Cosmological aspects of the next-to-minimal supersymmetric standard model
The next-to-minimal supersymmetric standard model (NMSSM) is a possible extension of the minimal supersymmetric standard model (MSSM) that introduces an additional gauge singlet superfield to solve the mu-problem of the MSSM. In this model there exists a discrete Z_3 symmetry, which can be spontaneously broken in the early universe leading to the formation of domain walls. In this work, we investigate cosmological constraints on the NMSSM by considering the domain wall production in the early universe. We specify the condition for the formation of domain walls in the context of inflationary cosmology and discuss the possibility to probe model parameters by observing gravitational waves produced from them.