Boost is basically pressure built up because of restriction of air getting into cylinder. Bigger cylinder lets more air in and that means less pressure in intake(boost). If you have more pressure you can force more air into cylinder. That means more oxygen and you will be able to burn more fuel and generate more power. Also more stress on parts like crank and rods. Engine size , head flow and cam design can all effect boost given a blower that moves same amount of air.
Different design blowers can make more air with less overdrive, That means less power needed to spin blower. More power to spin the tires. Example a 14/71 Hi Helix(more rotor twist) at 50% overdrive takes 300 HP to spin it. A screw style blower takes almost nothing power wise to make same or more boost. Even at a lot higher over drive like 120% over engine speed. Motor at 10,000 and blower at 22,000 rpm rotor speed.