Localized intersections of M5-branes and four-dimensional superconformal field theories

Abstract

We write supersymmetry preserving conditions for infinite M5-branes intersecting on a (3+1)-dimensional space. In contrast to previously known solutions, these intersections are completely localized. We solve the equations for a particular class of configurations which in the near-horizon decoupling limit are dual to N f = 2N c SeibergWitten superconformal field theories with gauge group SU(N ) and generalisations to SU(N ) n . We also discuss the relationship to D3-branes in the presence of an A k singularity.BRX TH-452 HUB-EP-99/11 hep-th/9902210 *

On the non-existence of totally localised intersections of D3/D5 branes in type IIB SUGRA

“…The precise fraction has to be found for each case and we will do this for ours in the next section, but we will describe the way it will be useful to us in the following paragraphs along the lines of [6].…”

“…If we take the metric to be independent of the common directions, then we will also have 2+1D Poincaré invariance. Nevertheless, the most general metric on the partially perpendicular directions can be expressed using the second and third terms in (6). Now, the projection conditions for the D3 and D5 branes are respectively…”

Linear dilaton background and fully localized intersecting five-branes

“…The overall transverse directions to the M5-branes are x 8 , x 9 , x 10 . The metric is given in [9],…”

“…Some partially and fully localized solutions were constructed by [8,9,10]. The fully localized near-horizon geometry wrapping on the Σ, which is the warped AdS geometry, was found by [11].…”

“…However, we now need some linear dilaton backgrounds rather than the AdS in order to investigate the four dimensional LSTs which are not conformal field theory. In this paper, we search for the near-horizon SUGRA solution of the NS5-brane wrapping on the Σ as a kind of Fayyazuddin-Smith geometry [9]. Especially, we find the solution in the case of highly degenerate Riemann surface, which describes intersecting NS5-branes with four dimensional common worldvolume.…”