String scale black holes at large $D$

Understand

We study aspects of black holes near the Hagedorn temperature.

• The large dimension expansion introduced by Soda, Emparan, Grumiller and Tanabe connects them to the well studied two dimensional black hole based on $SL(2)_k/U(1)$.
• This allows us to explore black holes at string scale temperatures.
• We argue that the black hole can surpass the Hagedorn temperature, but at a somewhat larger temperature it is likely to turn over to a highly excited string.