Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers

Nawata, Satoshi; Sperling, Marcus; Wang, Hao Ellery; Zhong, Zhenghao

doi:10.48550/arxiv.2111.02831

Cited by 2 publications

(2 citation statements)

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“…Hopefully it will be useful in studying aspects of 3D SUSY gauge theories and their dualities [36,[40][41][42]. See [39,[43][44][45] for recent work on line defects in relation to 3D mirror symmetry. The relations among different descriptions that we found in this paper may be useful for the study of codimension-two defects in gauge theories in other dimensions.…”

Section: Discussionmentioning

confidence: 99%

Supersymmetric vortex loops in 3D gauge theories

Hosomichi,

Suzuki

2021

Preprint

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We give a precise definition of BPS vortex loops in 3D non-abelian gauge theories with N = 2 SUSY by the path integral over fields with a prescribed singular behavior. We compute the expectation value of a BPS vortex loop on an ellipsoid. Using the result we revisit the known equivalence between Wilson and vortex loops in pure Chern-Simons theory. Naive computations of expectation values in N = 2 theory leads to an unwanted shift of parameters in the rule of correspondence. We resolve the problem by relating the shift to the global anomaly of N = 2 SUSY quantum mechanics. For theories with U (N ) gauge group we also develop an alternative description of vortex loops in terms of 1D N = 2 SUSY quantum mechanics on their worldline. For vortex loops in N = 4 theories, our construction reproduces some of the quiver GLSMs of Assel and Gomis.

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Section: Discussionmentioning

confidence: 99%

Supersymmetric vortex loops in 3D gauge theories

Hosomichi,

Suzuki

2021

Preprint

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“…One might then hope to implement this algorithm into a computer program similar to what was done in [59]. In verifying the dualities between OSp and unitary quivers, it would be interesting to gether more evidence by matching quantities such as the sphere partition function or the superconformal index, similar to what was done in [153]. There is still no satisfactory path integral interpretation of non-simply-laced edges in 3d N = 4 quivers.…”

Section: Discussionmentioning

confidence: 99%

Dualitites in quantum field theory from string theory

Akhond¹

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Quantum field theory (QFT), is a powerful framework to study diverse phenomena in physics. The range of topics includes the interactions of elementary particles, the continuum limit of condensed matter systems defined on a lattice, models of the expanding universe, as well as quantum gravity. Despite its enormous breadth of applications, it is still quite poorly understood. From a pragmatic point of view, a generic QFT is well understood in the per-turbative regime, where one has a small expansion parameter or coupling constant. That we have a satisfactory understanding of QFTs in the weakly coupled regime, is highlighted by the fact that we have a single formalism, namely feynman diagrams, that can be applied to any weakly coupled theory. Conversely, there is no universal framework to understand non-perturbative and strong coupling phenomena. Instead, we have a distinct set of tools, which apply to distinct sets of very special theories, such as those with supersymmetry or topolog-ical theories. From this perspective, to understand the strong coupling dynamics of a QFT, is to develop a unique formalism that can be applied to solve a generic strongly coupled QFT. The reader should be warned that this thesis will not achieve such an ambitious goal. How-ever, it is good to keep this general philosophy in mind, as a broader motivation for some of the work presented. We will provide, instead, a collection of data points for particular sec-tors of strongly coupled QFTs that are under analytic control. One can hope that some day, these data points can provide the foundations for a more systematic and universal approach. From a more formal viewpoint, quantum field theory, as of yet, has no rigorous mathemati-cal basis. This is particularly bothersome, given the deep interconnections between ideas in modern mathematics and those of QFT [1]. The goal of this thesis is to introduce its reader to a few notable examples, where the former issue can be overcome. The unifying theme of all these examples is their relation to brane dynamics in string theory [2]. We will make extensive use of the string theory embedding of the QFTs under consideration, in order to illuminate their strong coupling dynamics.

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Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers

Cited by 2 publications

References 71 publications

Supersymmetric vortex loops in 3D gauge theories

Supersymmetric vortex loops in 3D gauge theories

Dualitites in quantum field theory from string theory

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