From the Sakai-Sugimoto Model to the Generalized Skyrme Model

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.

17 pages, 6 figures. v2: minor corrections

References in corpus (4)

• Chiral Dynamics of Baryons from String Theory
• A BPS Skyrme model and baryons at large Nc
• Holographic Duals of Long Open Strings
• Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions

Cited by in corpus (5)

• Exploring the generalized loosely bound Skyrme model
• Realistic classical binding energies in the $\omega$-Skyrme model
• Near-BPS baby Skyrmions
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Dielectric Skyrmions