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8 papers found.
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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. ...

Deformation Quantization and Superconformal Symmetry in Three Dimensions

We investigate the structure of certain protected operator algebras that arise in three-dimensional \({\mathcal{N}=4}\) superconformal field theories. We find that these algebras can be understood as a quantization of (either of) the half-BPS chiral ring(s). An important feature of this quantization is that it has a preferred basis in which the structure constants of the quantum ...

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 ...

Higgs branch localization of \( \mathcal{N} \) = 1 theories on S 3 × S 1

Wolfger Peelaers 0 Open Access 0 c The Authors. Article funded by SCOAP 0 0 C.N. Yang Institute for Theoretical Physics, Stony Brook University , Stony Brook, NY 11794, U.S.A We apply the method of

Chiral algebras for trinion theories

It was recently understood that one can identify a chiral algebra in any four-dimensional \( \mathcal{N}=2 \) superconformal theory. In this note, we conjecture the full set of generators of the chiral algebras associated with the T n theories. The conjecture is motivated by making manifest the critical affine module structure in the graded partition function of the chiral ...

Higgs branch localization in three dimensions

Francesco Benini 1 Wolfger Peelaers 0 Open Access c The Authors. Article funded by SCOAP 0 C.N. Yang Institute for Theoretical Physics, Stony Brook University , Stony Brook, NY 11794, U.S.A 1

Chiral algebras of class \( \mathcal{S} \)

Four-dimensional \( \mathcal{N} \) = 2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in the context of theories of class \( \mathcal{S} \). The class \( \mathcal{S} \) duality web implies nontrivial associativity ...

The superconformal index of class \( \mathcal{S} \) theories of type D

Madalena Lemos 0 Wolfger Peelaers 0 Leonardo Rastelli 0 0 C.N. Yang Institute for Theoretical Physics, Stony Brook University , Stony Brook, NY 11794-3840, U.S.A We consider the superconformal