Analytic non-supersymmtric background dual of a confining gauge theory and the corresponding plane wave theory of Hadrons

Abstract

We find a regular analytic 1st order deformation of the Klebanov-Strassler background. From the dual gauge theory point of view the deformation describes supersymmetry soft breaking gaugino mass terms. We calculate the difference in vacuum energies between the supersymmetric and the non-supersymmetric solutions and find that it matches the field theory prediction. We also discuss the breaking of the U (1) R symmetry and the space-time dependence of the gaugino bilinears two point function. Finally, we determine the Penrose limit of the non-supersymmetric background and write down the corresponding plane wave string theory. This string describes "annulons"-heavy hadrons with mass proportional to large global charge. Surprisingly the string spectrum has two fermionic zero modes. This implies that the sector in the non-supersymmetric gauge theory which is the dual of the annulons is supersymmetric.

Giant tachyons in the landscape

“…Since the solution was not glued to the UV Klebanov-Strassler asymptotic solution, two integration constants for the flux functions, called b f and b k , were not fixed. In principle these two parameters are not independent and the precise relation between them could be determined in the UV by gluing to the KS solution or to one of its non-normalizable deformations [38,39]. However, as we will see below, the physics is completely independent of the details of the UV.…”

Gravity dual and CERN LHC study of single-sector supersymmetry breaking

“…In order to break supersymmetry we will consider an effective 5D model that is motivated from a 10D type IIB supergravity solution [19], obtained by perturbing the well-known Klebanov-Strassler supersymmetric background [16], using techniques developed in [18]. In Appendix D, we describe in detail how the effective deformed nonsupersymmetric 5D background metric is obtained from a dimensional reduction of the 10D metric.…”

“…In fact there exist deformations of the Klebanov-Strassler background that softly break all of the supersymmetry in the infrared (IR) of the 4D theory [18,19]. It will be shown that when the ten-dimensional (10D) supergravity theory is reduced to five dimensions, the background geometry is a deformation of AdS 5 , with the modification growing stronger as one moves further into the AdS throat-corresponding to SUSY-breaking near the "IR brane" of phenomenological models.…”

“…It will be shown that when the ten-dimensional (10D) supergravity theory is reduced to five dimensions, the background geometry is a deformation of AdS 5 , with the modification growing stronger as one moves further into the AdS throat-corresponding to SUSY-breaking near the "IR brane" of phenomenological models. Consequently we will use the non-SUSY background of [19] as a starting point to construct a string-inspired model with realistic phenomenology. As in the Randall-Sundrum model [11] we will introduce both a "UV brane" and an "IR brane", and then consider bulk fields [20] by embedding the MSSM into a slice of the deformed AdS 5 , with all but the Higgs fields propagating in the bulk.…”

“…We compare to rates in conventional GMSB, and illustrate how simple cuts allow for the removal of virtually all Standard Model (SM) background. Finally, in the Appendices we present details of bulk scalar fields, fermions and Yukawa interactions in the deformed warped geometry as well as show how our 5D model is inspired from the 10D type IIB supergravity solution of [19].…”