Anisotropic $2$-form dark energy

We study the dynamics of dark energy in the presence of a 2-form field coupled to a canonical scalar field $\varphi$. We consider the coupling proportional to $e^{-\mu \phi/M_{\rm pl}} H_{\alpha \beta \gamma}H^{\alpha \beta \gamma}$andthescalarpotential$V(\phi) \propto e^{-\lambda \phi/M_{\rm pl}}$,where$H_{\alpha \beta \gamma}$ is the 2-form field strength, $\mu ,\lambda$ are constants, and $M_{\mathrm{p}\mathrm{l}}$ is the reduced Planck mass. We show the existence of an anisotropic matter-dominated scaling solution followed by a stable accelerated fixed point with a non-vanishing shear. Even if $\lambda \ge \mathcal{O}(1)$, it is possible to realize the dark energy equation of state $w_{\mathrm{D}\mathrm{E}}$ close to $-1$ at low redshifts for $\mu \gg \lambda$\mathrm{.}Theexistenceofanisotropichairandtheoscillatingbehaviorof$w_{\rm DE}$ are key features for distinguishing our scenario from other dark energy models like quintessence.