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Holographic Skyrmions.

Sutcliffe, P.M. (2015) 'Holographic Skyrmions.', Modern physics letters B., 29 (16). p. 1540051.

Abstract

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.

Item Type:Article
Keywords:Skyrmions, Nuclei, Holographic QCD.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1142/S0217984915400515
Publisher 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 http://www.worldscientific.com/worldscinet/mplb
Date accepted:22 April 2015
Date deposited:03 August 2015
Date of first online publication:June 2015
Date first made open access:16 June 2016

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