Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry   We study the thermodynamics of near horizon near extremal Kerr (NHNEK)
geometry within the framework of $AdS_2/CFT_1$ correspondence. We start by
shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general
finite mass. While this shift does not alter the geometry in that the resulting
classical solution is still diffeomorphic to the NHEK solution, it does lead to
a quantum theory different from that of NHEK. We obtain this quantum theory by
means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which
enables us to introduce a finite regulator on the $AdS_2$ boundary and compute
the full asymptotic symmetry group of the two-dimensional quantum conformal
field theory on the respective $AdS_2$ boundary. The s-wave contribution of the
energy-momentum-tensor of this conformal field theory, together with the
asymptotic symmetries, generate a Virasoro algebra with a calculable center,
which agrees with the standard Kerr/$CFT$ result, and a non-vanishing lowest
Virasoro eigenmode. The central charge and lowest eigenmode produce the
Bekenstein-Hawking entropy and Hawking temperature for NHNEK.

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The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat