Hyperbolic Geometry of Superstring Perturbation Theory
Abstract
We explore the hyperbolic structure of the RNS formulation of perturbative superstring theory. The aim is to provide a systematic method to explicitly compute on-shell and off-shell closed superstring amplitudes with an arbitrary number of external states and loops. Using hyperbolic geometry, we construct gluing-compatible off-shell string measures by giving a set of gluing-compatible local coordinates around external punctures and a gluing-compatible distribution of picture-changing operators. These amplitudes satisfy the required off-shell factorization property. This provides a formalism within which string-theory amplitudes can be computed explicitly once the corresponding string measures are expressed in terms of certain coordinates on Teichm\"uller space, the so-called Fenchel-Nielsen coordinates.
Cite
@article{arxiv.1703.10563,
title = {Hyperbolic Geometry of Superstring Perturbation Theory},
author = {Seyed Faroogh Moosavian and Roji Pius},
journal= {arXiv preprint arXiv:1703.10563},
year = {2022}
}
Comments
v2: 68+appendices+references=94 pages; references added; typos fixed