What is the main conflict in The Real Thing by Tom Stoppard?

The play focuses upon Henry, who, much like Stoppard, is a successful playwright. Henry is married to an actress, Charlotte, who is playing the lead in his current play; he has fallen in love with another actress, Annie, for whom he soon leaves Charlotte. But is his new love "the real thing?" Underlying the major themes of love and adultery are related concerns. Does art influence life?