Easiest way is with the eccentric adjustment wrench like this: ( you can use a screwdriver and mallet but it's not the right way to do it. You really need the wrench. (check the tool kit, I don't think the pani had a wrench in it but maybe I'm wrong.)
Motowheels Ultimate Chain Tool: Large Axle
The below pics are from the 1098 manual but procedure is the same. You can do this with the bike on the sidestand.
First with a sharpie pen, and tape measure, measure the distance from the center of the drive shaft sprocket to the center of the rear wheel sprocket. Half that distance, make a mark on the swingarm, it's not super critical just estimate the drive sprocket position.
Then loosen the two hub bolts as shown in the picture.
THe toothed ring can be seen where the #2 in second pic.
On the left side of the swingarm between the sprocket and the hub, you'll see a toothed ring. You take the wrench and slip it over one of the teeth of this ring and turn. If you place on the top you'll push down on the handle to move the eccentric one way, and if you place the wrench on the underside, you'll pull the handle towards you.
I can't remember which one does which as I'm going from memory, but you can observe the chain tighten or loosen depend on which way the eccentric is turned.
THe 1199 calls for more slack than the other duc superbikes, about 52mm. (get a small metric rule like a machinists rule), at the center point you marked, push down gently on the lower section of the chain and allow to spring back. You should have approx 52mm from the underside of the swingarm (NOT THE PLASTIC CHAIN GUIDE) to the center pins of the chain.
When set in the right place, torque the hub bolts starting from the left in a 1-2-1 pattern and torque to 32-43 nm.
I think this makes reasonable sense.