Depending on context may stand for 'Bad Ass' , 'Bachelard of Art' or 'Breast Augmentation'. Honestly I have never seen it to be used for 'bad ass' as everyone here seems to be suggesting but there you go.
What should be used for bloating/constipation after BA (breast augmentation) surgery?
You are a real BA (bad ass)
He has recently finished his BA course in photography.