Receptors in the central nervous system (CNS) to which glutamate binds. Glutamate receptors play a vital role in the mediation of excitatory synaptic transmission and are important for neural communication, memory formation, and learning. The two primary glutamate receptors are named after the agonists that bind to them with high specificity: AMPA (alpha-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid) and NMDA (N-methyl-D-aspartate).