English

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

High Energy Physics - Theory 2019-02-20 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1810.04761,
  title  = {O(D,D) gauge fields in the T-dual string Lagrangian},
  author = {Machiko Hatsuda and Warren Siegel},
  journal= {arXiv preprint arXiv:1810.04761},
  year   = {2019}
}

Comments

18 pages, Lualatex; v2: version appears in JHEP, added references, detailed explanations are added, Lualatex file available at http://insti.physics.sunysb.edu/~siegel/tex.shtml

R2 v1 2026-06-23T04:35:31.840Z