Year: 2025
Type: article
Abstract: We study torsional topological defects in Einstein–Gauss–Bonnet gravity in ( $$4+1$$ 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 ( $$3+1$$ 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.
Source: The European Physical Journal C
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G2033535422, G2092879688, TOPOLOGICAL PHASES AND DEFECTS IN SPACE-TIME CRYSTALS, G2915717716, G3834415347, HOLOGRAPHY AND ITS APPLICATIONS TO HIGH ENERGY PHYSICS QUANTUM GRAVITY AND CONDENSED MATTER SYSTEMS, G6513739748, Higher-dimensional topological quasicrystals, HOLOGRAPHIC DESCRIPTION OF ASYMPTOTICALLY ANTI-DE SITTER GRAVITY, HOLOGRAPHIC ASPECTS OF QUANTUM FIELD THEORIES IN FLAT AND ADS SPACES, G8364538486
OpenAlex ID: W4415077898