Gauging discrete symmetries of TN -theories in five dimensions

Neil Lambert; Bobby Acharya; Marwan Najjar; Jiahua Tian; Eirik Svanes

doi:10.1007/JHEP04(2022)114

Gauging discrete symmetries of TN -theories in five dimensions

Neil Lambert, Bobby Acharya, Marwan Najjar, Jiahua Tian, Eirik Svanes

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Abstract

We study the gauging of a discrete Z3 symmetry in the five-dimensional
superconformal TN theories. We argue that this leads to an infinite sequence of five-
dimensional superconformal theories with either E6 × SU(N) or SU(3) × SU(N) global
symmetry group. In the M-theory realisation of TN theories as residing at the origin in C3
the Calabi-Yau orbifolds ZN ×ZN we identify the Z3 symmetry geometrically and the new C3
theories arise from M-theory on the non-Abelian orbifolds (ZN×ZN )/Z3. On the other hand, in the (p, q) 5-brane web description in Type IIB theory, the symmetry combines the U-duality symmetry with a rotation in space, defining a so-called U-fold background, where the E6 symmetry is manifest.

Original language	English
Title of host publication	Gauging discrete symmetries of TN -theories in five dimensions
Publisher	JHEP
Volume	04
DOIs	https://doi.org/10.1007/JHEP04(2022)114
Publication status	Published - 20 Apr 2022

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title = "Gauging discrete symmetries of TN -theories in five dimensions",

abstract = "We study the gauging of a discrete Z3 symmetry in the five-dimensionalsuperconformal TN theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E6 × SU(N) or SU(3) × SU(N) globalsymmetry group. In the M-theory realisation of TN theories as residing at the origin in C3the Calabi-Yau orbifolds ZN ×ZN we identify the Z3 symmetry geometrically and the new C3theories arise from M-theory on the non-Abelian orbifolds (ZN×ZN )/Z3. On the other hand, in the (p, q) 5-brane web description in Type IIB theory, the symmetry combines the U-duality symmetry with a rotation in space, defining a so-called U-fold background, where the E6 symmetry is manifest.",

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T1 - Gauging discrete symmetries of TN -theories in five dimensions

AU - Lambert, Neil

AU - Acharya, Bobby

AU - Najjar, Marwan

AU - Tian, Jiahua

AU - Svanes, Eirik

PY - 2022/4/20

Y1 - 2022/4/20

N2 - We study the gauging of a discrete Z3 symmetry in the five-dimensionalsuperconformal TN theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E6 × SU(N) or SU(3) × SU(N) globalsymmetry group. In the M-theory realisation of TN theories as residing at the origin in C3the Calabi-Yau orbifolds ZN ×ZN we identify the Z3 symmetry geometrically and the new C3theories arise from M-theory on the non-Abelian orbifolds (ZN×ZN )/Z3. On the other hand, in the (p, q) 5-brane web description in Type IIB theory, the symmetry combines the U-duality symmetry with a rotation in space, defining a so-called U-fold background, where the E6 symmetry is manifest.

AB - We study the gauging of a discrete Z3 symmetry in the five-dimensionalsuperconformal TN theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E6 × SU(N) or SU(3) × SU(N) globalsymmetry group. In the M-theory realisation of TN theories as residing at the origin in C3the Calabi-Yau orbifolds ZN ×ZN we identify the Z3 symmetry geometrically and the new C3theories arise from M-theory on the non-Abelian orbifolds (ZN×ZN )/Z3. On the other hand, in the (p, q) 5-brane web description in Type IIB theory, the symmetry combines the U-duality symmetry with a rotation in space, defining a so-called U-fold background, where the E6 symmetry is manifest.

U2 - 10.1007/JHEP04(2022)114

DO - 10.1007/JHEP04(2022)114

M3 - Conference paper

VL - 04

BT - Gauging discrete symmetries of TN -theories in five dimensions

PB - JHEP

ER -

Gauging discrete symmetries of TN -theories in five dimensions

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