D-particles, matrix integrals and KP hierarchy.

DOI10.1016/S0550-3213(99)00393-4zbMath1068.81606arXivhep-th/9810035MaRDI QIDQ1572275

Ivan K. Kostov, Vladimir A. Kazakov, Nikita A. Nekrasov

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9810035

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (57)

On the phase structure of commuting matrix models ⋮ Matrix models from operators and topological strings ⋮ Exact results for perturbative partition functions of theories with \(\mathrm{SU}(2| 4)\) symmetry ⋮ Evidence for large-\(N\) phase transitions in \( \mathcal{N}={2^{*}} \) theory ⋮ Near commuting multi-matrix models ⋮ Perturbative analysis of gauged matrix models ⋮ ABJM on ellipsoid and topological strings ⋮ The spectral problem of the ABJ Fermi gas ⋮ Partition function of \( \mathcal{N}={2}^{\ast } \) SYM on a large four-sphere ⋮ Large \(N\) matrix hyperspheres and the gauge-gravity correspondence ⋮ Tetrahedron instantons ⋮ The matrix-resolvent method to tau-functions for the nonlinear Schrödinger hierarchy ⋮ Topological strings from quantum mechanics ⋮ Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization ⋮ Partition functions of reduced matrix models with classical gauge groups ⋮ Generating series for GUE correlators ⋮ Supersymmetric Yang-Mills, spherical branes, and precision holography ⋮ On large \(N\) solution of ABJM theory ⋮ Double quiver gauge theory and BPS/CFT correspondence ⋮ Localization at largeNin Chern–Simons-matter theories ⋮ GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back ⋮ From wave functions to tau-functions for the Volterra lattice hierarchy ⋮ 3-Schurs from explicit representation of Yangian \(Y(\hat{\mathfrak{gl}}_1)\). Levels 1--5 ⋮ Matrix quantum mechanics on \(S^1 / \mathbb{Z}_2\) ⋮ Multi-matrix models and emergent geometry ⋮ A renormalization group approach to a Yang-Mills two matrix model ⋮ Notes on Mayer expansions and matrix models ⋮ Hurwitz numbers from Feynman diagrams ⋮ Adding flavor to Dijkgraaf-Vafa ⋮ Gauge theories on {\(\Omega\)}-backgrounds from non commutative Seiberg-Witten curves ⋮ Argyres-Douglas theories, Painlevé II and quantum mechanics ⋮ ABJM theory as a Fermi gas ⋮ Fishnet four-point integrals: integrable representations and thermodynamic limits ⋮ New results in \(\mathcal N=2\) theories from non-perturbative string ⋮ IMPACT OF SUPERSYMMETRY ON EMERGENT GEOMETRY IN YANG–MILLS MATRIX MODELS II ⋮ Chiral trace relations in \(\Omega\)-deformed \(\mathcal{N}=2 \) theories ⋮ Thermodynamics of large \(N\) gauge theories with chemical potentials in a \(1/D\) expansion ⋮ M-theoretic matrix models ⋮ Weak coupling large-\(N\) transitions at finite baryon density ⋮ String equation for string theory on a circle ⋮ On tessellations of random maps and the \(t_g\)-recurrence ⋮ Quiver indices and abelianization from Jeffrey-Kirwan residues ⋮ On tessellations of random maps and the \(t_g\)-recurrence ⋮ Matrix geometries and matrix models ⋮ Massive \( \mathcal{N} = 2\) gauge theories at large \(N\) ⋮ On tau-functions for the Toda lattice hierarchy ⋮ Elliptic non-abelian Donaldson-Thomas invariants of \( \mathbb{C}^3 \) ⋮ \(U\)-duality twists and possible phase transitions in \((2+1)\)-dimensional supergravity ⋮ Matrix resolvent and the discrete KdV hierarchy ⋮ Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models ⋮ Exact solution of the three-color problem on a random lattice ⋮ Quantum moduli spaces from matrix models ⋮ Analytic and numerical bootstrap for one-matrix model and ``unsolvable two-matrix model ⋮ Konishi anomaly and \(N=1\) effective superpotentials from the matrix models ⋮ Enumeration of non-oriented maps via integrability ⋮ Strong-coupling phases of planar \(\mathcal{N}=2^\ast\) super-Yang-Mills theory ⋮ Confinement and Mayer cluster expansions

Cites Work

This page was built for publication: D-particles, matrix integrals and KP hierarchy.