Exact self-dual skyrmions

Autor(es)

Ferreira, L. A. ^[1] ; Shnir, Ya. ^{[2, 3, 4]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, IFSC, Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] JINR, BLTP, Dubna 141980, Moscow Region - Russia

^[3] BSU, Dept Theoret Phys & Astrophys, Minsk 220004 - Byelarus

^[4] Tomsk State Pedag Univ, Dept Theoret Phys, Tomsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 772, p. 621-627, SEP 10 2017.
• Citações Web of Science: 5

Resumo

We introduce a Skyrme type model with the target space being the sphere S-3 and with an action possessing, as usual, quadratic and quartic terms in field derivatives. The novel character of the model is that the strength of the couplings of those two terms are allowed to depend upon the space-time coordinates. The model should therefore be interpreted as an effective theory, such that those couplings correspond in fact to low energy expectation values of fields belonging to a more fundamental theory at high energies. The theory possesses a self-dual sector that saturates the Bogomolny bound leading to an energy depending linearly on the topological charge. The self-duality equations are conformally invariant in three space dimensions leading to a toroidal ansatz and exact self-dual Skyrmion solutions. Those solutions are labelled by two integers and, despite their toroidal character, the energy density is spherically symmetric when those integers are equal and oblate or prolate otherwise. (C) 2017 The Authors. Published by Elsevier B.V. (AU)

• Processo FAPESP: 15/25779-6 - Buracos negros girantes
• Beneficiário: Luiz Agostinho Ferreira
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional