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キーワード:
High Energy Physics - Theory, hep-th
要旨:
We derive new ansaetze for the 4-form field strength of D=11 supergravity
corresponding to uplifts of four-dimensional maximal gauged supergravity. In
particular, the ansaetze directly yield the components of the 4-form field
strength in terms of the scalars and vectors of the four-dimensional maximal
gauged supergravity---in this way they provide an explicit uplift of all
four-dimensional consistent truncations of D=11 supergravity. The new ansaetze
provide a substantially simpler method for uplifting d=4 flows compared to the
previously available method using the 3-form and 6-form potential ansaetze. The
ansatz for the Freund-Rubin term allows us to conjecture a `master formula' for
the latter in terms of the scalar potential of d=4 gauged supergravity and its
first derivative. We also resolve a long-standing puzzle concerning the
antisymmetry of the flux obtained from uplift ansaetze.
