Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic corrections to holographic entanglement in thermofield doubles
  and confining ground states   We study entanglement in states of holographic CFTs defined by Euclidean path
integrals over geometries with slowly varying metrics. In particular, our CFT
spacetimes have $S^1$ fibers whose size $b$ varies along one direction ($x$) of
an ${\mathbb R}^{d-1}$ base. Such examples respect an ${\mathbb R}^{d-2}$
Euclidean symmetry. Treating the $S^1$ direction as time leads to a thermofield
double state on a spacetime with adiabatically varying redshift, while treating
another direction as time leads to a confining ground state with slowly varying
confinement scale. In both contexts the entropy of slab-shaped regions defined
by $|x - x_0| \le L$ exhibits well-known phase transitions at length scales $L=
L_{crit}$ characterizing the CFT entanglements. For the thermofield double, the
numerical coefficients governing the effect of variations in $b(x)$ on the
transition are surprisingly small and exhibit an interesting change of sign:
gradients reduce $L_{crit}$ for $d \le 3$ but increase $L_{crit}$ for $d\ge4$.
This means that, while for general $L > L_{crit}$ they significantly increase
the mutual information of opposing slabs as one would expect, for $d\ge 4$
gradients cause a small decrease near the phase transition. In contrast, for
the confining ground states gradients always decrease $L_{crit}$, with the
effect becoming more pronounced in higher dimensions.

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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph