Strings in Background Fields
Abstract
In this paper free quantum theories are derived solely from their underlying symmetry group without reference to a Lagrangean or classical physics and then interactions are introduced by making use of automorphism of the symmetry algebra. It is shown how the solution of a theory interacting with background fields is obtained exactly and purely algebraically from the free theory by the action of a linear operator. The method is first applied to the harmonic oscillator interacting with a conserved current and in a second example to string theory in the presence of constant dilaton, Kalb-Ramond or gravitational fields. The derived interaction for the Kalb-Ramond background is periodic and the interactions with a dilaton respectively a gravitational field exhibit a strong-weak-coupling duality. Furthermore, it is proposed in this paper to interpret T-duality as a position-momentum duality on compact space.
Keywords
Cite
@article{arxiv.1612.01830,
title = {Strings in Background Fields},
author = {Harun Omer},
journal= {arXiv preprint arXiv:1612.01830},
year = {2016}
}