Alpha is the so called “abnormal return” above and beyond the theoretical expected return predicted by a pricing model such as the CAPM.
That is, alpha = Actual return - Expected return (For example, as per CAPM)
In the CAPM framework , as noted by Magician before, the only risk priced into the expected return of the asset is market risk.
So say CAPM predicts an expected return of 7% for a security, but this security somehow has an actual return of 9%, there is something extra not captured in the basic CAPM that is driving this additional 2%.
As the CAPM already prices market risk, the risk that is driving this extra 2% must be idiosyncratic/firm specific/unsystematic risk.
Hence: alpha represents unsystematic /firm specific risk
beta represents systematic/market risk
The (nominal) risk free rate simply compensates the investor for forgoing current consumption / expected inflation