Sasuke Uchiha does not possess a specific katana with a unique name in the Naruto series. While Sasuke has been depicted using a sword on occasion, it is not a defining aspect of his character or his regular arsenal.

In some instances, Sasuke has been shown using a sword that is often referred to as the "Kusanagi Sword" or "Sword of Kusanagi." However, it is important to note that this sword is not unique to Sasuke but is a legendary weapon in Japanese mythology and folklore.

The Kusanagi sword, in the context of the Naruto series, is a reference to the legendary weapon associated with Orochimaru, another character in the series. Sasuke acquires this sword from Orochimaru and occasionally wields it, but it is not specifically attributed to Sasuke, and he does not have a unique name for the sword.

In summary, Sasuke Uchiha does not have a distinct or named katana associated with his character.