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In this paper we place observational constraints on the interaction andspatial curvature in the holographic dark energy model. We consider three kindsof phenomenological interactions between holographic dark energy and matter,i.e., the interaction term $Q$ is proportional to the energy densities of darkenergy ($\rho_{\Lambda}$), matter ($\rho_{m}$), and matter plus dark energy($\rho_m+\rho_{\Lambda}$). For probing the interaction and spatial curvature inthe holographic dark energy model, we use the latest observational dataincluding the type Ia supernovae (SNIa) Constitution data, the shift parameterof the cosmic microwave background (CMB) given by the five-year WilkinsonMicrowave Anisotropy Probe (WMAP5) observations, and the baryon acousticoscillation (BAO) measurement from the Sloan Digital Sky Survey (SDSS). Ourresults show that the interaction and spatial curvature in the holographic darkenergy model are both rather small. Besides, it is interesting to find thatthere exists significant degeneracy between the phenomenological interactionand the spatial curvature in the holographic dark energy model.

Probing interaction and spatial curvature in the holographic dark energy model