No Forbidden Landscape in String/M-theory

Details No Forbidden Landscape in String/M-theory No Forbidden Landscape in String/M-theory

2009-09-24

arxiv.org/abs/0909.4297v3

JHEP 1001:030,2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v2: energy condition on c-theorem is corrected, v3: extra assumption in the proof is discussed due to a sign error i

Scientific paper

10.1007/JHEP01(2010)030

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.

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