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Super instanton counting and localization
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abstract
We study the super instanton solution in the gauge theory with U$(n_{+}| n_{-})$ gauge group. Based on the ADHM construction generalized to the supergroup theory, we derive the instanton partition function from the super instanton moduli space through the equivariant localization. We derive the Seiberg-Witten geometry and its quantization for the supergroup gauge theory from the instanton partition function, and study the connection with classical and quantum integrable systems. We also argue the brane realization of the supergroup quiver gauge theory, and possible connection to the non-supergroup quiver gauge theories.
Forward citations
Cited by 2 Pith papers
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Quantum Elliptic Calogero-Moser Systems from Gauge Origami
The gauge-origami folded instanton partition function yields the characteristic polynomial whose large-x expansion reproduces the commuting Hamiltonians of the elliptic double Calogero-Moser system.
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Gauge Origami and BPS/CFT correspondence
The gauge origami partition function on C4 is realized as a correlation function of BPS qq-character operators, with D6 and D8 characters labeled by plane and solid partitions.
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