T-duality in nonrelativistic open string theory

A bstract 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 [1]. We study T-duality transformations in the path integral for the sigma model that describes no...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2021; no. 2; pp. 1 - 28
Main Authors: Gomis, Jaume, Yan, Ziqi, Yu, Matthew
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021
Springer Nature B.V
SpringerOpen
Subjects:
Big Bang theory
Bosonic Strings
Classical and Quantum Gravitation
D-branes
Dilatons
Elementary Particles
High energy physics
Measurement
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativistic theory
Relativity Theory
Sigma Models
String Duality
String Theory
Transformations (mathematics)
Yang-Mills theory
Sigma Models
D-branes
String Duality
Bosonic Strings
ISSN:1029-8479, 1126-6708, 1029-8479
Online Access:Get full text
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Summary:A bstract 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 [1]. 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 found in [1] 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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ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP02(2021)087