Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $S$-Matrix and Anomaly of de Sitter   $S$-matrix formulation of gravity excludes de Sitter vacua. In particular,
this is organic to string theory. The $S$-matrix constraint is enforced by an
anomalous quantum break-time proportional to the inverse values of
gravitational and/or string couplings. Due to this, de Sitter can satisfy the
conditions for a valid vacuum only at the expense of trivializing the graviton
and closed-string $S$-matrixes. At non-zero gravitational and string couplings,
de Sitter is deformed by corpuscular $1/N$ effects, similarly to
Witten-Veneziano mechanism in QCD with $N$ colors. In this picture, an
$S$-matrix formulation of Einstein gravity, such as string theory, nullifies an
outstanding cosmological puzzle. We discuss possible observational signatures
which are especially interesting in theories with large number of particle
species. Species can enhance the primordial quantum imprints to potentially
observable level even if the standard inflaton fluctuations are negligible.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math