Application of Kawaguchi Lagrangian formulation to string theory
Abstract
String-scalar duality proposed by Y. Hosotani and membrane-scalar duality by A. Sugamoto are reexamined in the context of Kawaguchi Lagrangian formulation. The characteristic feature of this formulation is the indifferent nature of fields and parameters. Therefore even the exchange of roles between fields and parameters is possible. In this manner, dualities above can be proved easily. Between Kawaguchi metrics of the dually related theories, a simple relation is found. As an example of the exchange between fermionic fields and parameters, a replacement of the role of Grassmann parameters of the 2-dimensional superspace by the 9th component of Neveu-Schwarz-Ramond (NSR) fermions is studied in superstring model. Compactification is also discussed in this model.
Cite
@article{arxiv.1508.02168,
title = {Application of Kawaguchi Lagrangian formulation to string theory},
author = {Ryoko Yahagi and Akio Sugamoto},
journal= {arXiv preprint arXiv:1508.02168},
year = {2015}
}
Comments
12 pages, minor modification, published in Phys. Lett. B