The cracks you are seeing result from drying shrinkage. To have them showing at the surface after only two days indicates you have several problems. First, it is likely the mix was overly wet, thus having a high water-cement ratio. This will lead to lower compressive strength and reduced durability. Both will affect the long term performance of the slab.
The second concern is that with cracks showing so quickly, it is likely that many cracks will develop and they will ultimately be fairly wide cracks.
JAE's advice to get a testing lab involved is good. I would take that one step further and make sure the testing laboratory has an engineer experienced in concrete materials and the evaluation of same. There are many things that can be learned from an appropriate investigation of the concrete, most of which are directed at making the contractor perform remediation or corrective action, up to and including removal of the slab and placement of new, properly placed and cured concrete.
If you are early enough in the game to withhold payment, this would be an appropriate step until the issues are satisfactorily resolved.
Keep us informed of the progress.