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2019

Tauberian-Cardy formula with spin

Pal, Sridip, Sun, Zhengdi

Understand

We prove a $2$ dimensional Tauberian theorem in context of $2$ dimensional conformal field theory.

The asymptotic density of states with conformal weight $(h,\bar{h})\to (\infty,\infty)$ for any arbitrary spin is derived using the theorem.
We further rigorously show that the error term is controlled by the twist parameter and insensitive to spin.
The sensitivity of the leading piece towards spin is discussed.