Work

Solvable self-dual impurity models

Year: 2019

Type: article

Abstract: We find a family of (half) self-dual impurity models such that the self-dual (BPS) sector is exactly solvable, for any spatial distribution of the impurity, both in the topologically trivial case and for kink (or antikink) configurations. This allows us to derive the metric on the corresponding one-dimensional moduli space in an analytical form. Also the generalized translational symmetry is found in an exact form. This symmetry provides a motion on moduli space which transforms one BPS solution into another. Finally, we analyse exactly how vibrational properties (spectral modes) of the BPS solutions depend on the actual position on moduli space. These results are obtained both for the nontrivial topological sector (kinks or antikinks) as well as for the topologically trivial sector, where the motion on moduli space represents a kink-antikink annihilation process.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2019)150

Authors: C. Adam, K. Oles, J.M. Queiruga, T. Romanczukiewicz, A. Wereszczynski

Institutions: Universidade de Santiago de Compostela, Jagiellonian University, Karlsruhe Institute of Technology

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Xunta de Galicia

Awards: G2692091728, G8700812026