Integrable boundary interaction in 3D target space: the "pillow-brane" model
Abstract
We propose a model of boundary interaction, with three-dimensional target space, and the boundary values of the field X∈ R3 constrained to lay on a two-dimensional surface of the "pillow" shape. We argue that the model is integrable, and suggest that its exact solution is described in terms of certain linear ordinary differential equation.
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