Path of the Inferno

Barbarians of this subclass burn with unending fury

Conflagrate

Starting when you choose this path at 3rd level, you light on fire when you rage. If you do so, for the duration of your rage you add 1d4 fire damage to each successful attack role. When your rage ends, you suffer one level of exhaustion.

Fiery Speed

You can make a weapon attack as bonus action on each of your turns

Phoenix Fire

you gain Regeneration of 1d6+ CON modifier, at the beginning of each of your turns

Fiery Rebuke

Starting at 14th level, when you take damage from a creature that is within 5 feet of you, that creature takes 2d8 fire damage