Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle

Nadav Drukker; Ziwen Kong; Malte Probst; Marcia Tenser; Diego Trancanelli

doi:10.1007/JHEP08(2022)165

Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle

Nadav Drukker, Ziwen Kong, Malte Probst, Marcia Tenser, Diego Trancanelli

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

7 Citations (Scopus)

Abstract

We construct new large classes of BPS Wilson hyperloops in three-dimensional N = 4 quiver Chern-Simons-matter theory on S ³. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination of the supercharges it preserves, and look for deformations built out of the matter fields that still preserve that supercharge. This is a powerful generalization of a recently developed approach based on deformations of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at discovering new operators than older methods relying on complicated ansätze. We discover many new moduli spaces of BPS hyperloops preserving varied numbers of supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator. In particular, we find new bosonic operators preserving 2 or 3 supercharges as well as new families of loops that do not share supercharges with any bosonic loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal.

Original language	English
Article number	165
Journal	Journal of High Energy Physics
Volume	2022
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2022)165
Publication status	Published - Aug 2022

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title = "Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle",

abstract = "We construct new large classes of BPS Wilson hyperloops in three-dimensional N = 4 quiver Chern-Simons-matter theory on S 3. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination of the supercharges it preserves, and look for deformations built out of the matter fields that still preserve that supercharge. This is a powerful generalization of a recently developed approach based on deformations of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at discovering new operators than older methods relying on complicated ans{\"a}tze. We discover many new moduli spaces of BPS hyperloops preserving varied numbers of supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator. In particular, we find new bosonic operators preserving 2 or 3 supercharges as well as new families of loops that do not share supercharges with any bosonic loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal. ",

author = "Nadav Drukker and Ziwen Kong and Malte Probst and Marcia Tenser and Diego Trancanelli",

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T1 - Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle

AU - Drukker, Nadav

AU - Kong, Ziwen

AU - Probst, Malte

AU - Tenser, Marcia

AU - Trancanelli, Diego

PY - 2022/8

Y1 - 2022/8

N2 - We construct new large classes of BPS Wilson hyperloops in three-dimensional N = 4 quiver Chern-Simons-matter theory on S 3. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination of the supercharges it preserves, and look for deformations built out of the matter fields that still preserve that supercharge. This is a powerful generalization of a recently developed approach based on deformations of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at discovering new operators than older methods relying on complicated ansätze. We discover many new moduli spaces of BPS hyperloops preserving varied numbers of supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator. In particular, we find new bosonic operators preserving 2 or 3 supercharges as well as new families of loops that do not share supercharges with any bosonic loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal.

AB - We construct new large classes of BPS Wilson hyperloops in three-dimensional N = 4 quiver Chern-Simons-matter theory on S 3. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination of the supercharges it preserves, and look for deformations built out of the matter fields that still preserve that supercharge. This is a powerful generalization of a recently developed approach based on deformations of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at discovering new operators than older methods relying on complicated ansätze. We discover many new moduli spaces of BPS hyperloops preserving varied numbers of supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator. In particular, we find new bosonic operators preserving 2 or 3 supercharges as well as new families of loops that do not share supercharges with any bosonic loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal.

UR - https://arxiv.org/abs/2206.07390

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U2 - 10.1007/JHEP08(2022)165

DO - 10.1007/JHEP08(2022)165

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VL - 2022

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 165

ER -

Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle

Abstract

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