The information metric on the moduli space of instantons with global symmetries

The information metric on the moduli space of instantons with global symmetries
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具有全局对称性的瞬子模空间的信息度量

DOI:
10.1016/j.physletb.2015.12.044
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发表时间:
2015
期刊:
影响因子:
--
通讯作者:
J. Shock
J. Shock
中科院分区:
--
文献类型:
--
作者:
E. Malek;Jeff Murugan;J. Shock

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在这篇笔记中,我们回顾希钦的规定[1]的费舍尔度量作为一个自然的措施,模空间的瞬子编码的时空对称性的经典场论。超对称瞬子的模空间作为一个新兴的空间在规范/引力对偶的意义上的想法的动机,我们扩展的处方编码的基础理论的全局对称性。我们用R2上CPN sigma模型的瞬子解证明了我们的构造.
In this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the sense of the gauge/gravity duality, we extend the prescription to encode also global symmetries of the underlying theory. We exemplify our construction with the instanton solution of the CP N sigma model on R 2.