O(D, D) gauge fields in the T-dual string Lagrangian

• Published in: The journal of high energy physics Vol. 2019; no. 2; pp. 1 - 16
• Main Authors: Hatsuda, Machiko, Siegel, Warren
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-02-2019; Springer Nature B.V; SpringerOpen
• Subjects: Bosonic Strings; Classical and Quantum Gravitation; Coordinate transformations; Elementary Particles; Gauge invariance; Gauge Symmetry; Gravitation; Gravitational fields; High energy physics; Invariance; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Duality; String Theory; Gauge Symmetry; String Duality; Bosonic Strings
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2019)010

A
bstract
We present the string Lagrangian with manifest T-duality. Not only zero-modes but also all string modes are doubled. The gravitational field is an O(D, D) gauge field. We give a Lagrangian version of the section condition for the gauge invariance which compensates the O(D, D) transformation from the gravitational field and the GL(2D) coordinate transformation. We also show the gauge invariance of the line element of the manifest T-duality space and the O(D, D) condition on the background. Different sections describe dual spaces.