Most of the variable names use "standard" notation. Below are some specifics:
Y or X are gross output measures, Y = real GDP; but for disposable income the term used is WA, or more specifically, after tax compensation (wages) of employees. YTR is transfer or non wage income.
A or AA represents household assets or net worth.
R represents an interest rate, and combined with S is a short term (3 month treasury bill), with M for mortgage rate, and A as the final letter means after tax.
K is the capital stock designated for its specific sector, D = durables and H for housing.
P represents the price index with designation for the specific sector, e.g., PCS for consumer services, etc., H for all households.
M = money, where the demand relationships are separated into MH for households and MF for firms.
POP is population. Note the Fairmodel is estimated in a per capita form this many variables are divided by POP.