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M5 branes and Theta Functions

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arxiv 1811.04938 v3 pith:MWUIXQEG submitted 2018-11-12 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords functionsthetabraneslststheoriesallowsalongarising
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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.

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  1. Surface Defects in $A$-type Little String Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.

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