R^4 Couplings in M and Type II Theories
Abstract
We discuss several implications of R^4 couplings in M theory when compactified on Calabi-Yau (CY) manifolds. In particular, these couplings can be predicted by supersymmetry from the mixed gauge-gravitational Chern-Simons couplings in five dimensions and are related to the one-loop holomorphic anomaly in four-dimensional N=2 theories. We find a new contribution to the Einstein term in five dimensions proportional to the Euler number of the internal CY threefold, which corresponds to a one-loop correction of the hypermultiplet geometry. This correction is reproduced by a direct computation in type II string theories. Finally, we discuss a universal non-perturbative correction to the type IIB hyper-metric.
Keywords
Cite
@article{arxiv.hep-th/9707013,
title = {R^4 Couplings in M and Type II Theories},
author = {I. Antoniadis and S. Ferrara and R. Minasian and K. S. Narain},
journal= {arXiv preprint arXiv:hep-th/9707013},
year = {2009}
}
Comments
21 pages, harvmac, misprints corrected, version to appear in Nuclear Physics B