A spokesman for A:3K's organisers said the England pair "have made it clear they believe it would be inappropriate for them to participate at this time."
It is hoped to reschedule the event for June 2011.
Director of A:3K Terry Byrne added: "We fully understand and respect both players' decisions.
"We could have replaced them with two other players but feel the players involved are six of the best in the world - and that is what we promised we would deliver.
"Having consulted all parties involved, everyone agreed the only decision possible was to postpone the event until next summer when we intend to deliver the same six player line up."