REVIEW 4 cited by
Consistent Kaluza-Klein Sphere Reductions
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We study the circumstances under which a Kaluza-Klein reduction on an n-sphere, with a massless truncation that includes all the Yang-Mills fields of SO(n+1), can be consistent at the full non-linear level. We take as the starting point a theory comprising a p-form field strength and (possibly) a dilaton, coupled to gravity in the higher dimension D. We show that aside from the previously-studied cases with (D,p)=(11,4) and (10,5) (associated with the S^4 and S^7 reductions of D=11 supergravity, and the S^5 reduction of type IIB supergravity), the only other possibilities that allow consistent reductions are for p=2, reduced on S^2, and for p=3, reduced on S^3 or S^{D-3}. We construct the fully non-linear Kaluza-Klein Ansatze in all these cases. In particular, we obtain D=3, N=8, SO(8) and D=7, N=2, SO(4) gauged supergravities from S^7 and S^3 reductions of N=1 supergravity in D=10.
Forward citations
Cited by 4 Pith papers
-
Non-conformal branes wrapped on a disk
Disk solutions from non-conformal Dp/NS5-brane spindles are classified by charge sectors; compact disks mostly show monopoles and smeared branes, while non-compact disks mostly do not.
-
Instanton Moduli, Topology and the Bosonic/Heterotic String Origins
New BPS NS(-1)-branes in N=1, D=4 supergravity are supported by SU(2)xSU(2) instantons; the string-frame topology changes with instanton moduli while the 3-form charge stays fixed.
-
The Special Locus
The special locus is equivalent to vanishing twisted gauge fields in 3D and to the 6D identity B2 = 1/4 B1, which trivializes one anti-self-dual tensor multiplet.
-
Hodge Duals in Spherical Compactifications
The paper obtains a closed-form expression for the constrained Hodge dual of a p-form under the spherical constraint x_i x_i = 1, which reduces to the standard hypersurface Hodge star with unit normal.
Discussion (0). Sign in to comment.