Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model theory and the AdS/CFT correspondence   We give arguments that exotic smooth structures on compact and noncompact
4-manifolds are essential for some approaches to quantum gravity. We rely on
the recently developed model-theoretic approach to exotic smoothness in
dimension four. It is possible to conjecture that exotic $R^4$'s play
fundamental role in quantum gravity similarily as standard local 4-spacetime
patches do for classical general relativity. Renormalization in gravity--field
theory limit of AdS/CFT correspondence is reformulated in terms of exotic
$R^4$'s. We show how doubly special relativity program can be related to some
model-theoretic self-dual $R^4$'s. The relevance of the structures for the
Maldacena conjecture is discussed, though explicit calculations refer to the
would be noncompact smooth 4-invariants based on the intuitionistic logic.

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom