Did Desi Arnaz sleep with Vivian Vance?

There is no definitive evidence to suggest that Desi Arnaz and Vivian Vance had an affair. While rumors and speculation about their relationship existed, both Arnaz and Vance maintained a professional working relationship throughout their time on "I Love Lucy." Vance was married at the time, and although they were close friends, their relationship did not cross into romantic territory.