Dual non-Lorentzian backgrounds for matrix theories
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 demons...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repository: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:dnet:digitalcsic_::01e19504ad7ee7d2f147a14b8106a958 |
| Online Access: | http://hdl.handle.net/10261/427513 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105006829301&doi=10.1007%2FJHEP05%282025%29200&partnerID=40&md5=f3648203db1b22af7489d561b7823ee6 |
| Access Level: | Open access |
| Keyword: | AdS-CFT Correspondence M(atrix) Theories Non-Commutative Geometry String Duality |
| Summary: | 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. © The Author(s) 2025. |
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