Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Entropy and Duality in AdS(4)   Small variations of the entanglement entropy \delta S and the expectation
value of the modular Hamiltonian \delta E are computed holographically for
circular entangling curves in the boundary of AdS(4), using gravitational
perturbations with general boundary conditions in spherical coordinates.
Agreement with the first law of thermodynamics, \delta S = \delta E, requires
that the line element of the entangling curve remains constant. In this
context, we also find a manifestation of electric-magnetic duality for the
entanglement entropy and the corresponding modular Hamiltonian, following from
the holographic energy-momentum/Cotton tensor duality.

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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat