Solitones en la teoría Einstein--Maxwell--dilatón--axión

A. Herrera--Aguilar, J.O. Téllez--Vázquez

Abstract


In the present research work we obtain solitonic solutions by means of two of the most successful nonlinear techniques of the modern physics: the inverse scattering method and the application of Lie--Bäcklund symmetries. We show that these techniques can be applied in the framework of the four--dimensional low--energy effective field theory of the heterotic string better known as Einstein--Maxwell--dilaton--axion theory. Thus, we obtain an exact soliton solution for the field equation of the chiral matrix $P$, which involves the $g_{tt}$--component of the tensor field, the dilaton and a electric field, starting from pure flat space--time. We further apply a nonlinear symmetry of the full effective theory on this soliton solution in order to generate a new field configuration which also involves the pseudoscalar field axion, a magnetic field and the $g_{t \phi}$--component of the metric tensor (which describes gravitational rotation). We analize as well some properties of these solitonic configurations.

Keywords


Solitons; inverse scattering method; nonlinear Lie--Bäcklund transformations; low--energy heterotic string theory

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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