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- W3023808861 abstract "We formulate a $N=(2,0)$ supersymmetric non-Abelian Proca-Stuckelberg theory in six space-time dimensions (6D). As the foundation of our construction, we start with our recent work on $N=1$ supersymmetric Proca-Stuckelberg formulation in 4D with a Yang-Mills (YM) multiplet $({{A}_{ensuremath{mu}}}^{I},{ensuremath{lambda}}^{I})$ and a chiral multiplet $({ensuremath{varphi}}^{I},{ensuremath{chi}}^{I},{ensuremath{phi}}^{I})$, where the index $I=1,2,dots{},mathrm{dim}text{ }G$ is for the adjoint representation of a non-Abelian group $G$, while ${ensuremath{varphi}}^{I}$ parametrizes the coordinates of the group manifold $G$. Since ${ensuremath{varphi}}^{I}$ and ${ensuremath{phi}}^{I}$ transform differently under $G$, the conventional global $R$ symmetry is lost. Next, we apply this mechanism to 6D with the two multiplets: a YM multiplet $({{A}_{ensuremath{mu}}}^{I},{ensuremath{lambda}}^{underset{_}{ensuremath{alpha}}I})$ and a hypermultiplet (HM) $({ensuremath{phi}}^{iJ},{{ensuremath{chi}}_{underset{_}{ensuremath{alpha}}}}^{I},{ensuremath{varphi}}^{I})$. The index $i=1,2,3$ is for the $mathbf{3}$ of $Sp(1)$. The spinorial index $underset{_}{ensuremath{alpha}}=(ensuremath{alpha},A)$ ($ensuremath{alpha}=1,dots{},4$) is for the Majorana-Weyl spinor index for $D=5+1$ with $A=1,2$ for the $mathbf{2}$ of $Sp(1)$. As opposed to the common notion that all four scalars in a HM in 6D must form the ($mathbf{2},mathbf{2}$) of global $Sp(1)ifmmodetimeselsetexttimesfi{}Sp(1)$, we can use a scalar ${ensuremath{varphi}}^{I}$ in the ($mathbf{1},mathbf{1}$) of $Sp(1)ifmmodetimeselsetexttimesfi{}Sp(1)$ as a Nambu-Goldstone boson absorbed into the longitudinal component of ${{A}_{ensuremath{mu}}}^{I}$, separated from the remaining three scalars ${ensuremath{phi}}^{iI}$ in the ($mathbf{3},mathbf{1}$) of $Sp(1)ifmmodetimeselsetexttimesfi{}Sp(1)$. Similar to our recent result in 4D with broken automorphism $R$ symmetry, the new feature of our result is that all four scalars in the HM in 6D do not have to form the ($mathbf{2},mathbf{2}$) of $Sp(1)ifmmodetimeselsetexttimesfi{}Sp(1)$." @default.
- W3023808861 created "2020-05-13" @default.
- W3023808861 creator A5017078883 @default.
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- W3023808861 date "2020-05-07" @default.
- W3023808861 modified "2023-09-27" @default.
- W3023808861 title "N=(2,0) non-Abelian Proca-Stückelberg theory in six dimensions" @default.
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- W3023808861 doi "https://doi.org/10.1103/physrevd.101.105005" @default.
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