A systematic validation of hot Neptunes in TESS data

We statistically validated a sample of hot Neptune candidates applying a two-step vetting technique using DAVE and TRICERATOPS. We performed a systematic validation of 250 transit-like events in the Transiting Exoplanet Survey Satellite (TESS) archive in the parameter region defined by $P\leq 4$ d and $3R_\oplus\leq R\leq 5R_\oplus$. Through our analysis, we identified 18 hot Neptune-sized candidates, with a false positive probability $<50\%$. Nine of these planet candidates still need to be confirmed. For each of the nine targets we retrieved the stellar parameters using ARIADNE and derived constraints on the planetary parameters by fitting the lightcurves with the juliet package. Within this sample of nine candidates, we statistically validated (i.e, with false positive probability < $0.3\%$) two systems (TOI-277 b and TOI-1288 b) by re-processing the candidates with TRICERATOPS along with follow-up observations. These new validated exoplanets expand the known hot Neptunes population and are high-priority targets for future radial velocities follow-up.Comment: 24 pages, 20 figures. Accepted for publication on MNRA

Moduli space for dyons

223-228Analysing the non-Abelian gauge theory of dyon the expression for dyonic mass has been derived and connection of moduli space of monopoles with normalised bosonic and fermionic spaces is established. Supersymmetrising this theory of dyons it has been demonstrated that the modification in supersymmetric algebra due to central charges leads to partial breaking or supersymmetrics with the unbroken supersymmetry pairing the bosonic and fermionic zero modes. The moduli space has been constructed in non-Abelian gauge theory of dyons and its kinematics have been investigated