Duality and Triality Families of Analytic Black Hole Solutions

Abstract: Recent progress in holographic realization of strange metal transport has given us new insights into getting new black hole solutions. In this paper, we consider the $S$-completion and $ST$-completion of the Gubser-Rocha model. The dyonic black holes of the S-type Gubser-Rocha model come in families as $\mathbb{Z}_4$ quartets. For the $ST$-completion, solutions form sextets under $\mathbb{Z}_6$ symmetry. The charge vectors of the solutions in each $\mathbb{Z}_6$-family form a hexagon, realizing six-fold way in gravitational systems.