A memory is a retained impression as currently represented by the mind.
Memories are often recalled, reinterpreted, and altered by the mind. In this sense, memory is defined within TST very specifically, but it reflects the established scientific understanding of memory as retained information or representations of past experience. TST makes no new scientific claims here.
For memory, here’s another word painting. In psychology, memory generally refers to our ability to encode, retain, and retrieve information. A memory refers to something retained. But memories take many forms. Episodic memory involves personal experiences, semantic memory involves learned knowledge, and procedural memory involves learned skills, like playing the drums. Some memories are easily recalled, while others influence us without ever entering conscious awareness. And memories are not perfect recordings of the past. They can be reconstructed, reinterpreted, and altered by new experiences. These are all parts of the same complex process science continues to explore.