Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity
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| Format: | Preprint |
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2024
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| _version_ | 1866912643302817792 |
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| author | Juričić, Vladimir Miskovic, Olivera Carrasco, Francisca Ramírez |
| author_facet | Juričić, Vladimir Miskovic, Olivera Carrasco, Francisca Ramírez |
| contents | We study torsional topological defects in Einstein-Gauss-Bonnet gravity in ($4+1$)-dimensional anti-de Sitter spacetime. In the holographic interpretation, these correspond to crystalline dislocation defects associated with the discrete lattice translational symmetry. The Gauss-Bonnet coupling is fixed at the Chern-Simons point. By solving the equations of motion through an asymptotic expansion near the boundary, we show that the dual ($3+1$)-dimensional theory admits axially symmetric solutions. These solutions describe holographic materials with dislocation defects at finite temperature, encoded by a black hole in the bulk. At the same time, they feature ring-shaped defects arising from the background Riemann-Cartan geometry, characterized by nontrivial Burgers vectors. We also discuss the possible appearance of an odd-parity Abelian holographic anomaly, proportional to the Nieh-Yan invariant. Our results motivate further studies of holographic defects using bulk gravitational theories and support the view that torsion provides a holographic counterpart of crystalline dislocation defects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_18853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity Juričić, Vladimir Miskovic, Olivera Carrasco, Francisca Ramírez High Energy Physics - Theory Mesoscale and Nanoscale Physics Strongly Correlated Electrons General Relativity and Quantum Cosmology We study torsional topological defects in Einstein-Gauss-Bonnet gravity in ($4+1$)-dimensional anti-de Sitter spacetime. In the holographic interpretation, these correspond to crystalline dislocation defects associated with the discrete lattice translational symmetry. The Gauss-Bonnet coupling is fixed at the Chern-Simons point. By solving the equations of motion through an asymptotic expansion near the boundary, we show that the dual ($3+1$)-dimensional theory admits axially symmetric solutions. These solutions describe holographic materials with dislocation defects at finite temperature, encoded by a black hole in the bulk. At the same time, they feature ring-shaped defects arising from the background Riemann-Cartan geometry, characterized by nontrivial Burgers vectors. We also discuss the possible appearance of an odd-parity Abelian holographic anomaly, proportional to the Nieh-Yan invariant. Our results motivate further studies of holographic defects using bulk gravitational theories and support the view that torsion provides a holographic counterpart of crystalline dislocation defects. |
| title | Holography of dislocations and ring defects in Einstein-Gauss-Bonnet AdS gravity |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2410.18853 |