The quantum poisson-Lie T-duality and mirror symmetry
نویسندگان
چکیده
منابع مشابه
Quantum 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 کاملPoisson - Lie T duality ∗
Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the dual pair of σ-models defined by the double SO(3,1) in the Iwasawa decomposition .
متن کاملMirror Symmetry is T-Duality
It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y . The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed. † email: ...
متن کاملHamiltonian Approach to Poisson Lie T-Duality
The Hamiltonian formalism offers a natural framework for discussing the notion of Poisson Lie T-duality. This is because the duality is inherent in the Poisson structures alone and exists regardless of the choice of Hamiltonian. Thus one can pose alternative dynamical systems possessing nonabelian T-duality. As an example, we find a dual Hamiltonian formulation of the O(3) nonlinear σ-model. In...
متن کاملSu(2) Poisson-lie T Duality *
Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the dual pair of σ-models defined by the double SO(3,1) in the Iwasawa decomposition .
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ژورنال
عنوان ژورنال: Journal of Experimental and Theoretical Physics
سال: 1999
ISSN: 1063-7761,1090-6509
DOI: 10.1134/1.558947