T-Duality in Nonrelativistic Open String Theory

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.

arXiv comment32 pages, 2 figures; v2: One clarification added in section 3.1, minor typos fixed

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• Aspects of Nonrelativistic Strings
• Torsional string Newton-Cartan geometry for non-relativistic strings
• A Non-Relativistic Limit of NS-NS Gravity
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• Torsional Deformation of Nonrelativistic String Theory
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Open String and Yang-Mills Theory
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Non-Riemannian isometries from double field theory
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• KLT Factorization of Nonrelativistic String Amplitudes
• The Panorama of Spin Matrix Theory
• Branched SL(2,Z) Duality
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Coset space actions for nonrelativistic strings
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Quantization of Interacting Galilean Field theories
• Nonrelativistic expansion of M2 branes and M theory backgrounds
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Non-relativistic string monodromies
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• KLT Factorization of Winding String Amplitudes
• D-Brane Actions in Non-Relativistic String Theory and T-Duality
• Holographic duals of $\mathcal{N}=1$ quivers in 5d and their nonrelativistic limits
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities