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From the Sakai-Sugimoto Model to the Generalized Skyrme Model
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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.
Forward citations
Cited by 2 Pith papers
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Holographic Soliton Crystals for Dense Nuclear Matter and Neutron Stars
A crystal of holographic baryons in the Witten-Sakai-Sugimoto model yields a nuclear-matter equation of state compatible with neutron-star observations.
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The Tachyon Chern-Simons action with a generic tachyon field, and baryons in V-QCD
General Tachyon-Chern-Simons forms are built via Quillen superconnections for arbitrary tachyon matrices, and baryon number equals the superconnection instanton number even with massive, flavor-dependent quarks.
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