LONDON — Jonathan Kent’s SRO Chichester Festival Theater production of Noel Coward’s comedy of marital (bad) manners “Private Lives” will transfer to the West End’s Gielgud theater in June.Presented in the West End by Chichester’s producing arm CFT Enterprises plus Old Vic Productions, Duncan Weldon and APT Productions, the transfer, designed by Anthony Ward, retains its original cast. Anna Chancellor and Toby Stephens play two star-crossed divorcees with Anthony Calf and Anna-Louise Plowman as their new spouses. Coward’s regularly revived play was last seen in the West End in 2010 in Richard Eyre’s production starring Kim Cattrall. The current production previews from June 22 with a July 3 opening. It will follow the strictly limited engagement of Peter Morgan’s “The Audience” (Feb. 15-June 15) starring Helen Mirren reprising her role as Queen Elizabeth.