Recently a correspondence between non-propagating degrees of freedom in maximal supergravity and the very extended algebra E11 has been found. We perform a similar analysis for a supergravity theory with eight supercharges and very extended G2. In particular, in the context of d = 5 minimal supergravity, we study whether supersymmetry can be realised on higher-rank tensors with no propagating d...

We discuss membranes in four-dimensionalN = 1 superspace. The κ-invariance of the GreenSchwarz action implies that there is a dual version of N = 1 supergravity with a three-form potential. We formulate this new supergravity in terms of a three-form superfield in curved superspace, giving the relevant constraints on the field strength. We find the corresponding membrane soliton in the new super...

In this doctoral thesis we study zero-mode spectra of Matrix theory and eleven-dimensional supergravity on the plane-wave background. This background is obtained via the Penrose limit of AdS4 × S7 and AdS7 × S4. The plane-wave background is a maximally supersymmetric spacetime supported by non-vanishing constant four-form flux in eleven-dimensional spacetime. First, we discuss the Matrix theory...

We reinterpret the Scherk-Schwarz (SS) boundary condition for SU(2)R in a compactified five-dimensional (5D) Poincaré supergravity in terms of the twisted SU(2)U gauge fixing in 5D conformal supergravity. In such translation, only the compensator hypermultiplet is relevant to the SS twist, and various properties of the SS mechanism can be easily understood. Especially we show the equivalence be...

We construct part of the superspace vielbein and tensor gauge field in terms of the component fields of 11-dimensional on-shell supergravity. The result can be utilized to describe supermembranes and corresponding matrix models for Dirichlet particles in nontrivial supergravity backgrounds to second order in anticommuting coordinates. We exhibit the κ-invariance of the corresponding supermembra...

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise antisymmetric tensor field without gauge degrees freedom. In particular, the relation to new minimal supergravity, a supercovariant calculus and construction invariant actions including matter are discussed.

These notes present an introduction to branes in ten and eleven dimensional supergravity and string/M-theory which is geared to an audience of traditional relativists, especially graduate students and others with little background in supergravity. They are designed as a tutorial and not as a thorough review of the subject; as a result, many topics of current interest are not addressed. However,...

The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the N = 1 SU(N +M) × SU(N) supersymmetric gauge theory with two flavors of matter fields in the bifundamental representation of gauge group and type IIB superstring in the space-time background furnished by the Klebanov-Str...

We construct consistent brane-world Kaluza-Klein reductions involving the radion mode that measures the separation of the domain-wall branes. In these new examples, we can obtain matter supermultiplets coupled to supergravity on the brane, starting from pure gauged supergravity in the higher dimension. This contrasts with previously-known examples of consistent brane-world reductions involving ...

We study the relation between the effective Lagrangian in Matrix Theory and eleven dimensional supergravity. In particular, we provide a relationship between supergravity operators and the corresponding terms in the post-Newtonian approximation of Matrix Theory.