Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining the Cosmic Strings Gravitational Wave Spectra in No Scale
  Inflation with Viable Gravitino Dark matter and Non Thermal Leptogenesis   We revisit the hybrid inflation model gauged by $U(1)_{B-L}$ extension of the
Minimal Supersymmetric Standard Model (MSSM) in a no-scale background.
Considering a single predictive framework, we study inflation, leptogenesis,
gavitino cosmology, and the stochastic background of gravitational waves
produced by metastable cosmic strings. The spontaneous breaking of $U(1)_{B-L}$
at the end of inflation produces a network of metastable cosmic strings while,
the interaction between $U(1)_{B-L}$ Higgs field and the neutrinos generate
heavy Majorana masses for the right-handed neutrinos. The heavy Majorana masses
explain the tiny neutrino masses via the seesaw mechanism, a realistic scenario
for reheating and non-thermal leptogenesis. We show that a successful
non-thermal leptogenesis and a stable gravitino as a dark matter candidate can
be achieved for a wide range of reheating temperatures and $U(1)_{B-L}$
symmetry breaking scales. The possibility of realizing metastable cosmic
strings in a grand unified theory (GUT) setup is briefly discussed. We find
that a successful reheating with non-thermal leptogenesis and gravitino dark
matter restrict the allowed values of string tension to a narrow range $10^{-9}
\lesssim G\mu_{CS} \lesssim 8 \times 10^{-6}$, predicting a stochastic
gravitational-wave background that lies within the 1-$\sigma$ bounds of the
recent NANOGrav 12.5-yr data, as well as within the sensitivity bounds of
future GW experiments.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom