Carbon isotopes are variants of the carbon atom that have the same number of protons but differ in their number of neutrons, resulting in different atomic masses. The two most important carbon isotopes in archaeology are carbon-12 (^{12}C) and carbon-13 (^{13}C), which play a crucial role in isotope analysis for understanding ancient diets. By examining the ratios of these isotopes in human and animal remains, researchers can infer dietary habits and the types of food consumed by past populations.