Consistent SO(6) Reduction Of Type IIB Supergravity on S 5

By M. Cvetič, Hong Lu, C. Pope, A. Sadrzadeh, T. Tran. 2000

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Type IIB supergravity can be consistently truncated to the metric and the self-dual 5-form. We obtain the complete non-linear Kaluza-Klein S^5 reduction Ansatz for this theory, giving rise to gravity coupled to the fifteen Yang-Mills gauge fields of SO(6) and the twenty scalars of the coset SL(6,R)/SO(6). This provides a consistent embedding of this subsector of N=8, D=5 gauged supergravity in type IIB in D=10. We demonstrate that the self-duality of the 5-form plays a crucial role in the consistency of the reduction. We also discuss certain necessary conditions for a theory of gravity and an antisymmetric tensor in an arbitrary dimension D to admit a consistent sphere reduction, keeping all the massless fields. We find that it is only possible for D=11, with a 4-form field, and D=10, with a 5-form. Furthermore, in D=11 the full bosonic structure of eleven-dimensional supergravity is required, while in D=10 the 5-form must be self-dual. It is remarkable that just from the consistency requirement alone one would discover D=11 and type IIB supergravities, and that D=11 is an upper bound on the dimension.

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

View Paper: https://www.semanticscholar.org/paper/90089c32778fa071b5a87a27542cfa2820a2674e

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Citations in the corpus

N=2 supersymmetric RG flows and the IIB dilaton (2000, background): “ and scalar ﬁelds of the low-dimensional theory. The consistent truncations has been carried out in full detail for the reduction of the eleven dimensional supergravity to four dimensions (see, e.g., [27,18,28] and the references therein) and to seven dimensions [29,30]. The consistent truncation of”
How higher-spin gravity surpasses the spin-two barrier (2010, background): “As for consistent truncations of higher-spin gravity down to possibly matter-coupled (super)gravities, a look at the state-of-affairs in gauged supergravities arising from sphere reductions [161, 162, 163] suggests that one should conjecture their existence in the case of maximal supersymmetry.”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “4) match the standard scalar field ansatz for sphere consistent truncations [10, 35, 11, 34].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “For these special cases, it is expected or known that there are more general consistent truncations to the maximal gauged supergravities in five dimensions (for various partial results see [8][9][10][11]) and four dimensions [12], respectively.”
Kaluza-Klein Holography (2006, methodology): “The solution we discuss can be reduced to five dimensions using a “consistent truncation ansatz” (see [34, 36]).”
Black Holes in Higher Dimensions (2008, background): “It is believed that the d = 10 type IIB supergravity theory can be consistently reduced on S(5) to give d = 5, N = 4, SO(6) gauged supergravity, although this has been established only for a subsector of the full theory [62].”
Consistent Kaluza-Klein sphere reductions (2000, background): “(30) The choice of sign governs whether we are retaining the gauge fields of SU(2)L or of SU(2)R in the truncation of SO(4) ∼ SU(2)L × SU(2)R.”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “Other consistent sphere reductions have been constructed in [12–14], including the compactification on AdS7 × S4.”
Black holes with scalar hair and asymptotics in N = 8 supergravity (2004, background): “Even though it is not known how to lift a general solution of D = 5, N = 8 supergravity to ten dimensions, this is known for solutions that only involve the metric and scalars that saturate the BF bound [30].”
Gauged supergravity from type IIB string theory on Yp, q manifolds (2006, methodology): “In particular, the reduction to the STU model is given in [22], while reduction to N = 4 in five dimensions was given in [24], and reduction of the metric and self-dual 5-form on S(5) was given in [25].”