Scheme dependence and instability of double-trace deformations for gauge fields in AdS$_5$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911501627949056 |
|---|---|
| author | Ishigaki, Shuta Matsumoto, Masataka |
| author_facet | Ishigaki, Shuta Matsumoto, Masataka |
| contents | In holography, double-trace deformations provide a general framework for deforming boundary field theories. In particular, they can be utilized to introduce dynamical gauge fields in the boundary theory through double-trace deformations of bulk gauge fields. In this work, we study this construction in the case where the bulk geometry is asymptotically AdS$_5$, and find that such a system involves tachyon and ghost modes. This instability originates from the logarithmic behavior of the gauge fields in the vicinity of the AdS boundary, which leads to a scheme-dependent ambiguity in the double-trace deformation. We investigate this instability by using both analytical and numerical methods in several holographic setups, including bottom-up models and the top-down D3-D7 construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09322 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scheme dependence and instability of double-trace deformations for gauge fields in AdS$_5$ Ishigaki, Shuta Matsumoto, Masataka High Energy Physics - Theory In holography, double-trace deformations provide a general framework for deforming boundary field theories. In particular, they can be utilized to introduce dynamical gauge fields in the boundary theory through double-trace deformations of bulk gauge fields. In this work, we study this construction in the case where the bulk geometry is asymptotically AdS$_5$, and find that such a system involves tachyon and ghost modes. This instability originates from the logarithmic behavior of the gauge fields in the vicinity of the AdS boundary, which leads to a scheme-dependent ambiguity in the double-trace deformation. We investigate this instability by using both analytical and numerical methods in several holographic setups, including bottom-up models and the top-down D3-D7 construction. |
| title | Scheme dependence and instability of double-trace deformations for gauge fields in AdS$_5$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.09322 |