Volume 127, Number 6, September 2019
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||04 November 2019|
Topological BPS solitons in a Maxwell-Chern-Simons gauged CP(2) model
1 Departamento de Física, Universidade Federal do Maranhão - 65080-805, São Luís, Maranhão, Brazil
2 Coordenadoria Interdisciplinar de Ciência e Tecnologia, Universidade Federal do Maranhão 65080-805, São Luís, Maranhão, Brazil
Received: 31 January 2019
Accepted: 25 September 2019
We verify the existence of radially symmetric BPS solitons in a gauged CP(2) scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard Bogomol'nyi-Prasad-Sommerfield formalism, from which we obtain a well-defined lower bound for the corresponding energy (i.e., the Bogomol'nyi bound) and the first-order equations saturating it. The energy lower-bound, the magnetic flux and the total electric charge are quantized according the winding number, as expected. Besides, the quantized angular momentum tell us the solitons have anyonic behavior typical of Chern-Simons solitons. We solve the first-order equations numerically by means of the finite-difference scheme and we discuss the main properties of the solutions.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.10.Lm – Nonlinear or nonlocal theories and models / 11.27.+d – Extended classical solutions; cosmic strings, domain walls, texture
© EPLA, 2019
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