Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories

Kaidi, Justin; Ohmori, Kantaro; Zheng, Yunqin

doi:10.1103/PhysRevLett.128.111601

Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories

Justin Kaidi
(
- Stony Brook U., New York, SCGP
)
,
Kantaro Ohmori
(
- Tokyo U.
)
,
Yunqin Zheng
(
- Tokyo U., IPMU and
- U. Tokyo (main) and
- Tokyo U., ISSP
)

Nov 1, 2021

12 pages

Published in:

Phys.Rev.Lett. 128 (2022) 11, 111601

Published: Mar 15, 2022

e-Print:

2111.01141 [hep-th]

DOI:

10.1103/PhysRevLett.128.111601 (publication)

View in:

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Abstract: (APS)

We introduce a class of noninvertible topological defects in

(3 + 1) D

gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the

(1 + 1) D

critical Ising model. As in the lower-dimensional case, the presence of such noninvertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at

θ = π

,

N = 1

SO(3) super YM, and

N = 4

SU(2) super YM at

τ = i

. We also introduce an analogous construction in

(2 + 1) D

, and give a number of examples in Chern-Simons–matter theories.

Note:

12 pages; v3: publication version

defect: topological
gauge field theory: SO(3)
Ising model
higher-dimensional
fusion
self-duality
supersymmetry
Chern-Simons term
dimension: 4

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Figures(0)

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