1. Distance: Even though it's our nearest neighbor, Alpha Centauri is still 4.37 light-years away. This means the light we see from it has traveled for over 4 years before reaching our eyes. The further away a star is, the dimmer it appears due to the inverse square law of light intensity.
2. Individual Star Brightness: Alpha Centauri is actually a triple star system. The brightest star, Alpha Centauri A, is similar to our Sun in size and luminosity. However, the other two stars, Alpha Centauri B and Proxima Centauri, are smaller and less luminous. While Proxima Centauri is the closest star to our Sun, it's also the faintest of the three.
3. Our Perception: Our human eyes are not equally sensitive to all colors of light. Alpha Centauri A is a slightly orange-hued star, meaning it emits more light in the red and orange wavelengths. Our eyes are less sensitive to these colors compared to the bluer light emitted by stars like Sirius, which is why Sirius appears brighter even though it's further away.
In summary: While Alpha Centauri is a relatively close star system, its individual stars are not exceptionally bright, and the light we see from them is weakened due to their distance. Our perception also plays a role, making it appear dimmer than some other stars that are actually further away.