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arXiv · 2306.00677

Modes of the Sakai-Sugimoto soliton

Markus A. G. Amano·Sven Bjarke Gudnason
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Abstract

The instanton in the Sakai-Sugimoto model corresponds to the Skyrmion on the holographic boundary - which is asymptotically flat - and is fundamentally different from the flat Minkowski space Yang-Mills instanton. We use the Atiyah-Patodi-Singer index theorem and a series of transformations to show that there are 6k zeromodes - or moduli - in the limit of infinite 't Hooft coupling of the Sakai-Sugimoto model. The implications for the low-energy baryons - the Skyrmions - on the holographic boundary, is a scale separation between 2k "heavy" massive modes and 6k-9 "light" massive modes for k>1; the 9 global transformations that correspond to translations, rotations and isorotations remain as zeromodes. For k=1 there are 2 "heavy" modes and 6 zeromodes due to degeneracy between rotations and isorotations.

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Markus A. G. Amano, Sven Bjarke Gudnason. 2023-06-01. Modes of the Sakai-Sugimoto soliton. https://doi.org/10.1088/1751-8121%2Fad742c

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