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We propose quantum states for Little String Theories (LSTs) arising from M5branes probing A- and D-type singularities. This extends Witten's picture of M5brane partition functions as theta functions to this more general setup.Compactifying the world-volume of the five-branes on a two-torus, we find thatthe corresponding theta functions are sections of line bundles over complex4-tori. This formalism allows us to derive Seiberg-Witten curves for theresulting four-dimensional theories. Along the way, we prove a duality for LSTsobserved by Iqbal, Hohenegger and Rey.

M5 branes and Theta Functions