There's no single "hottest" supergiant star because their temperatures can fluctuate and are affected by their evolution. However, some of the hottest known supergiant stars include:
* Eta Carinae: A luminous blue variable with a surface temperature of around 35,000-40,000 Kelvin. It's known for its extreme instability and occasional outbursts.
* WR 104: A Wolf-Rayet star with a surface temperature estimated at 50,000-60,000 Kelvin. These stars have lost their outer layers and are very hot and massive.
* R136a1: This is currently considered the hottest and most massive star known, with a surface temperature of around 50,000 Kelvin.
It's important to note that:
* These temperatures are estimates and can vary based on different observation methods.
* New discoveries of even hotter supergiants are possible.
* The "hottest" isn't necessarily the most luminous or massive.
So, while there's no definitive answer, these stars are some of the hottest supergiants we know of.