TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.3.103
TI  - Statistical mechanics of exponentially many low lying states
PY  - 2025/03/19
UR  - https://scipost.org/SciPostPhys.18.3.103
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 3
SP  - 103
A1  - Mondal, Swapnamay
AB  - It has recently been argued that for near-extremal black holes, the entropy and the energy above extremality respectively receive a $log T$ and a $T$-linear correction, where $T$ is the temperature. We show that both these features can be derived in a "low but not too low" temperature regime, by assuming the existence of exponentially many low lying states cleanly separated from rest of the spectrum, without using any specific theory. Argument of the logarithm in the expression of entropy is seen to be the ratio of temperature and the bandwidth of the low lying states. We argue that such spectrum might arise in non-supersymmetric extremal brane systems. Our findings strengthen Page's suggestion that there is no true degeneracy for non-supersymmetric extremal black holes.
ER  -

@Article{10.21468/SciPostPhys.18.3.103,
	title={{Statistical mechanics of exponentially many low lying states}},
	author={Swapnamay Mondal},
	journal={SciPost Phys.},
	volume={18},
	pages={103},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.3.103},
	url={https://scipost.org/10.21468/SciPostPhys.18.3.103},
}