Instanton sums and five-dimensional gauge theories

Albion Lawrence; Nikita Nekrasov (Harvard U.)

Instanton sums and five-dimensional gauge theories

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arxiv hep-th/9706025 v2 pith:SZG6QCLF submitted 1997-06-04 hep-th

Albion Lawrence , Nikita Nekrasov (Harvard U.) This is my paper · ORCID

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keywords instantonsworldsheetcorrectionsinstantonnaturalspacetimetypeanalyze

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abstract

We analyze the vector multiplet prepotential of d=4, N=2 type IIA compactifications. We find that the worldsheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension being compactified on a circle of radius $g_{s}\ell_{s}$. We argue that the relation between spacetime and worldsheet instantons is natural from this point of view. We also discuss the map between the type IIA worldsheet instantons and the spacetime instantons in the heterotic dual.

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$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
hep-th 2025-07 conditional novelty 7.0 of 10

In 5d N=1 U(N) gauge theory, codimension-two defects produce Q-operators whose q-difference equations are the Baxter TQ equations of XXZ spin chains built on bi-infinite evaluation modules of quantum affine algebras.

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