Comparing Double String Theory Actions
Abstract
Aimed to a deeper comprehension of a manifestly T-dual invariant formulation of string theory, in this paper a detailed comparison between the non-covariant action proposed by Tseytlin and the covariant one proposed by Hull is done. These are obtained by making both the string coordinates and their duals explicitly appear, on the same foot, in the world-sheet action, so "doubling" the string coordinates along the compact dimensions. After a discussion of the nature of the constraints in both the models and the relative quantization, it results that the string coordinates and their duals behave like "non-commuting" phase space type coordinates but their expressions in terms of Fourier modes generate the oscillator algebra of the standard bosonic string formulation. A proof of the equivalence of the two formulations is given. Furthermore, open-string solutions are also discussed.
Keywords
Cite
@article{arxiv.1312.7367,
title = {Comparing Double String Theory Actions},
author = {Luca De Angelis and S. J. Gabriele Gionti and Raffaele Marotta and Franco Pezzella},
journal= {arXiv preprint arXiv:1312.7367},
year = {2014}
}
Comments
32 pages, LaTex2e. Typos corrected. Version matching the one published in JHEP, with additional references and some more clarifications concerning the action (1) and its symmetries