry. We show that any pair of dual sigma models can be represented as quotients of a self-dual sigma model obtained by gauging different combinations of chiral currents. This observation is used to clarify the interpretation of the generalized duality as a symmetry of conformal field theo...
متن کاملQuivers, Quotients, and Duality
We give a direct computational proof of N = 2 Seiberg duality for arbitrary quivers, and find the action on the Fayet-Iliopoulos parameters. We also find a new analogous classical duality for Kähler potentials of N = 1 quivers that generalizes the trivial duality Gr(N,N+M) ≃ Gr(M,N+M) for Grassmannians. [email protected] Roč[email protected]
متن کاملQuantum equivalence in Poisson-Lie T-duality
We prove that, general σ-models related by Poisson–Lie T-duality are quantum equivalent under one-loop renormalization group flow. We reveal general properties of the flows, we study the associated generalized coset models and provide explicit examples.
متن کاملذخیره 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 Mathematics
سال: 2006
ISSN: 0001-8708
DOI: 10.1016/j.aim.2005.01.009