T-duality in nonrelativistic open string theory
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Publication:2025981
DOI10.1007/JHEP02(2021)087zbMATH Open1460.83096arXiv2008.05493MaRDI QIDQ2025981
Author name not available (Why is that?)
Publication date: 17 May 2021
Published in: (Search for Journal in Brave)
Abstract: Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory. We study T-duality transformations in the path integral for the sigma model that describes nonrelativistic open string theory coupled to an arbitrary closed string background, described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field. We prove that T-duality transformations map nonrelativistic open string theory to relativistic and noncommutative open string theory in the discrete light cone quantization (DLCQ), a quantization scheme relevant for Matrix string theory. We also show how the worldvolume dynamics of nonrelativistic open string theory described by the Dirac-Born-Infeld type action maps to the Dirac-Born-Infeld actions describing the worldvolume theories of the DLCQ of open string theory and noncommutative open string theory.
Full work available at URL: https://arxiv.org/abs/2008.05493
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