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arXiv 2008.11307hep-thmath-phmath.MPnlin.SI
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(1+1)维多标量场理论的推广

Extended multi-scalar field theories in (1+1) dimensions

A. R. Aguirre, E. S. Souza

摘要:

给出了支持BPS(Bogomol'nyi-Prasad-Sommerfield)扭解的(1+1)维多标量场理论的显式构造.该结构是基于所谓的可拓方法的思想。特别是,几个新的有趣的两个和三个标量场理论明确地从著名的单标量场理论之间的非平凡耦合构造。通过构造,原单场系统的BPS解也将成为多标量系统的BPS解,因此我们将分析它们对于所构造模型的线性稳定性。

英文摘要:

We present the explicit construction of some multi-scalar field theories in (1+1) dimensions supporting BPS (Bogomol'nyi--Prasad--Sommerfield) kink solutions. The construction is based on the ideas of the so-called extension method. In particular, several new interesting two-scalar and three-scalar field theories are explicitly constructed from non-trivial couplings between well-known one-scalar field theories. The BPS solutions of the original one-field systems will be also BPS solutions of the multi-scalar system by construction, and therefore we will analyse their linear stability properties for the constructed models.

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