Brownian motion, Chern-Simons theory, and 2d Yang-Mills

DOI10.1016/j.physletb.2004.09.033zbMath1247.58020arXivhep-th/0406093OpenAlexW2016079975MaRDI QIDQ452175

Miguel Tierz, Sebastian de Haro

Publication date: 19 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0406093

zbMATH Keywords

Chern-Simons theory2d Yang-Mills theory

Mathematics Subject Classification ID

Related Items (21)

Multiple phases and meromorphic deformations of unitary matrix models ⋮ Weak coupling expansion of Yang-Mills theory on recursive infinite genus surfaces ⋮ Chern-Simons matrix models and Stieltjes-Wigert polynomials ⋮ M5-branes from gauge theories on the 5-sphere ⋮ Chern-Simons theory, 2d Yang-Mills, and Lie algebra wanderers ⋮ Discrete and oscillatory matrix models in Chern--Simons theory ⋮ Large-\(N\) transitions for generalized Yang--Mills theories in \(1+1\) dimensions ⋮ A new large \(N\) phase transition in \(\text{YM}_2\) ⋮ \(T\overline{T}\) deformation of the Calogero-Sutherland model via dimensional reduction ⋮ Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\) ⋮ Non-intersecting Brownian walkers and Yang-Mills theory on the sphere ⋮ Brownian Gibbs property for Airy line ensembles ⋮ A note on knot invariants and \(q\)-deformed 2d Yang-Mills ⋮ Two faces of Douglas-Kazakov transition: from Yang-Mills theory to random walks and beyond ⋮ Extremes of \(N\) vicious walkers for large \(N\): application to the directed polymer and KPZ interfaces ⋮ Phase structure of XX0 spin chain and nonintersecting Brownian motion ⋮ Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels ⋮ CHERN–SIMONS THEORY, EXACTLY SOLVABLE MODELS AND FREE FERMIONS AT FINITE TEMPERATURE ⋮ Crystal bases and three-dimensional \(\mathcal{N} = 4\) Coulomb branches ⋮ Matrix models and stochastic growth in Donaldson-Thomas theory ⋮ Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type

Cites Work

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• Quantum field theory and the Jones polynomial
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• Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
• Macdonald's identities and the large \(N\) limit of \(YM_2\) on the cylinder
• On geometry and matrix models
• Higher conformal multifractality
• Affine root systems and Dedekind's \(\eta\)-function
• Random walks and random permutations
• Random Walk in a Weyl Chamber
• The Heat Equation on a Compact Lie Group
• Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
• Statistical Field Theory
• SOFT MATRIX MODELS AND CHERN–SIMONS PARTITION FUNCTIONS
• Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories
• Knot invariants and topological strings.

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