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We report on the results of a $Suzaku$ observation of the plasma in thefilament located between the two massive clusters of galaxies Abell 399 andAbell 401. Abell 399 ($z$=0.0724) and Abell 401 ($z$=0.0737) are expected to bein the initial phase of a cluster merger. In the region between the twoclusters, we find a clear enhancement in the temperature of the filament plasmafrom 4 keV (expected value from a typical cluster temperature profile) to$kT\sim$6.5 keV. Our analysis also shows that filament plasma is present out toa radial distance of 15' (1.3 Mpc) from a line connecting the two clusters. Thetemperature profile is characterized by an almost flat radial shape with$kT\sim$6-7 keV within 10' or $\sim$0.8 Mpc. Across $r$=8'~from the axis, thetemperature of the filament plasma shows a drop from 6.3 keV to 5.1 keV,indicating the presence of a shock front. The Mach number based on thetemperature drop is estimated to be ${\cal M}\sim$1.3. We also successfullydetermined the abundance profile up to 15' (1.3 Mpc), showing an almostconstant value ($Z$=0.3 solar) at the cluster outskirt. We estimated theCompton $y$-parameter to be $\sim$14.5$\pm1.3\times10^{-6}$, which is inagreement with $Planck$'s results (14-17$\times10^{-6}$ on the filament). Theline of sight depth of the filament is $l\sim$1.1 Mpc, indicating that thegeometry of filament is likely a pancake shape rather than cylindrical. Thetotal mass of the filamentary structure is $\sim$7.7$\times10^{13}~\rmM_{\odot}$. We discuss a possible interpretation of the drop of X-ray emissionat the rim of the filament, which was pushed out by the merging activity andformed by the accretion flow induced by the gravitational force of thefilament.

Properties of the cosmological filament between two clusters: A possible detection of a large-scale accretion shock by $Suzaku$