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Monopole Operators and Bulk-Boundary Relation in Holomorphic Topological Theories

by Keyou Zeng

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Submission summary

Authors (as registered SciPost users): Keyou Zeng
Submission information
Preprint Link: https://arxiv.org/abs/2111.00955v3  (pdf)
Date accepted: 2023-04-11
Date submitted: 2022-11-10 02:26
Submitted by: Zeng, Keyou
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Mathematical Physics
Approach: Theoretical

Abstract

We study the holomorphic twist of 3d N = 2 supersymmetric field theories, discuss the perturbative bulk local operators in general, and explicitly construct non perturbative bulk local operators for abelian gauge theories. Our construction is verified by matching the character of the algebra with the superconformal index. We test a conjectural relation between the derived center of boundary algebras and bulk algebras in various cases, including Landau-Ginzburg models with an arbitrary superpotential and some abelian gauge theories. In the latter cases, monopole operators appear in the derived center of a perturbative boundary algebra. We briefly discuss the higher structures in both boundary and bulk algebras.

Published as SciPost Phys. 14, 153 (2023)




Reports on this Submission

Anonymous Report 2 on 2023-2-14 (Invited Report)

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The author successfully supplemented requested changes. Therefore, I recommend to publish the article.

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Anonymous Report 1 on 2022-11-23 (Invited Report)

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The author has provided a new , updated version of this work, in which has applied the recommended modifications/additions stated in the previous referee report (indicatively the addition of the colclusions and discussion section, in which the author provides a clear summary of the analysis and results obtained).

I therefore strongly recommend this paper for publication in SciPost Physics.

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