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Stability of Holographic Superconductors · Around

2010

Stability of Holographic Superconductors

Kanno, Sugumi, Soda, Jiro

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We study the dynamical stability of holographic superconductors.

We first classify perturbations around black hole background solutions into vector and scalar sectors by means of a 2-dimensional rotational symmetry.
We prove the stability of the vector sector by explicitly constructing the positive definite Hamiltonian.
To reveal a mechanism for the stabilization of a superconducting phase, we construct a quadratic action for the scalar sector.

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