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arXiv · 2502.20310

Dual Non-Lorentzian Backgrounds for Matrix Theories

Chris D. A. Blair·Johannes Lahnsteiner·Niels A. Obers·Ziqi Yan
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Abstract

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.

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Chris D. A. Blair, Johannes Lahnsteiner, Niels A. Obers, Ziqi Yan. 2025-02-27. Dual Non-Lorentzian Backgrounds for Matrix Theories. https://doi.org/10.1007/jhep05(2025)200

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