Student or Learner
I wonder if there is any difference between "1" and "2".
1. I don't want you to sit around.
2. I don't want you sitting around.
Where both the infinitive and the participle form are admitted, several factors influence the choice.
The infinitive is biased towards potentiality and is therefore favoured in hypothetical and nonfactual contexts, whereas the participle is favoured in factual contexts.
In keeping with this,
I don't want you to sit around.
suggests that the hearer is not sitting around now but (s)he might be in the future, which the spoeaker does not want.
I don't want you sitting around.
Factual. The referent of you is sitting around, which idea the speaker does not particularly favour.