ADE Little String Theory on a Riemann Surface (and Triality)

Abstract

We initiate the study of (2,0) little string theory of ADE type using its definition in terms of IIB string compactified on an ADE singularity. As one application, we derive a 5d ADE quiver gauge theory that describes the little string compactified on a sphere with three full punctures, at low energies. As a second application, we show the partition function of this theory equals the 3-point conformal block of ADE Toda CFT, q-deformed. To establish this, we generalize the A_n triality of \cite{AHS} to all ADE Lie algebras; IIB string perspective is crucial for this as well.

79 pages, 12 figures

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Cited by in corpus (20)

• Ding-Iohara-Miki symmetry of network matrix models
• Explicit examples of DIM constraints for network matrix models
• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• 4D Gauge Theories with Conformal Matter
• Decomposing Nekrasov Decomposition
• A slow review of the AGT correspondence
• Triality in Little String Theories
• From 6D SCFTs to Dynamic GLSMs
• (q,t)-KZ equation for Ding-Iohara-Miki algebra
• The MacMahon R-matrix
• 3d Mirror Symmetry from S-duality
• Quantum q-Langlands Correspondence
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• Elliptic Virasoro Conformal Blocks
• On Factorization of Generalized Macdonald Polynomials
• Bootstrapping the $S^5$ partition function
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Little String Defects and Bala-Carter Theory
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Knot Categorification from Mirror Symmetry, Part II: Lagrangians