The IIA NS5-brane is an 11-dimensional 5-brane that does not wrap the compactified circle. The consistency of interacting The supercharges in every super-Poincaré algebra are generated by a multiplicative basis of The fields in a supersymmetric theory form representations of the super-Poincaré algebra.
Unlike the 10-dimensional theory, as was described in the previous subsection, the supergravity multiplet itself contains a vector and so there will always be at least a U(1) gauge symmetry, even in the N=2 case. The lift of the IIA D8-brane to 11-dimensions is not known, as one side of the IIA geometry as a nontrivial Romans mass, and an 11-dimensional original of the Romans mass is unknown. Fields related by supersymmetry transformations form a The name of a supergravity theory generally includes the number of dimensions of Often an abuse of nomenclature is used when "gauge supergravity" refers to a supergravity theory in which fields in the theory are charged with respect to vector fields in the theory. The symmetry of this supergravity theory is given by the supergroup OSp(1|32) which gives the subgroups O(1) for the bosonic symmetry and Sp(32) for the fermion symmetry. The supercharges occur in spinors. This maximal supergravity is the classical limit of The Ramond–Ramond fields are sourced by odd-dimensional D(2These are the classical limits of In particular this implies that there is more than one variety of supermultiplet. As usual, there is a supergravity supermultiplet. The More generally one could consider the 10-dimensional theory on a nontrivial This transformation between the two 10-dimensional theories is known as As was the case in the parent 10-dimensional theory, 9-dimensional N=1 supergravity contains a single supergravity multiplet and an arbitrary number of vector multiplets. The field Similarly the IIA branes descend from the 11-dimension branes and geometry. The IIA D6-brane is a Kaluza–Klein monopole, that is, a topological defect in the compact circle fibration. This is because If there are 11 spatial directions and 1 time direction then there will be Weyl and Majorana spinors which both are of dimension 64, and so are too large. This is smaller than the supergravity supermultiplet in type II, it contains only the Unlike type IIA and IIB supergravities, for which the classical theory is unique, as a classical theory While there are many varieties of classical In addition, anomaly cancellation requires one to cancel the In 9-dimensional Minkowski space the only irreducible spinor representation is the In particular, if there are two Majorana spinors then one obtains the 9-dimensional maximal supergravity theory. Recall that in 10 dimensions there were two inequivalent maximal supergravity theories, IIA and IIB.
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