Is there yet any information regarding the topic?
Does Arkombine have their own production infrastructure?
I’m especially looking for info on possible Caldari State corporations that are part of ground forces on the science and production field. For example who if any corporation produces weaponry.
If you scroll down this page you will find four rifles for each empire and their manufacturers (in this case, Core Complexion, Duvolle, Kaalakiota and Khanid Innovations). I don’t keep up much with Vanguard so it is possible new gadgets have been added.
DUST 514 had equipment from a variety of manufacturers. Picking this page at random you can find a bunch of entities producing forge guns, Ishukone, Kaalakiota, Imperial Armaments, Guristas, usual suspects really. To be honest everyone wants to kill someone in this setting so there is no shortage of arms manufacturers to speak of. The empires themselves can also make some of their stuff.
The military-industrial complex of empires is fairly well-represented in game, each empire will have three confirmed military suppliers right off the bat (T2 ship suppliers). Then you have a bunch of corporations which will have arms manufacturing in their description. The Caldari State is highly militaristic so it is fair to assume that arms development and manufacturing takes place in each megacorp, with perhaps Ishukone, Lai Dai, Kaalakiota and Wiyrkomi leading the way (going off in-game representation and Dust equipment). Then you also have subsidiaries such as Deep Core Mining (forge guns), Propel Dynamics, Rapid Assembly etc. which will either produce on their own or collaborate with parent/allied megacorps to adapt their technologies to military use.
Cromeaux Inc is present on the battlefield too. Its logo is prominently displayed on the biomass containers left behind discarded/destroyed warclone bodies.