With the Liberal Democratic Party presidential election now set for Sept. 29, a number of challengers to LDP President and Prime Minister Yoshihide Suga, who has said he intends to stand for re-election despite record-low poll numbers, have started to emerge.

Three key LDP figures — former Prime Minister Shinzo Abe, Deputy Prime Minister and Finance Minister Taro Aso and LDP Secretary-General Toshihiro Nikai — have said they will continue to back Suga. The three are also leaders, officially or in practice, of party factions with a combined total of 196 members, a slight majority of LDP Diet members.

However, while LDP veterans such as Abe, Aso and Nikai have fewer worries about keeping their seats in an upcoming general election, many younger LDP Diet members face tough campaigns and are concerned about whether Suga continuing as prime minister would help or hurt their re-election chances. They wonder whether it’s time to dump Suga and get someone who is more popular with the public.