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Gauging discrete symmetries of TN-theories in five dimensions

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

Original languageEnglish
Article number114
JournalJournal of High Energy Physics
Issue number4
PublishedApr 2022

Bibliographical note

Publisher Copyright: © 2022, The Author(s).

King's Authors


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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