Mapping Geometry from the Edge: A New Boundary for Holographic Space
Researchers have discovered a way to reconstruct geometric information in holographic duality directly from boundary data, potentially simplifying calculations of spacetime structure.
![In a superfluid system governed by [latex] h/U = 0.1978 [/latex], [latex] t/U = 0.3 [/latex], and [latex] n = 1 [/latex], the dynamic structure factors [latex] S_D({\bf q},{\omega}) [/latex] and [latex] S_S({\bf q},{\omega}) [/latex] reveal collective modes whose peak positions shift with transferred momentum along the [0,0]→[π,0] direction, demonstrating the system’s nuanced response to external perturbations.](https://arxiv.org/html/2602.01280v1/x4.png)


![The study reveals a conical intersection-a point of degeneracy-between the ground and first excited singlet states of the methaniminium cation [latex]CH_2NH_2^{+}[/latex], characterized by a double-cone topography of potential energy surfaces along the branching-plane coordinates defined by gradient-difference and nonadiabatic-coupling directions, and pinpointed through optimization of the minimum-energy conical intersection geometry.](https://arxiv.org/html/2602.02115v1/x1.png)
![Numerical simulations, parameterized as described in the accompanying text, explore the behavior detailed by equation [latex] (2) [/latex].](https://arxiv.org/html/2602.02105v1/figure1.png)
![Multivariate analysis, employing algorithms such as BDT, BDTG, MLP, and Likelihood, demonstrates stable performance across hadronic analyses at collision energies of 5.29, 6.48, and 9.16 TeV, achieving optimal discrimination - as measured by the Area Under the Curve [latex]AUC[/latex] - at [latex]\sqrt{s} = 9.16 \text{ TeV}[/latex].](https://arxiv.org/html/2602.01010v1/AUChadronic.jpeg)