10,035 research outputs found
Duality in Complex sine-Gordon Theory
New aspects of the complex sine-Gordon theory are addressed through the
reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A
dual transformation between the theory for the coupling constant \b > 0 and
the theory for \b < 0 is given which agrees with the Krammers-Wannier duality
in the context of perturbed conformal field theory. The B\"{a}cklund transform
and the nonlinear superposition rule for the complex sine-Gordon theory are
presented and from which, exact solutions, solitons and breathers with U(1)
charge, are derived. We clarify topological and nontopological nature of
neutral and charged solitons respectively, and discuss about the duality
between the vector and the axial U(1) charges.Comment: 10 pages, LaTe
Solutions of Conformal Turbulence on a Half Plane
Exact solutions of conformal turbulence restricted on a upper half plane are
obtained. We show that the inertial range of homogeneous and isotropic
turbulence with constant enstrophy flux develops in a distant region from the
boundary. Thus in the presence of an anisotropic boundary, these exact
solutions of turbulence generalize Kolmogorov's solution consistently and
differ from the Polyakov's bulk case which requires a fine tunning of
coefficients. The simplest solution in our case is given by the minimal model
of and moreover we find a fixed point of solutions when
become large.Comment: 10pages, KHTP-93-07, SNUCTP-93-3
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