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- Title
Gravitating anisotropic merons and squashed spheres in the three-dimensional Einstein-Yang-Mills-Chern-Simons theory.
- Authors
Canfora, Fabrizio; Corral, Cristóbal
- Abstract
We construct the first analytic examples of self-gravitating anisotropic merons in the Einstein-Yang-Mills-Chern-Simons theory in three dimensions. The gauge field configurations have different meronic parameters along the three Maurer-Cartan 1-forms and they are topologically nontrivial as the Chern-Simons invariant is nonzero. The corresponding backreacted metric is conformally a squashed three-sphere. The amount of squashing is related to the degree of anisotropy of the gauge field configurations that we compute explicitly in different limits of the squashing parameter. Moreover, the spectrum of the Dirac operator on this background is obtained explicitly for spin-1/2 spinors in the fundamental representation of SU(2), and the genuine non-Abelian contributions to the spectrum are identified. The physical consequences of these results are discussed.
- Subjects
DIRAC operators; SPHERES; SPINORS; CHERN-Simons gauge theory; SQUASHES; LIMIT cycles
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 11, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP11(2023)146