Spiked Instantons from Intersecting D-branes

Abstract

The moduli space of spiked instantons that arises in the context of the BPS/CFT correspondence is realised as the moduli space of classical vacua, i.e. low-energy open string field configurations, of a certain stack of intersecting D1-branes and D5-branes in Type IIB string theory. The presence of a constant B-field induces an interesting dynamics involving the tachyon condensation.

50 pages

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• A slow review of the AGT correspondence
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• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• On Extensions of $\widehat{\mathfrak{gl}(m|n)}$ Kac-Moody algebras and Calabi-Yau Singularities
• BPS/CFT correspondence V: BPZ and KZ equations from qq-characters
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• On the Quantization of Seiberg-Witten Geometry
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• Evidence for an Algebra of ${\mathbf{G}}_2$ Instantons
• Parallel surface defects, Hecke operators, and quantum Hitchin system
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