Gauge/gravity Duality and MetastableDynamical Supersymmetry Breaking Page: 4 of 45
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of false vacuum decay, to the supersymmetric vacua of the SU(N + M - p) x SU(N - p)
theory [13]. This, together with the fact that the boundary conditions at infinity in the
gravity dual are the same for the supersymmetric and non-supersymmetric states (in contrast
to the situation described in [24]), indicates that these are best thought of as dynamical
supersymmetry breaking states in the SU(N + M - p) x SU(N - p) gauge theory at large 't
Hooft coupling. These states have played an important role in the KKLT construction [8],
and in some models of inflation in string theory [25, 26]. More importantly for our purpose,
it is obvious that the same analysis would yield meta-stable KPV-like states in many other
confining gauge theories with smooth gravity duals.
In an a priori un-related development, it was recently found in the elegant paper of
Intriligator, Seiberg and Shih [27] (ISS) that even the simplest non-chiral gauge theories
can exhibit meta-stable vacua with DSB. A straightforward application of Seiberg duality to
supersymmetric SU(Nc) QCD with Nf slightly massive quark flavors of mass m AQCD,
in the range Nc < Nf < ZN,, yields a dual magnetic theory which breaks supersymmetry
at tree-level. The supersymmetry breaking vacuum is a miracle from the perspective of the
electric description, occurring in the strong-coupling regime of small field VEVs where only
the Seiberg dual description allows one to analyze the dynamics. And again, as will be
important for us, the analysis of the original paper can be extended to provide many other
examples.'
On closer inspection, there are several qualitative similarities between the KPV states
(which were found using gauge/gravity duality) and the ISS states (which were found using
Seiberg duality). In both examples, the supersymmetry breaking state is related to the
existence of a baryonic branch; in both examples, it is a meta-stable state in a non-chiral
gauge theory; and in both examples, there is an intricate moduli space of Goldstone modes
(geometrized in the KPV case as the translation modes of the anti-D3s at the end of the
Klebanov-Strassler throat). It is natural to wonder - is there some direct relation between
these two classes of meta-stable states?2
In this paper, we propose that at least in some cases, the answer is yes. We analyze the
gauge theory on D-branes at a certain simple singularity (obtained from a L2 quotient of
the conifold). We find that this non-chiral gauge theory admits both supersymmetric and
supersymmetry breaking vacua - the non-supersymmetric vacua being found by a simple
generalization of ISS. At large 't Hooft coupling, our system has a simple dual gravitational
1Some references which are in some respect relevant to our work are [28, 29, 30, 31].
2This question has been raised by the present authors, H. Ooguri, N. Seiberg, H. Verlinde and many
others.3
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Argurio, Riccardo; Bertolini, Matteo; Franco, Sebastian & Kachru, Shamit. Gauge/gravity Duality and MetastableDynamical Supersymmetry Breaking, article, October 24, 2006; [Menlo Park, California]. (https://digital.library.unt.edu/ark:/67531/metadc878263/m1/4/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.