Pith. sign in

Zirnbauer,Riemannian symmetric superspaces and their origin in random matrix theory,J

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

Gaussian random matrix ensembles defined over the tangent spaces of the large families of Cartan's symmetric spaces are considered. Such ensembles play a central role in mesoscopic physics since they describe the universal ergodic limit of disordered and chaotic single particle systems. The generating function for the spectral correlations of each ensemble is reduced to an integral over a Riemannian symmetric superspace in the limit of large matrix dimension. Such a space is defined as a pair (G/H,M_r) where G/H is a complex-analytic graded manifold homogeneous with respect to the action of a complex Lie supergroup G, and M_r is a maximal Riemannian submanifold of the support of G/H.

citation-role summary

background 2

citation-polarity summary

years

2026 3

verdicts

UNVERDICTED 3

roles

background 2

polarities

background 2

representative citing papers

Quantum chaos and the holographic principle

quant-ph · 2026-04-14 · unverdicted · novelty 1.0

A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.

Quantum chaotic systems: a random-matrix approach

quant-ph · 2026-04-13 · unverdicted · novelty 0.0

Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.

citing papers explorer

Showing 3 of 3 citing papers.

  • The Chiral Random-Matrix Ensemble of the Type-IIB Axion--Dilaton Wormhole Partition Function hep-th · 2026-07-07 · unverdicted · none · ref 20 · internal anchor

    The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.

  • Quantum chaos and the holographic principle quant-ph · 2026-04-14 · unverdicted · none · ref 80 · internal anchor

    A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.

  • Quantum chaotic systems: a random-matrix approach quant-ph · 2026-04-13 · unverdicted · none · ref 190 · internal anchor

    Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.