Fortuity with a single matrix

2025/11/02 by Yiming Chen, Chen, Yiming · 3 citations
Physics and Astronomy · Mathematics · #Quantum many-body systems #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.2511.00790

Abstract

We construct and study a supersymmetric quantum mechanical model with a single U(N) adjoint fermionic matrix. The model is exactly solvable yet contains a large number of fortuitous states. We investigate these states exactly at finite N and, in the large N limit, via a unitary matrix model. In particular, we develop a way to "follow N" in the unitary matrix integral and study how the answer of the integral depends sensitively on the value of N.

Citations

• Violation of S-duality in classical Q-cohomology
• Emergent Mixed States for Baby Universes and Black Holes
• Towards a holographic description of closed universes
• (Un)solvable Matrix Models for BPS Correlators
• Universality of Heavy Operators in Matrix Models
• High-precision bootstrap of multi-matrix quantum mechanics
• Further Evidence Against a Semiclassical Baby Universe in AdS/CFT
• Bosonic Fortuity in Vector Models
• Structure of Loop Space at Finite N
• Fortuity in the D1-D5 system
• Brane-fused black hole operators
• Fortuity in SYK Models
• A pedagogical introduction to restricted Schur polynomials with applications to heavy operators
• A pedagogical introduction to restricted Schur polynomials with applications to heavy operators
• Do holographic CFT states have unique semiclassical bulk duals?
• Giant graviton expansion from eigenvalue instantons
• Holographic covering and the fortuity of black holes
• Finite N black hole cohomologies
• Cosmology from random entanglement
• Towards quantum black hole microstates
• The shape of non-graviton operators for SU(2)
• The Giant Graviton Expansion
• The Yang-Mills duals of small AdS black holes
• Large AdS black holes from QFT

Cited by

• Two roads to fortuity in ABJM theory
• Fortuity and relevant deformation
• Fortuity and R-charge concentration in the D1-D5 CFT

Related

• Bootstrapping supersymmetric (matrix) quantum mechanics
• High-precision bootstrap of multi-matrix quantum mechanics
• Unitary matrix models, free fermion ensembles, and the giant graviton expansion
• Finite N unitary matrix model
• Large N Matrix Quantum Mechanics as a Quantum Memory