This topic has a Wiibrew article. For more information, check here.
boot2 is the Wii's third-stage bootloader; it is stored in the BroadOn WAD format, which includes a ticket that is encrypted with the common key and signed.
Boot2 versions 1 through 4 are known to exist. 1 is only seen on prerelease consoles including those with the Startup Disc Menu installed, 2 is seen on earlier units, 3 came preinstalled on some newer systems, and 4 was deployed to all Wiis with a system menu update.
Boot2 update controversy
Upon the release of the 4.2 System Menu update, which is believed to be the first time that a boot2 update was deployed to existing systems, it was discovered that a flaw in the ES_ImportBoot function used to update boot2 lead to the bricking of consoles which were installing the update.
It is unknown if this issue was ever encountered outside of this update, since this is believed to be the only time that a boot2 update was deployed to existing systems.
Verification
boot2 is verified by boot1, a program which cannot be changed on normal retail systems after factory setup due to boot0 verifying it against a fixed hash in the non-rewritable OTP. As such, it is impossible to downgrade boot1 to enable the use of a modified boot2 on Wiis which do not have a boot1 version which is vulnerable to the fakesigning bug, therefore making it impossible to install BootMii as boot2 (or other custom boot2 solutions) on these Wiis. These Wiis are known as LU64+ systems.
boot2v0
The existence of boot2v1 (a normal but very early version of boot2) would imply the existence of boot2v0, as with other Wii titles. This title may have been used during the factory process to boot from an unencrypted NAND.