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E6Tensors: A Mathematica Package for E6 Tensors

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arxiv 1605.05920 v1 pith:6P5CFSPZ submitted 2016-05-19 hep-ph hep-th

Thomas Deppisch This is my paper · ORCID
classification hep-phhep-th
keywords e6tensorsexpressionsgaugemathematicapackagetensorsadditionalong
verification ladder T0 review T1 audit T2 compute T3 formal

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We present the Mathematica package E6Tensors, a tool for explicit tensor calculations in E6 gauge theories. In addition to matrix expressions for the group generators of E6, it provides structure constants, various higher rank tensors and expressions for the representations 27, 78, 351 and 351'. This paper comes along with a short manual including physically relevant examples. I further give a complete list of gauge invariant, renormalisable terms for superpotentials and Lagrangians.

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  1. Dynamics of $E_6$ Chiral Gauge Theories

    hep-th 2025-05 conditional novelty 7.0 of 10

    E6 gauge theories with NF=1,2,3 fundamentals are solved in the near-supersymmetric limit, and NF=3 admits a vacuum with unbroken SU(3) and massless composite fermions in the 10 representation.

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