Compactification stability by global k-monopole in higher dimensional σ-model

Conference on Theoretical Physics and Nonlinear Phenomena 2016

Prasetyo, Ilham^1 ; Ramadhan, Handhika S.^1

Departemen Fisika, FMIPA, Universitas Indonesia, Depok

16424, Indonesia^1

关键词: Compactification;    Dimensional reduction;    Effective potentials;    Einstein equations;    Higher-dimensional;    Nonlinear sigma model;    Sigma model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/856/1/012008/pdf
DOI  :  10.1088/1742-6596/856/1/012008

来源: IOP

【 摘 要 】

We investigate compactification by k-monopole in nonlinear sigma model with kinetic terms K(X) = - X - β-2X2. We use both Einstein equations and effective potential from dimensional reduction to determine radius of compactification. The compactification channels can be found by introducing effective potential, and its derivatives shall determine the stability.