PP-waves from rotating and continuously distributed D3-branes

Abstract

We study families of PP-wave solutions of type-IIB supergravity that have (light-cone) time dependent metrics and RR five-form fluxes. They arise as Penrose limits of supergravity solutions that correspond to rotating or continuous distributions of D3-branes. In general, the solutions preserve sixteen supersymmetries. On the dual field theory side these backgrounds describe the BMN limit of N = 4 SYM when some scalars in the field theory have non-vanishing expectation values. We study the perturbative string spectrum and in several cases we are able to determine it exactly for the bosons as well as for the fermions. We find that there are special states for particular values of the light-cone constant P + .

The exact description of NS5-branes in the Penrose limit

“…We also note the absence of the zero mode corresponding to n = 0. The phenomenon of the quantization of the light-cone parameter P in the present context was found before in plane waves constructed from continuously distributed D3-branes [50]. Clearly, restricting to the finite interval τ ∈ (0, π/P ) is related to the fact the singularities of the metric in (3.18), where the light-cone gauge breaks down.…”

“…On the supergravity side the centers of the D3-branes are distributed in the six-dimensional transverse to the branes space, according to the the distribution of vev's on the gauge theory side, resulting into a deformation of the AdS 5 × S 5 space. A particular such case was considered in [50], where plane wave solutions were obtained via Penrose limits on the solution representing D3-branes uniformly distributed on a disc. In this case it was possible to obtain, in the limit of very large vev's, the perturbative string spectra in the light-cone gauge.…”

Classical and quantum analysis of 3D electromagnetic pp-wave spacetime

“…This looks like an apparent discrepancy. The supplementary constraint equation (22) seems to impose extra restriction on the integration constants involved in the solutions (19), (20). A possible way out would be, to treat n as a non-dynamical degree of freedom but rather as an t-dependent 1/"mass term and therefore not perform a variation of the Lagrangian with respect to it.…”

Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons

“…PP-wave limits of marginally-deformed backgrounds were first considered in [25] and in [3], with the former construction starting from the gauge-theory side of the correspondence, while further aspects of such solutions were examined in [26]. Here, we further generalize these constructions to include the effects of σ-deformations and of turning on rotation parameters by following [27] where PP-wave solutions based on the solutions of subsection 3.1 were constructed and further analyzed.…”