Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The power of AQFT: the area law for entropy of localized quantum matter   The algebraic approach to QFT, which for several decades has enriched QFT
with structural theorems, has recently shown its utility in various
constructions of actual interest. In these lecture notes I explain how AQFT (in
particular the modular theory of operator algebras) implies paradigmatic
conceptual and mathematical changes while fully preserving the physical
principles which underly QFT. As an illustration of actual interest I use
holography on null-surfaces and the ensuing area law for entropy of localized
matter in the vacuum state.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph