Fernández Queiruga, José Manuel2013-10-252013-10-252013-10-25http://hdl.handle.net/10347/9307We collect the main results obtained along this Ph.D. thesis: \Non-perturbative methods in non-linear eld theories and their supersymmetric extensions". The rst original presentation for K eld theories is performed in chapter 7. We proposed a simpler supersymmetric extension of such theories. With this extension it is easy to calculate supersymmetric charges, and therefore all the supersymmetric algebra is found. Nevertheless, in the last section we demonstrate that with this oversimpli ed scheme of supersymmetrization the model contains ghosts.engEsta obra atópase baixo unha licenza internacional Creative Commons BY-NC-ND 4.0. Calquera forma de reprodución, distribución, comunicación pública ou transformación desta obra non incluída na licenza Creative Commons BY-NC-ND 4.0 só pode ser realizada coa autorización expresa dos titulares, salvo excepción prevista pola lei. Pode acceder Vde. ao texto completo da licenza nesta ligazón: https://creativecommons.org/licenses/by-nc-nd/4.0/deed.glhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.glSupersymmetryBPS solutionsSkyrme model,Topological defectsK eld theoriesdoctoral thesisopen access