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Intersecting surface defects and instanton partition functions

We analyze intersecting surface defects inserted in interacting four-dimensional \( \mathcal{N}=2 \) supersymmetric quantum field theories. We employ the realization of a class of such systems as the infrared fixed points of renormalization group flows from larger theories, triggered by perturbed Seiberg-Witten monopole-like configurations, to compute their partition functions...

On rigid supersymmetry and notions of holomorphy in five dimensions

We study the equations governing rigid \( \mathcal{N}=1 \) supersymmetry in five dimensions. If the supersymmetry spinor satisfies a reality condition, these are foliations admitting families of almost complex structures on the leaves. In other words, all these manifolds have families of almost Cauchy-Riemann (CR) structures. After deriving integrability conditions under which...

Ellipsoid partition function from Seiberg-Witten monopoles

We study Higgs branch localization of \( \mathcal{N}=2 \) supersymmetric theories placed on compact Euclidean manifolds. We analyze the resulting localization equations in detail on the four-sphere and find that in this case the path integral is dominated by vortex-like configurations as well as singular Seiberg-Witten monopoles located at the north and south pole. The partition...

5d Higgs branch localization, Seiberg-Witten equations and contact geometry

In this paper we apply the idea of Higgs branch localization to 5d supersymmetric theories of vector multiplet and hypermultiplets, obtained as the rigid limit of \( \mathcal{N} \) = 1 supergravity with all auxiliary fields. On supersymmetric K-contact/Sasakian background, the Higgs branch BPS equations can be interpreted as 5d generalizations of the Seiberg-Witten equations. We...

Rigid supersymmetry on 5-dimensional Riemannian manifolds and contact geometry

Yiwen Pan 0 Open Access 0 c The Authors. Article funded by SCOAP 0 0 C.N. Yang Institute for Theoretical Physics , Stony Brook, NY , 11790, U.S.A In this note we generalize the methods of [1-3] to