Thats a very good question. Well, the landlord can eject/evict the sublessee from his property, he just lacks "legal" privity for suing him for his property interest, that is, backrent.
I guess to argue by analogy, he should be able to sue the sublessee if he is creating a nuisance, I mean if he can evict him, then I don't see why he can't "sue" him. Maybe not in law though, but definately in equity. BUT likely even in Law, the rule of Keeble v. Hickerngill is "whenever the acts of another malicously harm a property interest, a cause of action lies in all cases." Trespass on the case II, indirect damages to property. So, there is a power to "sue" in both dimensions of the word.
if its a poor answer sorry, I did my best. MG