Integrable boundary interaction in 3D target space: The "pillow-brane" model

Sergei L. Lukyanov; Alexander B. Zamolodchikov

doi:10.1016/j.nuclphysb.2013.05.008

Integrable boundary interaction in 3D target space: The "pillow-brane" model

Sergei L. Lukyanov
, Alexander B. Zamolodchikov

Institute for Theoretical Physics

Rutgers - The State University of New Jersey, New Brunswick
Landau Inst. for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	585-613
Number of pages	29
Journal	Nuclear Physics, Section B
Volume	873
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2013.05.008
State	Published - Aug 21 2013

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10.1016/j.nuclphysb.2013.05.008

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title = "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.",

author = "Lukyanov, \{Sergei L.\} and Zamolodchikov, \{Alexander B.\}",

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T1 - Integrable boundary interaction in 3D target space

T2 - The "pillow-brane" model

AU - Lukyanov, Sergei L.

AU - Zamolodchikov, Alexander B.

PY - 2013/8/21

Y1 - 2013/8/21

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84878225713

U2 - 10.1016/j.nuclphysb.2013.05.008

DO - 10.1016/j.nuclphysb.2013.05.008

M3 - Article

AN - SCOPUS:84878225713

SN - 0550-3213

VL - 873

SP - 585

EP - 613

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Integrable boundary interaction in 3D target space: The "pillow-brane" model

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