The 1.5 formalism played a key role in the discovery of supergravity and it has been used to prove invariance essentially all theories under local supersymmetry. It emerged from gauging super Poincaré group find supergravity. We review both these developments as well auxiliary fields for simple its most general coupling matter using tensor calculus.

We present some multiplets of N = 2 off-shell supergravity in five dimensions. One is the Super Yang-Mills multiplet, another one is the linear multiplet. The latter one is used to establish a general action formula from which we derive an action for the Super Yang-Mills multiplet. The Super Yang-Mills multiplet is used to construct the nonlinear multiplet with gauged SU(2). This nonlinear mult...

We review the calculation of the spectrum of glueball masses in non-supersymmetric Yang-Mills theory using the conjectured duality between supergravity and large N gauge theories. The glueball masses are obtained by solving the supergravity wave equations in a black hole geometry. The glueball masses found this way are in unexpected agreement with the available lattice data. We also show how to...

A geometric treatment of T–duality as an operation which acts on differential forms in superspace allows us to derive the complete set of T-duality transformation rules which relate the superfield potentials of D = 10 type IIB supergravity with those of type IIA supergravity including Ramond–Ramond superfield potentials (C M1...M2n(Z) resp. Ĉ (2n+1) M1...M2n+1 (Ẑ)) and fermionic supervielbeins ...

We study supersymmetric intersections of NS5-, D6and D8-branes in type IIA string theory. We focus on the supergravity description of this system and identify a “near horizon” limit in which we recover the recently classified supersymmetric seven-dimensional AdS solutions of massive type IIA supergravity. Using a consistent truncation to sevendimensional gauged supergravity we construct a unive...

We analyze N = 2, 1, 0 vacua of type IIB string theory on K3 × T /Z2 in presence of three-form fluxes from a four dimensional supergravity viewpoint. The quaternionic geometry of the K3 moduli space together with the special geometry of the NS and R-R dilatons and of the T2-complex structure moduli play a crucial role in the analysis. The introduction of fluxes corresponds to a particular gaugi...

We derive and analyse the full set of equations of motion for non-extreme static black holes (including examples with the spatial curvatures k = −1 and k = 0) in D=5 N=2 gauged supergravity by employing the techniques of “very special geometry”. These solutions turn out to differ from those in the ungauged supergravity only in the non-extremality function, which has an additional term (proporti...

Heterotic supergravity with (1+3)–dimensional domain wall configurations and (warped) internal, six dimensional, almost-Kähler manifolds X are studied. Considering on ten dimensional spacetime, nonholonomic distributions with conventional double fibrations, 2+2+...=2+2+3+3, and associated SU(3) structures on internal space, we generalize for real, internal, almost symplectic gravitational struc...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present the details of the recently constructed E 6ð6Þ-covariant extension of 11-dimensional supergravity. This ...

Prompted by recent progress in the study of N = 4 super Yang-Mills amplitudes, and evidence that similar approaches are relevant to N = 8 supergravity, we investigate possible iterative structures and applications of Wilson loop techniques in maximal supergravity. We first consider the two-loop, four-point MHV scattering amplitude in N = 8 supergravity, confirming that the infrared divergent pa...