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Gravity Dual for Reggeon Field Theory and Non-linear Quantum Finance

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  • Yu Nakayama
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    Abstract

    We 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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    File URL: http://arxiv.org/pdf/0906.4112
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    Paper provided by arXiv.org in its series Papers with number 0906.4112.

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    Date of creation: Jun 2009
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    Publication status: Published in Int.J.Mod.Phys.A24:6197-6222,2009
    Handle: RePEc:arx:papers:0906.4112

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    Web page: http://arxiv.org/

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