Hi, thanks for writing to HCM.
As per the description ,it seems that you have a STABLE fracture
of L1 without any neurological deficit.
Your treatment with pain killers and Lumbar corset is going in the right direction but I also suggest you to take Calcium supplementation to hasten the process of bony consolidation.
It is advisable to keep the brace on for atleast 8 weeks. If you can bear the pain arising out of movements during your daily activities, then I think attending your work is not a contraindication.
Avoiding forward bending as it will worsen the condition.
Hope this information is helpful