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Non-compact nonlinear sigma models
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DOI：10.1016/j.physletb.2016.07.035.png)
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Abstract
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The target space of a nonlinear sigma model is usually required to be positive definite to avoid ghosts. We introduce a unique class of nonlinear sigma models where the target space metric has a Lorentzian signature, thus the associated group being non-compact. We show that the would-be ghost associated with the negative direction is fully projected out by 2 second-class constraints, and there exist stable solutions in this class of models. This result also has important implications for Lorentz-invariant massive gravity: There exist stable nontrivial vacua in massive gravity that are free from any linear vDVZ-discontinuity and a Lambda(2) decoupling limit can be defined on these vacua. (C) 2016 The Authors. Published by Elsevier B.V.
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GRAVITATION
GRAVITON
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