Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexity change under conformal transformations in AdS$_{3}$/CFT$_{2}$   Using the volume proposal, we compute the change of complexity of holographic
states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This
computation is done perturbatively to second order. We give a general result
and discuss some of its properties. As operators generating such conformal
transformations can be explicitly constructed in CFT terms, these results allow
for a comparison between holographic methods of defining and computing
computational complexity and purely field-theoretic proposals. A comparison of
our results to one such proposal is given.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex