Ward Identity and Homes' Law in a Holographic Superconductor with Momentum Relaxation

Understand

We study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role.

• First, we find that there are constraints between electric, thermoelectric and thermal conductivities.
• The constraints are analytically derived by the Ward identities regarding diffeomorphism from field theory perspective.
• We confirm them by numerically computing all two-point functions from holographic perspective.