Bell, 22, missed out on a place in the senior squad for the trip to South Africa despite scoring 70 on his Test debut against the West Indies at the Oval last week.
The 24-year-old Pietersen was born in Pietermaritzburg but qualifies for England next month and has already stated his ambition to play Test cricket for his adopted country.
The Academy will run from October 10 to December 16 and most of the players can expect to go to the United Arab Emirates and Sri Lanka with an England 'A' squad in late February.
In the UAE they will play a number of One-day matches before travelling to Sri Lanka for a One-day tournament against Sri Lanka 'A' and Pakistan 'A' and two-four day games against Sri Lanka 'A'.
Squad: Ian Bell (Warwickshire), Rikki Clarke (Surrey), Paul Franks (Nottinghamshire), Alex Gidman (Gloucestershire), David Harrison (Glamorgan), Jon Lewis (Gloucestershire), Sajid Mahmood (Lancashire), Kevin Pietersen (Nottinghamshire), Michael Powell (Glamorgan), Matt Prior (Sussex), Owais Shah (Middlesex), Graeme Swann (Northamptonshire)
Part-time students: Alistair Cook (Essex), Steven Davies (Worcestershire), Adam Harrison (Glamorgan), James Hildreth (Somerset), Liam Plunkett (Durham), David Stiff (Kent), Luke Wright (Sussex).