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In this chapter, we investigate a massive \(U(1)\) gauge holographic model that includes both pure gauge and mixed gauge-gravitational Chern-Simons terms. By taking into account the complete backreaction of the gauge field on the metric, we study the vortical and energy transport sectors. Our results for the chiral vortical conductivity, \(\sigma _V\) , and the chiral magnetic/vortical conductivity of the energy current, \(\sigma ^\varepsilon _B\) , showed that \(\sigma ^\varepsilon _B = \sigma ^\varepsilon _V\) . Notably, we identify a contribution to \(\sigma _V\) that originates from the mixed Chern-Simons term in the massive theory, a feature that is absent in the massless case.

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Holographic Approach to Anomalous Transport in a Massive \(U(1)\) Gauge Theory

  • 会议论文

  • 发表日期：

    2025年

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  • Nishal Rai,
  • Eugenio Megías

摘要

In this chapter, we investigate a massive \(U(1)\) gauge holographic model that includes both pure gauge and mixed gauge-gravitational Chern-Simons terms. By taking into account the complete backreaction of the gauge field on the metric, we study the vortical and energy transport sectors. Our results for the chiral vortical conductivity, \(\sigma _V\) , and the chiral magnetic/vortical conductivity of the energy current, \(\sigma ^\varepsilon _B\) , showed that \(\sigma ^\varepsilon _B = \sigma ^\varepsilon _V\) . Notably, we identify a contribution to \(\sigma _V\) that originates from the mixed Chern-Simons term in the massive theory, a feature that is absent in the massless case.