DOI10.1016/j.aim.2003.11.009zbMath1077.33024arXivmath/0306164OpenAlexW2063569881MaRDI QIDQ1763634
Atsushi Narukawa
Publication date: 22 February 2005
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0306164
On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines,
Chern-Simons theory with the exceptional gauge group as a refined topological string,
\(q\)-Virasoro modular double and 3d partition functions,
Superconformal partition functions and non-perturbative topological strings,
7D supersymmetric Yang-Mills on a 3-Sasakian manifold,
High-temperature asymptotics of supersymmetric partition functions,
Conformal TBA for resolved conifolds,
The superconformal index of the \((2,0)\) theory with defects,
Exact Chern-Simons / topological string duality,
Factorisation and holomorphic blocks in 4d,
Gamma and sine functions for Lie groups and period integrals,
Partition functions for supersymmetric gauge theories on spheres,
On matrix models and their \(q\)-deformations,
Universal volume of groups and anomaly of Vogel's symmetry,
Multiple elliptic gamma functions associated to cones,
From 5d flat connections to 4d fluxes (the art of slicing the cone),
Integrable quad equations derived from the quantum Yang-Baxter equation,
Quantum Riemann-Hilbert problems for the resolved conifold,
Introduction to localization in quantum field theory,
Review of localization for 5d supersymmetric gauge theories,
The star-triangle relation, lens partition function, and hypergeometric sum/integrals,
On refined Chern-Simons/topological string duality for classical gauge groups,
Multiple gamma functions, multiple sine functions, and Appell's \(O\)-functions,
Quantum curves, resurgence and exact WKB,
Elliptic modular double and 4d partition functions,
Partition functions and fibering operators on the Coulomb branch of 5d SCFTs,
7D supersymmetric Yang-Mills on curved manifolds,
Mathematical structures of non-perturbative topological string theory: from GW to DT invariants,
Elliptic quantum toroidal algebra \(U_{q,t,p}(\mathfrak{gl}_{1,tor})\) and affine quiver gauge theories,
Modified elliptic gamma functions and 6d superconformal indices,
On certain two-parameter deformations of multiple zeta values,
\(q\)-Virasoro modular triple,
A gerbe for the elliptic gamma function,
Elliptic hypergeometric sum/integral transformations and supersymmetric lens index,
ADE string chains and mirror symmetry,
The hyperbolic asymptotics of elliptic hypergeometric integrals arising in supersymmetric gauge theory,
Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey,
The 5d superconformal index at large \(N\) and black holes,
Supersymmetric phases of 4d \(\mathcal{N} = 4\) SYM at large \(N\),
5d Higgs branch localization, Seiberg-Witten equations and contact geometry,
Gauge theories with 16 supersymmetries on spheres,
The asymptotic growth of states of the 4d \(\mathcal{N}=1\) superconformal index,
From \(3d\) dualities to \(2d\) free field correlators and back,
Exact SUSY Wilson loops on \(S^3\) from \(q\)-Virasoro constraints,
Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\),
Cardy-like asymptotics of the 4d \( \mathcal{N}=4 \) index and $\mathrm{AdS}_5$ black holes,
Limits of elliptic hypergeometric integrals,
An addition type formula for the elliptic digamma function,
Riemann-Hilbert problems for the resolved conifold and non-perturbative partition functions,
7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds,
Modularity of supersymmetric partition functions,
SYM on quotients of spheres and complex projective spaces,
Gluing Nekrasov partition functions