In gravitational Higgs mechanism graviton components acquire mass in the process of spontaneous breaking of diffeomorphisms (via scalar vacuum expectation values). Recently, gravitational Higgs mechanism was discussed in the context of obtaining massive gravity directly in four dimensions. We discuss a setup, with all diffeomorphisms spontaneously broken by scalars, where gravitational Higgs me...

We present a systematic expansion of all constraint equations in canonical quantum gravity up to the order of the inverse Planck mass squared. It is demonstrated that this method generates the conventional Feynman diagrammatic technique involving graviton loops and vertices. It also reveals explicitly the back reaction effects of quantized matter and graviton vacuum polarization. This provides ...

Massive gravity previously constructed as the spin-2 quantum gauge theory is studied in the classical limit. The vector graviton field v which does not decouple in the limit of vanishing graviton mass gives rise to a modification of general relativity. The modified Schwarzschild solution contains a contribution from the v-field which can be interpreted as the dark matter mass density. ∗e-mail: ...

We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian effective action for these gravitational waves with dielectric couplings and show that stable dielectric solutions exist. These solutions agree in the large...

We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group. We find that at general values of mass parameters the massive graviton has six propagating degrees of freedom, and some of them are ghosts or lead to rapid classical instabilities. However, there is a number of different regions in the mass parameter space where massive gr...

The contribution of virtual s-channel Kaluza-Klein (KK) gravitons to high energy scattering of the SM fields in the Randall-Sundrum (RS) model with two branes is studied. The small curvature option of the RS model is considered in which the KK gravitons are narrow low-mass spin-2 resonances. The analytical tree-level expression for a process-independent gravity part of the scattering amplitude ...

In a spacetime of dimension n , the dual graviton is characterised by a Young diagram with two columns, the first of length n−3 and the second of length one. In this paper we perform the off-shell dualisation relating the dual graviton to the double-dual graviton, displaying the precise off-shell field content and gauge invariances. We then show that one can further perform infinitely many off-...

The Randall-Sundrum model is one of several extra-dimensional theories giving rise to a spectrum of massive graviton states. It is the nature of this particular model that the graviton states are well separated in mass, allowing for their detection in collider experiments such as the Large Hadron Collider (LHC) as resonances. This paper considers the possibility of detecting the graviton in the...

We perform a one-loop test of the holographic interpretation of the KarchRandall model, whereby a massive graviton appears on an AdS4 brane in an AdS5 bulk. Within the AdS/CFT framework, we examine the quantum corrections to the graviton propagator on the brane, and demonstrate that they induce a graviton mass in exact agreement with the Karch-Randall result. Interestingly enough, at one loop o...

In this note we present several ideas toward the solution to the giant graviton puzzle – the apparent multiplicity of supergravity states dual to field theory chiral primary operators. We use the fact that, for certain ranges of the angular momentum, giant gravitons can be mapped into vacua of a dual theory to argue that the sphere and AdS giant gravitons have very different boundary descriptio...