M5 branes and Theta Functions

Abstract

We propose quantum states for Little String Theories (LSTs) arising from M5 branes probing A- and D-type singularities. This extends Witten's picture of M5 brane partition functions as theta functions to this more general setup. Compactifying the world-volume of the five-branes on a two-torus, we find that the corresponding theta functions are sections of line bundles over complex 4-tori. This formalism allows us to derive Seiberg-Witten curves for the resulting four-dimensional theories. Along the way, we prove a duality for LSTs observed by Iqbal, Hohenegger and Rey.

27 pages, 1 Figure. v3: included further explanations and corrected typos. This the version published in JHEP

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Cited by in corpus (6)

• Revisiting the classifications of 6d SCFTs and LSTs
• From Little String Free Energies Towards Modular Graph Functions
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Diagrammatic Expansion of Non-Perturbative Little String Free Energies
• Symmetric Orbifold Theories from Little String Residues
• Symmetries in A-Type Little String Theories, Part I