Category: PAPERS

We’re excited to share that our HINT team members Dušan Đorđević and Dragoljub Gočanin (PI) have co-authored a new research paper: Rotating frames from quantum deformed spacetime (https://arxiv.org/abs/2507.11637).

In this work, the authors explore a specific relation between noncommutative (NC) twist deformations and reference frame transformations. In particular, they have shown that, when it comes to the dynamics of electrically charged matter, an isometry-based Killing twist of Melvin’s electric universe can be interpreted in a purely kinematic fashion – as a transition to a rotating frames of reference with angular velocity determined by the scale of spacetime noncommutativity and the electric charge of the matter field. This effect of NC rotation can be used as a probe of small-scale structure of spacetime using Sagnac interferometry.

We’re excited to announce that our team member Ana Đorđević has authored a new research paper:

Symmetry-based theory of Dirac fermions on two-dimensional hyperbolic crystals: Coupling to the spin connection (https://arxiv.org/abs/2507.08276)

In this work, Ana investigates discrete fermionic and bosonic models on hyperbolic lattices, inspired by recent experimental realizations of hyperbolic crystals. While these models have gained attention, the essential spin-curvature coupling for fermions has remained largely unexplored — until now.

The paper introduces a symmetry-based framework for Dirac fermions on 2D hyperbolic lattices, incorporating spin connection effects derived from the Poincaré disk symmetries. This approach links to continuum Dirac theory. predicts enhanced zero-energy density of states and reveals how noncommutative geometry naturally arises when defining translation operators on curved backgrounds

Ana’s research visit to Chile and collaboration with her supervisor Professor Vladimir Juričić were essential to the success of this project.

We’re proud of Ana’s contribution to the growing field of quantum systems in curved geometries!

We’re thrilled to share our latest research, now available on arXiv: “Riemann-Cartan holography and conductivity”.

In this paper, we generalize the usual holographic duality setup by introducing a Riemann-Cartan bulk with non-trivial torsion. We investigate how torsion, which induces spin currents at the boundary, affects the boundary theory’s conductivity. Our findings suggest that non-minimal couplings between torsion and the electromagnetic field provide better explanations for experimental results on conductivity compared to the minimal coupling

Read more: https://www.arxiv.org/abs/2501.00934

We’re excited about the implications of this research for understanding a holographic picture behind the experimental results on conductivity.