A holomorphic and background independent partition function for matrix models and topological strings
From MaRDI portal
Publication:538087
DOI10.1016/j.geomphys.2010.11.012zbMath1215.81084arXiv0810.4273OpenAlexW1971357369MaRDI QIDQ538087
Bertrand Eynard, Marcos Mariño
Publication date: 23 May 2011
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.4273
String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items
Deformations of special geometry: in search of the topological string, Indefinite theta functions for counting attractor backgrounds, Orientifolding of the ABJ Fermi gas, Wronskians, dualities and FZZT-cardy branes, Exact results in \( \mathcal{N}=8 \) Chern-Simons-matter theories and quantum geometry, Factorisation of \( \mathcal{N} = 2 \) theories on the squashed 3-sphere, Topological strings from quantum mechanics, Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion, CFT and topological recursion, From topological recursion to wave functions and PDEs quantizing hyperelliptic curves, 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis, Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models, Exact eigenfunctions and the open topological string, Spectral determinants and quantum theta functions, Asymptotics, ambiguities and resurgence, Open topological strings and integrable hierarchies: remodeling the A-model, A matrix model for the topological string. I: Deriving the matrix model, Spectral theory and mirror symmetry, Stokes phenomena and non-perturbative completion in the multi-cut two-matrix models, Stokes phenomena and quantum integrability in non-critical string/M theory, Reconstructing WKB from topological recursion, Non-perturbative topological strings and conformal blocks, Argyres-Douglas theories, Painlevé II and quantum mechanics, ABJM theory as a Fermi gas, Spectral theory and mirror curves of higher genus, A \& B model approaches to surface operators and Toda thoeries, Quantum spectral curve for the Gromov-Witten theory of the complex projective line, New recursive residue formulas for the topological expansion of the Cauchy matrix model, Quantum curves for Hitchin fibrations and the Eynard-Orantin theory, Holomorphicity and modularity in Seiberg-Witten theories with matter, Large N duality beyond the genus expansion, The resurgence of instantons: multi-cut Stokes phases and the Painlevé II equation, Resurgent transseries and the holomorphic anomaly, A-polynomial, B-model, and quantization, A-Polynomial, B-Model, and Quantization, Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hermitian matrix model free energy: Feynman graph technique for all genera
- Topological wave functions and heat equations
- Free energy topological expansion for the 2-matrix model
- Boutroux curves with external field: equilibrium measures without a variational problem
- Topological strings and integrable hierarchies
- Remodeling the B-model
- Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
- Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
- Invariants of algebraic curves and topological expansion
- Erratum: ``2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
- Topological strings and (almost) modular forms
- Theta functions, modular invariance, and strings
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- Theta functions on Riemann surfaces
- Matrix models, topological strings, and supersymmetric gauge theories
- Bilinear semiclassical moment functionals and their integral representation
- Chern-Simons theory on \(L(p,q)\) Lens spaces and Gopakumar-Vafa duality
- Multi-instantons and multicuts
- Introduction to Classical Integrable Systems
- Breakdown of universality in multi-cut matrix models
- On long time unitarity restoring processes in the presence of eternal black holes
- All order asymptotic expansion of large partitions
- On the gauge theory/geometry correspondence
- On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.
