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Something like that has been pursued for ages, but never found practical application.
The laser power required to cause air breakdown and the ionisation channel required is simply too great. Any laser capable of doing that would be a potent weapon in its own right, and probably not require the tazer part to be effective.
There is no need for UV lasers to do any of this - near-IR lasers like pulsed 1064 Nd:YAG units can cause air breakdown just fine - but at power levels that pose a very serious hazard... not only in terms of eye damage, but also of setting things on fire.
Right, and these lasers can do a little bit more than just set things on fire, they can vaporize metal and cause air to superheat much the same way as a lightning bolt does and have output powers in the 100's of KW and in the case of Nd/Yag they can be pulses of several TWs. Nothing you'd ever want to mess with on a good day!