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- W2952190735 abstract "A quadratic Leibniz algebra $(mathbb{V},[ifmmodecdotelsetextperiodcenteredfi{},ifmmodecdotelsetextperiodcenteredfi{}],ensuremath{kappa})$ gives rise to a canonical Yang-Mills type functional $S$ over every space-time manifold. The gauge fields consist of 1-forms $A$ taking values in $mathbb{V}$ and 2-forms $B$ with values in the subspace $mathbb{W}ensuremath{subset}mathbb{V}$ generated by the symmetric part of the bracket. If the Leibniz bracket is antisymmetric, the quadratic Leibniz algebra reduces to a quadratic Lie algebra, $Bensuremath{equiv}0$, and $S$ becomes identical to the usual Yang-Mills action functional. We describe this gauge theory for a general quadratic Leibniz algebra. We then prove its (classical and quantum) equivalence to a Yang-Mills theory for the Lie algebra $mathfrak{g}=mathbb{V}/mathbb{W}$ to which one couples massive 2-form fields living in a $mathfrak{g}$-representation. Since in the original formulation the $B$-fields have their own gauge symmetry, this equivalence can be used as an elegant mass-generating mechanism for 2-form gauge fields, thus providing a ``higher Higgs mechanism'' for those fields." @default.
- W2952190735 created "2019-06-27" @default.
- W2952190735 creator A5090202257 @default.
- W2952190735 date "2019-06-20" @default.
- W2952190735 modified "2023-10-14" @default.
- W2952190735 title "Leibniz-Yang-Mills gauge theories and the 2-Higgs mechanism" @default.
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- W2952190735 doi "https://doi.org/10.1103/physrevd.99.115026" @default.
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