No Forbidden Landscape in String/M-theory
High Energy Physics - Theory
2010-01-22 v3
Abstract
Scale invariant but non-conformal field theories are forbidden in (1+1) dimension, and so should be the corresponding holographic dual gravity theories. We conjecture that such scale invariant but non-conformal field configurations do not exist in the string/M-theory. We provide a proof of this conjecture in the classical supergravity limit under a certain gauge condition. Our proof does also apply in higher dimensional scale invariant but non-conformal field configurations, which suggests that scale invariant but non-conformal field theories may be forbidden in higher dimensions as well.
Cite
@article{arxiv.0909.4297,
title = {No Forbidden Landscape in String/M-theory},
author = {Yu Nakayama},
journal= {arXiv preprint arXiv:0909.4297},
year = {2010}
}
Comments
14 pages, v2: energy condition on c-theorem is corrected, v3: extra assumption in the proof is discussed due to a sign error in the previous version