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arXiv · 1711.03873

From the Sakai-Sugimoto Model to the Generalized Skyrme Model

Lorenzo Bartolini·Stefano Bolognesi·Andrea Proto
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Abstract

We derive the generalized Skyrme model as a low-energy effective model of the Sakai-Sugimoto model. The novelty with the past is the presence of the sextic term equal to the topological charge squared. This term appears when the $\omega$ meson, and the tower of states on top of it, are integrated out. We claim that, in the small 't Hooft coupling limit, the instanton is well described by a Skyrmion arising from the low energy effective Lagrangian of the Sakai-Sugimoto model. The sextic term plays a dominant role in this limit. Moreover, when a pion mass term is added we recover the BPS Skyrme model in the small 't Hooft coupling limit.

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Lorenzo Bartolini, Stefano Bolognesi, Andrea Proto. 2017-11-10. From the Sakai-Sugimoto Model to the Generalized Skyrme Model. https://doi.org/10.1103/physrevd.97.014024

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