A network of hyperloops

Ziwen Kong

doi:10.1007/JHEP06(2023)111

A network of hyperloops

Ziwen Kong

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional N = 4 Chern-Simons-matter theory on S ³. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in [1, 2] and [3], the total moduli spaces are closed under this formalism.

Original language	English
Article number	111
Journal	Journal of High Energy Physics
Volume	2023
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2023)111
Publication status	Published - 20 Jun 2023

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10.1007/JHEP06(2023)111

https://link.springer.com/article/10.1007/JHEP06(2023)111

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title = "A network of hyperloops",

abstract = "In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional N = 4 Chern-Simons-matter theory on S 3. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in [1, 2] and [3], the total moduli spaces are closed under this formalism.",

author = "Ziwen Kong",

note = "Funding Information: We would like to thank N. Drukker for suggesting us to write this paper, for his support and inspirational comments throughout the project, and for his great help in improving the draft. And we would like to acknowledge related collaboration with N. Drukker, M. Probst, M. Tenser and D. Trancanelli. The work of ZK is supported by CSC grant No. 201906340174. ZK would like to thank the University of Barcelona and the DESY theory group for their hospitality in the course of this work. Funding Information: We would like to thank N. Drukker for suggesting us to write this paper, for his support and inspirational comments throughout the project, and for his great help in improving the draft. And we would like to acknowledge related collaboration with N. Drukker, M. Probst, M. Tenser and D. Trancanelli. The work of ZK is supported by CSC grant No. 201906340174. ZK would like to thank the University of Barcelona and the DESY theory group for their hospitality in the course of this work. Publisher Copyright: {\textcopyright} 2023, The Author(s).",

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N1 - Funding Information: We would like to thank N. Drukker for suggesting us to write this paper, for his support and inspirational comments throughout the project, and for his great help in improving the draft. And we would like to acknowledge related collaboration with N. Drukker, M. Probst, M. Tenser and D. Trancanelli. The work of ZK is supported by CSC grant No. 201906340174. ZK would like to thank the University of Barcelona and the DESY theory group for their hospitality in the course of this work. Funding Information: We would like to thank N. Drukker for suggesting us to write this paper, for his support and inspirational comments throughout the project, and for his great help in improving the draft. And we would like to acknowledge related collaboration with N. Drukker, M. Probst, M. Tenser and D. Trancanelli. The work of ZK is supported by CSC grant No. 201906340174. ZK would like to thank the University of Barcelona and the DESY theory group for their hospitality in the course of this work. Publisher Copyright: © 2023, The Author(s).

PY - 2023/6/20

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N2 - In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional N = 4 Chern-Simons-matter theory on S 3. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in [1, 2] and [3], the total moduli spaces are closed under this formalism.

AB - In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional N = 4 Chern-Simons-matter theory on S 3. The algorithm is to start with a supersymmetric Wilson loop, choose a preserved supercharge, and look for BPS deformations built out of the matter fields in the proper representations. Using this, we discover many new moduli spaces of nonconformal BPS Wilson loops preserving a single or two supercharges, which are subsets of the symmetries of the 1/4 and 3/8 BPS operators. Along with the those previously found in [1, 2] and [3], the total moduli spaces are closed under this formalism.

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

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ER -

A network of hyperloops

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