Gravity Dual for Reggeon Field Theory and Non-linear Quantum Finance
AbstractWe study scale invariant but not necessarily conformal invariant deformations of non-relativistic conformal field theories from the dual gravity viewpoint. We present the corresponding metric that solves the Einstein equation coupled with a massive vector field. We find that, within the class of metric we study, when we assume the Galilean invariance, the scale invariant deformation always preserves the non-relativistic conformal invariance. We discuss applications to scaling regime of Reggeon field theory and non-linear quantum finance. These theories possess scale invariance but may or may not break the conformal invariance, depending on the underlying symmetry assumptions.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0906.4112.
Date of creation: Jun 2009
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Publication status: Published in Int.J.Mod.Phys.A24:6197-6222,2009
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
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