Reggeon场论的引力对偶与非线性量子金融
Gravity Dual for Reggeon Field Theory and Non-linear Quantum Finance
摘要：
本文从对偶引力的观点出发，研究了非相对论性共形场论的尺度不变但不一定是共形不变的形变。我们提出了相应的度量，解决了爱因斯坦方程耦合到一个大规模的矢量场。我们发现，在我们研究的度量类中，当我们假设伽利略不变性时，尺度不变形变总是保持非相对论性的共形不变性。我们讨论了Reggeon场论和非线性量子金融在标度体系中的应用。这些理论具有尺度不变性，但可能会或可能不会打破共形不变性，这取决于基本的对称性假设。
英文摘要：
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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