The term 'in a trance' is used to describe a state of deep concentration or absorption. It can also refer to a hypnotic state induced by a mesmerist or other practitioner. The two crossword solutions for this term are 'UNDER' (5 letters) and 'MESMERIZED' (10 letters). Both words refer to the idea of being in a trance-like state, with 'UNDER' suggesting being UNDER the influence of something, and 'MESMERIZED' referring to the practice of mesmerism.