Triglycerides are the form that fat takes in most food that we eat and are important in metabolism and bodily energy production.  Provided that you are in otherwise good health and not malnourished, low levels of triglycerides are not usually a problem, as their levels can vary in different ethnic groups and are generally not known to be a cause of disease.  The only link to disease that I could uncover in the medical literature is that very low triglycerides are sometimes a marker of autoimmune disorders such as lupus, pulmonary fibrosis, and also can sometimes be seen in rare congenital disorders.  Talk this over with your doctor to find out if more testing should be done.