Dual Non-Lorentzian Backgrounds for Matrix Theories
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913856971866112 |
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| author | Blair, Chris D. A. Lahnsteiner, Johannes Obers, Niels A. Yan, Ziqi |
| author_facet | Blair, Chris D. A. Lahnsteiner, Johannes Obers, Niels A. Yan, Ziqi |
| contents | We study properties of non-Lorentzian geometries arising from BPS decoupling limits of string theory that are central to matrix theory and the AdS/CFT correspondence. We focus on duality transformations between ten-dimensional non-Lorentzian geometries coupled to matrix theory on D-branes. We demonstrate that T- and S-duality transformations exhibit novel asymmetric properties: depending not only on the choice of transformation but also on the value of the background fields, the codimension of the foliation structure of the dual non-Lorentzian background may be different or the same. This duality asymmetry underlies features observed in the study of non-commutativity and Morita equivalence in matrix and gauge theory. Finally, we show how the holographic correspondence involving non-commutative Yang-Mills fits into our framework, from which we further obtain novel holographic examples with non-Lorentzian bulk geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20310 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual Non-Lorentzian Backgrounds for Matrix Theories Blair, Chris D. A. Lahnsteiner, Johannes Obers, Niels A. Yan, Ziqi High Energy Physics - Theory We study properties of non-Lorentzian geometries arising from BPS decoupling limits of string theory that are central to matrix theory and the AdS/CFT correspondence. We focus on duality transformations between ten-dimensional non-Lorentzian geometries coupled to matrix theory on D-branes. We demonstrate that T- and S-duality transformations exhibit novel asymmetric properties: depending not only on the choice of transformation but also on the value of the background fields, the codimension of the foliation structure of the dual non-Lorentzian background may be different or the same. This duality asymmetry underlies features observed in the study of non-commutativity and Morita equivalence in matrix and gauge theory. Finally, we show how the holographic correspondence involving non-commutative Yang-Mills fits into our framework, from which we further obtain novel holographic examples with non-Lorentzian bulk geometries. |
| title | Dual Non-Lorentzian Backgrounds for Matrix Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.20310 |