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キーワード:
High Energy Physics - Theory, hep-th
要旨:
A Formal Higher Spin Gravity in five dimensions is constructed. It was shown
recently that constructing formally consistent classical equations of motion of
higher spin gravities is equivalent to finding a certain deformation of a given
higher spin algebra. A strong homotopy algebra encoding the interaction
vertices then follows. We propose two different and novel realizations of the
deformed higher spin algebra in the case of five dimensions: one in terms of
the universal enveloping algebra of $su(2,2)$ and the other by means of
oscillator variables. Both the new realizations are amenable to supersymmetric
extensions and the $\mathcal{N}=8$ case underlies the massless sector of
tensionless strings.