Unlocking the axion-dilaton in 5D supergravity

Abstract

We revisit supersymmetric solutions to five dimensional ungauged N=1 supergravity with dynamic hypermultiplets. In particular we focus on a truncation to the axion-dilaton contained in the universal hypermultiplet. The relevant solutions are fibrations over a four-dimensional Kähler base with a holomorphic axion-dilaton. We focus on solutions with additional symmetries and classify Killing vectors which preserve the additional structure imposed by supersymmetry; in particular we extend the existing classification of solutions with a space-like U(1) isometry to the case where the Killing vector is rotational. We elaborate on general geometrical aspects which we illustrate in some simple examples. We especially discuss solutions describing the backreaction of M2-branes, which for example play a role in the black hole deconstruction proposal for microstate geometries.

Chiral boundary conditions for singletons and W-branes

“…As was argued in [7], [8], [9], the scalar profile in the black hole deconstruction solutions is precisely of the form (1.1). Therefore, our results can be interpreted as a no-go argument for the holographic interpretation of the black hole deconstruction solutions within a standard CFT possessing two Virasoro copies (such as the MSW CFT of [27]).…”

“…In investigating possible boundary conditions we require the usual physical conditions motivated by holography: 7 Note that here the leading term is fourth order, so it is not simply a quadratic theory plus higher derivative corrections, which is the typical situation. 8 Since this equation is parity-invariant, the resulting theory also contains the (1, 0) singleton representation carried by the solutions (2.21).…”

“…The next example we will consider is motivated by black hole physics, more specifically the black hole deconstruction proposal for the construction of microstate geometries in supergravity with M2-brane sources [26]. After dimensional reduction to 3 dimensions, these involve AdS gravity coupled to an axion-dilaton field τ [7], [8], [9] rather than the free complex scalar considered in the previous sections. The bulk action is now…”

Supersymmetry and wrapped branes in microstate geometries

“…Thus far, the study of microstate geometries from the five-dimensional perspective has largely focussed on N = 2 supergravity coupled only to vector multiplets; the addition of hypermultiplets add a whole new level of complexity but is required if one is to study wrapped brane states in five dimensions. This has therefore been the starting point for studying the supergravity back-reaction of wrapped branes [27][28][29].…”

“…Wrapped M2 branes in AdS 3 × S 2 were studied in great detail in [27][28][29], where some very interesting new families of BPS solutions were found. These new families were shown to preserve 4 supersymmetries but it was not clear how those supersymmetries would be modified in an asymptotically flat background and how the supersymmetries might depend upon the orientation of one bubble relative to another.…”