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arXiv · 2008.05493

T-Duality in Nonrelativistic Open String Theory

Jaume Gomis·Ziqi Yan·Matthew Yu
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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.

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Jaume Gomis, Ziqi Yan, Matthew Yu. 2020-08-12. T-Duality in Nonrelativistic Open String Theory. https://doi.org/10.1007/jhep02(2021)087

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