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Holographic Skyrmions

Sutcliffe, P.M.

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Skyrmions are topological solitons that describe baryons within a nonlinear theory of pions. In holographic QCD, baryons correspond to topological solitons in a bulk theory with an extra spatial dimension. Thus, the three-dimensional Skyrmion lifts to a four-dimensional holographic Skyrmion in the bulk. We begin this review with a description of the simplest example of this correspondence, where the holographic Skyrmion is exactly the self-dual Yang–Mills instanton in flat space. This places an old result of Atiyah and Manton within a holographic framework and reveals that the associated Skyrme model extends the nonlinear pion theory to include an infinite tower of vector mesons, with specific couplings for a BPS theory. We then describe the more complicated curved space version that arises from the string theory construction of Sakai and Sugimoto. The basic concepts remain the same but the technical difficulty increases as the holographic Skyrmion is a curved space version of the Yang–Mills instanton, so self-duality and integrability are lost. Finally, we turn to a low-dimensional analog of holographic Skyrmions, where aspects such as multi-baryons and finite baryon density are amenable to both numerical computation and an approximate analytic treatment.


Sutcliffe, P. (2015). Holographic Skyrmions. Modern Physics Letters B, 29(16), Article 1540051.

Journal Article Type Article
Acceptance Date Apr 22, 2015
Publication Date Jun 20, 2015
Deposit Date Jul 31, 2015
Publicly Available Date Jun 16, 2016
Journal Modern Physics Letters B
Print ISSN 0217-9849
Electronic ISSN 1793-6640
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Volume 29
Issue 16
Article Number 1540051
Keywords Skyrmions, Nuclei, Holographic QCD.


Accepted Journal Article (1.1 Mb)

Copyright Statement
Electronic version of an article published as Modern Physics Letters B, Volume 29, Issue 16, 2015, 1540051, 10.1142/S0217984915400515 © copyright World Scientific Publishing Company

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