If you want some nice looking breathable concrete floors polish them with a 400 grit for low gloss, 800 for semi, 1500 for high gloss I do. Add a deep penetrating lithium silicate densifer and acetone for transport that evaporates fast. You can add natural earth or iron oxides, reds have the highest VOCs. As a finish sealer add a 100% + permeable siloxane/silane w/40% natural silicone_sand solids that is n/a to low MVOC, deep penetrating. Get a test sample, water should surface bead & not penetrate so it can evaporate. If not use more solids. It will also reduce efflorescence, resist chemical spills, salts, freeze-thaw on exterior verticals.
I'm guessing good that your slab cannot dry down due to a torn plastic or other vapor barrier and wet soils, drying in is the only choice to avoid vapor lock. The last thing like the walls needed is a toxic vapor interior barrier/trap as in high VOC/formaldehyde fungi producing epoxies, acrylics, asphalt based sealers, or harsh solvent transports. A water based transport siloxane will do to deposit soilds, it is usually milky white but dries clear, no residual oder.....The manufacture should spec out the perm rating, I have seen as high as 110%. Get all materials at most concrete supply places or kits:
http://www.runyonsurfaceprep.com/Ameripolish-Products.dept
As I said above, in conjunction, the RH of the indoors needs to be maintained at all times to 35-40% for a healthy building. Come back for tips on how to design hygrothermal interior mass and passive humidity buffering w/o overheating. There should be no need for an active system if designed properly your interior should maintain a comfortable level despite your high heat/humidity indexes.
Burms do little to stop gravity drainage under foundations, where ever there is field lows water will drain through soil to that area and due to hydraulic pressure and temperature differentials, capillary actions, wick right up into concrete, especially if the lower plastic barrier has failed and you have a low RH interior. The best defense keep water as far away as possible.
Good luck!