Gravity dual of metastable dynamical supersymmetry breaking

Abstract

Metastable, supersymmetry-breaking configurations can be created in flux geometries by placing antibranes in warped throats. Via gauge/gravity duality, such configurations should have an interpretation as supersymmetry-breaking states in the dual field theory. In this paper, we perturbatively determine the asymptotic supergravity solutions corresponding to D3-brane probes placed at the tip of the cascading warped deformed conifold geometry, which is dual to an SU(N +M)×SU(N) gauge theory. The backreaction of the antibranes has the effect of introducing imaginary anti-self-dual flux, squashing the compact part of the space and forcing the dilaton to run. Using the generalization of holographic renormalization to cascading geometries, we determine the expectation values of operators in the dual field theory in terms of the asymptotic values of the supergravity fields.

Inflation and String Theory

“…Linearization.-The linearized supergravity solution for p anti-D3-branes smeared around the S 3 has been obtained in [429,430] (for related earlier work see [442,443]), and passes non-trivial consistency checks [428,439]. The characteristic radius of curvature near the source is R p = (4πg s p) 1/4 α 1/2 , so the linearized solution can be trusted at radial distances r R p away from the tip: nearer to the tip it is inconsistent to neglect α corrections, and some of the background fields become singular.…”

“…The anti-D3-brane perturbs the background supergravity solution, and the D3-brane experiences a corresponding force. This is described by the Coulomb potential [41,428,442] 30) where the scale of the potential, D 0 2T 3 , is set by the warped tension of the antibrane…”

Towards an explicit model of large field inflation

“…While we are able to explicitly compute the contribution to the slow roll potential due to Kähler moduli backreaction, we only consider the leading UV effect of the backreacted antibranes. An explicit calculation of backreaction involving the supersymmetry breaking effects of the antibranes remains beyond the scope of this work, however the backreaction of anti-D3 branes in the KS geometry is extremely well-studied [14][15][16][17][18][19], making future efforts to compute these higher order backreaction particularly tractable. Further, we estimate the effects of supersymmetry breaking backreaction and argue that it is tunably small in the UV.…”

“…This asymptotic charge matching takes into account the presence of the probe antibranes as they lower the net D3 charge responsible for the depth of the throat. The resulting deformation parameter is [14]:…”

Unstoppable brane-flux decay of D 6 ¯ $$ \overline{\mathrm{D}6} $$ branes

“…The question then is whether this type of supersymmetry breaking can be metastable. If so, then it would be of great practical use in constructing string models for dS vacua [2], inflation [3], near-extremal black hole micro-states [4,5] and holographic duals to dynamical supersymmetry-breaking [1,[6][7][8][9][10][11] (and see [12] for related work).…”