https://doi.org/10.1140/epjc/s10052-020-8024-5
Regular Article - Theoretical Physics
Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles
Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, Rio de Janeiro, 20550-013, Brazil
* e-mail: romulo.pereira@uerj.br
** e-mail: analisadorcetico@gmail.com
Received:
5
April
2020
Accepted:
6
May
2020
Published online:
25
May
2020
By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled quantum field theory dual to a bulk condensate of magnetic monopoles. The results obtained show that a conclusion previously derived in the literature, namely, the vanishing of holographic DC conductivities in 3-dimensional strongly coupled quantum field theories dual to a 4-dimensional bulk magnetic monopole condensate, also applies to the calculation of diagonal and Hall conductivities in the presence of a topological 
-term. Therefore, the condensation of magnetic monopoles in the bulk is suggested as a rather general and robust mechanism to generate dual strongly coupled quantum field theories with zero DC conductivities. The interplay between frequency, -angle and the characteristic mass scale of the monopole condensate on the results for the conductivities is also investigated.
© The Author(s), 2020
