You are partially correct! Rigel does have a higher luminosity than the Sun.

However, Rigel also has a higher temperature than the Sun.

Here's why:

* Luminosity: Rigel is a blue supergiant, meaning it's significantly larger and more massive than our Sun. Its higher mass means it burns through its fuel much faster, generating a much greater amount of energy, hence its higher luminosity.

* Temperature: Blue stars are hotter than yellow stars like our Sun. This is because their core temperatures are much higher, leading to a higher rate of nuclear fusion.

So, Rigel is a much brighter and hotter star than our Sun!