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4d mirror-like dualities

Chiung Hwang
(
- INFN, Milan Bicocca
)
,
Sara Pasquetti
(
- INFN, Milan Bicocca
)
,
Matteo Sacchi
(
- INFN, Milan Bicocca
)

Feb 28, 2020

85 pages

Published in:

JHEP 09 (2020) 047

Published: Sep 7, 2020

e-Print:

2002.12897 [hep-th]

DOI:

10.1007/JHEP09(2020)047

View in:

reference search39 citations

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Abstract: (Springer)

We construct a family of 4d

\mathcal{N}

= 1 theories that we call

{E}_{\rho}^{\sigma }

[USp(2N)] which exhibit a novel type of 4d IR duality very reminiscent of the mirror duality enjoyed by the 3d

\mathcal{N}

= 4

{T}_{\rho}^{\sigma }

[SU(N)] theories. We obtain the

{E}_{\rho}^{\sigma }

[USp(2N)] theories from the recently introduced E[USp(2N )] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2N) × USp(2N) IR symmetries of the E[USp(2N)] theory. These vevs are the 4d uplift of the ones we turn on for the moment maps of T[SU(N)] to trigger the flow to

{T}_{\rho}^{\sigma }

[SU(N)]. Indeed the E[USp(2N)] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T[SU(N)] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T[SU(N)] and E[USp(2N)] theories.

Note:

85 pages, 26 figures; v2: version published on JHEP

Duality in Gauge Field Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
renormalization group: flow
mass: deformation
duality
dimensional reduction
trigger
symmetry: mirror
supersymmetry: 1

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)

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