Gauging discrete symmetries of TN-theories in five dimensions

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

doi:10.1007/JHEP04(2022)114

Gauging discrete symmetries of T_N-theories in five dimensions

Bobby Acharya, Neil Lambert, Marwan Najjar, Eirik Eik Svanes, Jiahua Tian^*

^*Corresponding author for this work

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

15 Citations (Scopus)

Abstract

We study the gauging of a discrete ℤ₃ symmetry in the five-dimensional superconformal T_N 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 T_N theories as residing at the origin in the Calabi-Yau orbifolds ℂ3ℤN×ℤN we identify the ℤ₃ symmetry geometrically and the new theories arise from M-theory on the non-Abelian orbifolds (ℂ3ℤN×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
Article number	114
Journal	Journal of High Energy Physics
Volume	2022
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2022)114
Publication status	Published - Apr 2022

Keywords

Field Theories in Higher Dimensions
Global Symmetries
M-Theory
P-Branes

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10.1007/JHEP04(2022)114

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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-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 the Calabi-Yau orbifolds ℂ3ℤN×ℤN we identify the ℤ3 symmetry geometrically and the new theories arise from M-theory on the non-Abelian orbifolds (ℂ3ℤN×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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AU - Tian, Jiahua

PY - 2022/4

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N2 - 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 the Calabi-Yau orbifolds ℂ3ℤN×ℤN we identify the ℤ3 symmetry geometrically and the new theories arise from M-theory on the non-Abelian orbifolds (ℂ3ℤN×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-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 the Calabi-Yau orbifolds ℂ3ℤN×ℤN we identify the ℤ3 symmetry geometrically and the new theories arise from M-theory on the non-Abelian orbifolds (ℂ3ℤN×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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Gauging discrete symmetries of T_N-theories in five dimensions

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Keywords

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