There is nothing in that PDF says anything about a capacitor, if you are referring to the set of contacts labeled S those are two normally close contacts on M2 that open when M2 is energized, they are used to connect the 10,11,12 ends of the winding together to form a WYE when M2 is not energized, some reduced voltage starters (which is what this is called) have these contacts on the run contactor or as a separate two pole normally closed contactor.
The reason its called a low voltage start is each individual winding is rated 230 volts, when connected in a WYE they will see 1.732 volts less then 230, when each pole is connected in series then each pole is rated for 460 volts, but when wired in a WYE each individual winding will see 138.57 volts with a 240 volt supply or in series they will see 277.14 volts with a 480 volt supply.
If you look at the truth chart below each starter diagram you will see the S contacts as open when in run mode, these motors do not have to be run with a WYE start contactor, you can wire the motor as a delta start and run by following the connection diagram for just the run side using either high (480 volts) or low (240 volts) connection, it will start like any 9 lead 3-phase motor with full torque that a normal motor would have of its size.
When wired as accross the line start 12-1 will always connect to L1, 10-2 will always connect to L2, and 11-3 will always connect to L3, for either high or low voltage, then follow the normal 9 lead wiring, for high (480v) connection 7-4, 8-5, 9-6 cap off as such, 12-1-L1, 10-2-L2, 11-3-L3, for low voltage (240v) 7-6-12-1-L1, 8-4-10-2-L2, 9-5-11-3-L3.
This will let you run the motor just like any delta 3-phase motor without a WYE start contactor.