RT Journal Article T1 The phi(4) model with the BPS preserving defect A1 Adam, Christoph A1 Romanczukiewicz, T. A1 Wereszczynski, Andrzej K1 Field theories in lower dimensions K1 Solitons monopoles and instantons K1 Integrable field theories K1 Space-time symmetries AB The phi(4) model is coupled to an impurity in a way that preserves one-half of theBPS property. This means that the antikink-impurity bound state is still a BPS solution,i.e., a zero-pressure solution saturating the topological energy bound. The kink-impuritybound state, on the other hand, does not saturate the bound, in general.We found that, although the impurity breaks translational invariance, it is, in somesense, restored in the BPS sector where the energy of the antikink-impurity solution doesnot depend on their mutual distance. This is reected in the existence of a generalisedtranslational symmetry and a zero mode.We also investigate scattering processes. In particular, we compare the antikinkimpurityinteraction close to the BPS regime, which presents a rather smooth, elastic likenature, with other scattering processes. However, even in this case, after exciting a su -ciently large linear mode on the incoming antikink, we can depart from the close-to-BPSregime. This results, for example, in a backward scattering. PB Springer YR 2019 FD 2019 LK http://hdl.handle.net/10347/21270 UL http://hdl.handle.net/10347/21270 LA eng NO Adam, C., Romanczukiewicz, T. & Wereszczynski, A. The ϕ4 model with the BPS preserving defect. J. High Energ. Phys. 2019, 131 (2019). https://doi.org/10.1007/JHEP03(2019)131 NO The authors acknowledge financial support from the Ministry of Education, Culture,and Sports, Spain (Grant No. FPA2017-83814-P), the Xunta de Galicia (Grant No. INCITE09.296.035PR and Conselleria de Educacion), the Spanish Consolider-Ingenio 2010Programme CPAN (CSD2007-00042), Maria de Maeztu Unit of Excellence MDM-2016-0692, and FEDER DS Minerva RD 25 abr 2026