Modes of the Sakai-Sugimoto soliton
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910593039990784 |
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| author | Amano, Markus A. G. Gudnason, Sven Bjarke |
| author_facet | Amano, Markus A. G. Gudnason, Sven Bjarke |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_00677 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Modes of the Sakai-Sugimoto soliton Amano, Markus A. G. Gudnason, Sven Bjarke High Energy Physics - Theory Mathematical Physics 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. |
| title | Modes of the Sakai-Sugimoto soliton |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2306.00677 |