This is a prospective, single arm, single center study, including two phases. It plans to recruit36 patients with clinically diagnosed primary PTCL who will be treated with Duvelisib and Chidamide. In the first phase Duvelisib is Oral administration at a dose of 25mg twice a day, and every 4 weeks (28 days) was a cycle. Next administration will be depend on whether the efficacy reaches CR in the second phase.