Hidden Symmetries: Bridging Gauge Theories and Many-Body Physics
![The visual representation demonstrates transposed Young diagrams, a mathematical construct wherein the shape and arrangement of boxes within a diagram are altered while preserving underlying combinatorial properties - a transformation crucial for understanding relationships between partitions and their dual representations in areas like symmetric function theory and representation theory of the symmetric group [latex]S_n[/latex].](https://arxiv.org/html/2512.23099v1/transposed.png)
A new review reveals surprising connections between the mathematical frameworks governing fundamental forces and the behavior of complex quantum systems.
![The visual representation demonstrates transposed Young diagrams, a mathematical construct wherein the shape and arrangement of boxes within a diagram are altered while preserving underlying combinatorial properties - a transformation crucial for understanding relationships between partitions and their dual representations in areas like symmetric function theory and representation theory of the symmetric group [latex]S_n[/latex].](https://arxiv.org/html/2512.23099v1/transposed.png)
A new review reveals surprising connections between the mathematical frameworks governing fundamental forces and the behavior of complex quantum systems.
![The study demonstrates how the presence of a dark matter halo influences time evolution, exhibiting distinct behaviors in regimes of low compactness versus those where compactness exceeds a critical threshold [latex]C^{\text{LR}}[ /latex].](https://arxiv.org/html/2512.22267v1/x17.png)
New research explores how surrounding matter distributions subtly alter the gravitational landscape around black holes, impacting everything from light paths to orbital behavior.
![The anticipated sensitivity of Large Hadron Collider searches suggests that, at the conclusion of the High-Luminosity LHC phase, constraints on multiply charged, long-lived particles will vary significantly depending on their color charge-with color-singlet scalars and fermions exhibiting the greatest reach, and color-triplet counterparts offering correspondingly diminished detection prospects-a result detailed in [Altakach:2022hgn].](https://arxiv.org/html/2512.23387v1/x5.png)
The MoEDAL-MAPP experiment offers a unique approach to searching for charged, long-lived particles that could reveal physics beyond our current understanding.
A new analysis suggests the line between deterministic and indeterministic physics isn’t a property of the universe itself, but a consequence of how we choose to model it.

New research explores how high-energy particle collisions can reveal subtle violations of Lorentz invariance, potentially uncovering physics beyond our current understanding.
![The effective coupling [latex]\alpha_{\rm eff}(Q)[/latex]-calculated for [latex]\kappa = 0.534~\rm{GeV}[/latex]-demonstrates a transition between infrared and nonperturbative regimes, and when subjected to ultraviolet completion incorporating heavy quark thresholds, reveals the inherent limitations of any theoretical framework attempting to fully encompass the complexities of strong interactions.](https://arxiv.org/html/2512.23663v1/x2.png)
New research combines holographic duality, light-front quantization, and analytic properties to offer a comprehensive framework for understanding strong interactions across all energy scales.
![The decay pathways of [latex]J/\psi[/latex] particles into [latex]\gamma\chi_{cJ}[/latex] and subsequent decay of [latex]\chi_{cJ}[/latex] into [latex]B\bar{B}[/latex] mesons demonstrate a fundamental process in particle physics, revealing how heavier particles disintegrate into lighter constituents through the emission of photons and the creation of meson-antimeson pairs.](https://arxiv.org/html/2512.22837v1/x1.png)
A new theoretical study explores the surprising quantum entanglement present when exotic charmonium particles decay into pairs of baryons and antibaryons.
![Diffraction patterns emerge not as evidence of a system’s control, but as inevitable consequences of wave interference, demonstrating that any attempt to define a precise boundary between wave and void will always yield probabilistic echoes rather than definitive edges, as described by the principle of Huygens-Fresnel [latex] E(r) = \in t_{S} K(\mathbf{r}, \mathbf{r'}) E(\mathbf{r'}) dS [/latex].](https://arxiv.org/html/2512.22155v1/images/diffraction-experiment.png)
New research explores how broken symmetry in honeycomb lattices can mimic exotic phenomena like the Chiral Magnetic Effect, opening doors to control and observe anomalous transport in solid-state systems.
![Entanglement entropy in periodically bounded lattices grows linearly with imaginary time τ, driven by contributions localized at corners-specifically, those forming [latex]\frac{\pi}{3}[/latex] and [latex]\frac{2\pi}{3}[/latex] angles-within regions possessing equivalent boundary lengths, despite differing geometries-such as a [latex]\frac{L}{3} \times \frac{2L}{3}[/latex] area contrasted with a [latex]\frac{L}{3} \times L[/latex] one.](https://arxiv.org/html/2512.23361v1/x1.png)
New research reveals a powerful method for probing universal entanglement properties in complex quantum systems using a unique ‘imaginary time’ approach.
A new perspective argues that bridging the gap between quantum predictions and experimental results demands careful consideration of the practical limitations and assumptions inherent in actual physical measurements.