String and M-theory deformations of manifolds with special holonomy

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Published 28 July 2005 • Published under licence by IOP Publishing Ltd
, , Citation Hong Lü et al JHEP07(2005)075 DOI 10.1088/1126-6708/2005/07/075

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Author affiliations

1 George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX 77843-4242, U.S.A.

2 The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, U.K.

3 DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA, U.K.

Dates

  1. Received 4 May 2005
  2. Accepted 7 July 2005
  3. Published

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1126-6708/2005/07/075

Abstract

The R4-type corrections to ten and eleven dimensional supergravity required by string and M-theory imply corrections to supersymmetric supergravity compactifications on manifolds of special holonomy, which deform the metric away from the original holonomy. Nevertheless, in many such cases, including Calabi-Yau compactifications of string theory and G2-compactifications of M-theory, it has been shown that the deformation preserves supersymmetry because of associated corrections to the supersymmetry transformation rules, Here, we consider Spin(7) compactifications in string theory and M-theory, and a class of non-compact SU(5) backgrounds in M-theory. Supersymmetry survives in all these cases too, despite the fact that the original special holonomy is perturbed into general holonomy in each case.

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10.1088/1126-6708/2005/07/075