Consistent supersymmetric Kaluza-Klein truncations with massive modes

By J. Gauntlett, Seok Kim, O. Varela, D. Waldram. 2009

222 citations recorded by the source corpus.

We construct consistent Kaluza-Klein reductions of D = 11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki-Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal N = 2 gauged supergravity, to also include a multiplet of massive fields, containing the breathing mode of the Sasaki-Einstein space, and still consistent with N = 2 supersymmetry. In the context of flux compactifications, the Sasaki-Einstein reductions are generalizations of type IIA SU(3)-structure reductions which include both metric and form-field flux and lead to a massive universal tensor multiplet. We carry out a similar analysis for an arbitrary weak G2 manifold leading to an N = 1 supergravity with massive fields. The straightforward extension of our results to the case of the seven-sphere would imply that there is a four-dimensional Lagrangian with N = 8 supersymmetry containing both massless and massive spin two fields. We use our results to construct solutions of M-theory with non-relativistic conformal symmetry.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b377390919b10fd1836486aca4a0bc1c31c533f1

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Citations in the corpus

Spatially modulated instabilities of magnetic black branes (2011, unknown): “We first consider the consistent truncation of D = 11 supergravity on a SE7 manifold to a D = 4 N = 2 gauged supergravity [35].”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, methodology): “Observe that exactly the same vector multiplet structure arises in the D = 4, N = 2 theory obtained from consistent truncation of D = 11 supergravity on an arbitrary SasakiEinstein seven-fold [10].”
Lifshitz solutions of D=10 and D=11 supergravity (2010, background): “These string/M-theory solutions have been significantly further generalised in [8]-[17].”
Ground states of holographic superconductors (2009, background): “The AdS5-to-AdS5 case was based on [11] and was reported on earlier in [12], and the AdS4-to-AdS4 case was previously suggested in [13], based in part on [14].”
Holographic striped phases (2011, background): “1) that we consider below arise in a sector of the D = 4 theory of [15].”
Quantum criticality and holographic superconductors in M-theory (2009, methodology): “This provides a consistent KK truncation of D = 11 supergravity in the sense that if one finds a solution to the equations of motion for the D = 4 metric g and matter fields U, V,A1, B1, B2, h, χ, as given in [7], then one has found a solution to the D = 11 supergravity equations of motion.”
Landscape of superconducting membranes (2009, background): “4, that this mode is part of a long multiplet [50], so its dimension is not protected.”
Holography for Schrödinger backgrounds (2010, background): “Further discussions of embeddings of Schrödinger solutions into string theory may be found in [25, 26, 27, 28, 29, 30, 31].”
The gravity dual of supersymmetric gauge theories on a squashed three-sphere (2011, background): “As shown in [33, 34], any such solution to d = 4, N = 2 gauged supergravity uplifts to a supersymmetric solution of eleven-dimensional supergravity.”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, result): “With a trivial scalar � = const and ˜�ν = η�ν , this is the AdS4 × X 7 solution (see e.g. [ 82 ] for the normalization).”