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A Consistent Holographic Analysis of Anomaly-induced Charge Transport in the D3/D7 Model

Shin Nakamura, Kensei Tanaka

Abstract

We propose a scheme to correctly incorporate the contribution of the chiral anomaly in the D3/D7 model to calculate chiral transport phenomena. To ensure the D7-brane wraps S^5 appropriately and the Wess-Zumino term is switched on, we allow the D7-brane to rotate in the compactified extra directions and perform the analysis accordingly. To demonstrate that this calculation procedure works well, we specifically compute the magnetoresistance in the D3/D7 model. We find that a finite axial chemical potential is realized and the negative magnetoresistance is enhanced by the anomaly contribution.

A Consistent Holographic Analysis of Anomaly-induced Charge Transport in the D3/D7 Model

Abstract

We propose a scheme to correctly incorporate the contribution of the chiral anomaly in the D3/D7 model to calculate chiral transport phenomena. To ensure the D7-brane wraps S^5 appropriately and the Wess-Zumino term is switched on, we allow the D7-brane to rotate in the compactified extra directions and perform the analysis accordingly. To demonstrate that this calculation procedure works well, we specifically compute the magnetoresistance in the D3/D7 model. We find that a finite axial chemical potential is realized and the negative magnetoresistance is enhanced by the anomaly contribution.
Paper Structure (10 sections, 58 equations, 2 figures, 1 table)

This paper contains 10 sections, 58 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. Chiral transport phenomena
  3. Previous computations in the D3/D7 model
  4. The D3/D7 model
  5. Negative magnetoresistance without anomaly
  6. Negative magnetoresistance from anomaly
  7. Introduction of axial chemical potential
  8. Nonlinear conductivity and anomaly
  9. Numerical results
  10. Conclusion and discussions

Figures (2)

  • Figure 1: $B_x$ dependence of $\rho_{\mathrm{diff}}$ at various values of $E_x$.
  • Figure 2: Comparison of the $\rho _\mathrm{diff} -B_x$ characteristics between the computations with and without the contributions of the anomaly. Blue circles represent the results of our model with contributions of the anomaly, while orange squares represent the results obtained in (\ref{['eq:rhoAmmon']}) where the contributions of the anomaly are absent.