Journal of High Energy Physics, June, 2014, Vol.2014(6), p.1(35)
Byline: Katrin Becker (1), Daniel Robbins (2), Edward Witten (3,4) Keywords: Superstrings and Heterotic Strings; M-Theory Abstract: In the approximation corresponding to the classical Einstein equations, which is valid at large radius, string theory compactification on a compact manifold M of G .sub.2 or Spin(7) holonomy gives a supersymmetric vacuum in three or two dimensions. Do [alpha] .sup. corrections to the Einstein equations disturb this statement? Explicitly analyzing the leading correction, we show that the metric of M can be adjusted to maintain supersymmetry. Beyond leading order, a general argument based on low energy effective field theory in spacetime implies that this is true exactly (not just to all finite orders in [alpha] .sup. ). A more elaborate field theory argument that includes the massive Kaluza-Klein modes matches the structure found in explicit calculations. In M-theory compactification on a manifold M of G .sub.2 or Spin(7) holonomy, similar results hold to all orders in the inverse radius of M -- but not exactly. The classical moduli space of G .sub.2 metrics on a manifold M is known to be locally a Lagrangian submanifold of H .sup.3(M, R ) a H .sup.4(M, R ). We show that this remains valid to all orders in the [alpha] .sup. or inverse radius expansion. Author Affiliation: (1) George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A& M University, College Station, TX, 77843-4242, U.S.A (2) Institute for Theoretical Physics, University of Amsterdam, Postbus 94485, 1090 GL, Amsterdam, The Netherlands (3) School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540, U.S.A (4) Department of Physics, University of Washington, Seattle, Washington, 98195, U.S.A Article History: Registration Date: 10/06/2014 Received Date: 15/04/2014 Accepted Date: 14/05/2014 Online Date: 10/06/2014 Article note: ArXiv ePrint: 1404.2460
Resveratrol -- Analysis
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