In this anxiety-ridden time, tightly wound New Yorkers are turning to healing practices more commonly associated with New Age-y desert retreats than with the city that never sleeps. But a new crop of hypnotherapists — who dispel outdated notions of witch doctors and carnival tricks — say business is booming.“Hypnosis has nothing to do with this magical malarkey that you’ve seen in the past or in movies,” says Manjit Devgun, a corporate mind coach whose clients include executives from companies like Chanel, the New York Times, Gates Ventures and Squarespace.In a typical session, Devgun gets her client comfortable either laying down or sitting in a soft chair, sometimes with a blanket.