Abelian vortices from sinh-Gordon and Tzitzeica equations
نویسندگان
چکیده
منابع مشابه
sinh-Gordon, cosh-Gordon, and Liouville equations for strings and multistrings in constant curvature spacetimes.
We find that the fundamental quadratic form of classical string propagation in 2 + 1 dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de Sitter and anti de Sitter spacetimes (as well as in the 2 + 1 black hole anti de Sitter spacetime), all three equations must be included to cover the generic str...
متن کاملOn noncommutative sinh-Gordon equation
We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space. This generalization gives a noncommutative version of the sinh-Gordon equation with extra constraints, which can be expressed as global conserved currents. PACS: 11.10.Nx, 02.30.Ik
متن کاملM ar 1 99 6 Sinh - Gordon , Cosh - Gordon and Liouville Equations for Strings and Multi - Strings in Constant Curvature
We find that the fundamental quadratic form of classical string propagation in 2 + 1 dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de Sitter and anti de Sitter spacetimes (as well as in the 2 + 1 black hole anti de Sitter spacetime), all three equations must be included to cover the generic str...
متن کاملNon-Abelian vortices and non-Abelian statistics.
We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude th...
متن کاملFredholm Determinants and the mKdV / Sinh - Gordon Hierarchies
For a particular class of integral operators K we show that the quantity φ := log det (I + K)log det (/ K) satisfies both the integrated mKdV hierarchy and the Sinh-Gordon hierarchy. This proves a conjecture of Zamolodchikov.
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: Physics Letters B
سال: 2012
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2012.02.078