What are you attempting to achieve? If you just dissolved sugar in water, it's not going to have any of the nutrients that yeast needs. Grains such as barley naturally contain tons of nutrients that yeast thrive on, which is why you normally don't have to add yeast nutrients to beer (although you can). Most fruit must for wines also have a decent amount of yeast nutrients (although nowhere near as much as wort for beer, so yeast nutrient is oftentimes added to must before fermentation).
Since even a healthy fermentation of sugar water would taste quite nasty, I imagine a fermentation where the yeast are stressed and only provided table sugar would be even worse.
If you were planning on distilling your sugar water after it was fermented, we don't talk about distillation on HomeBrewTalk, as it's illegal within the United States (where the forum's servers are located), although I know there are other forums dedicated to talking about distillation.