Fractional branes and dynamical supersymmetry breaking

By S. Franco, A. Hanany, Fouad Saad, A. Uranga. 2005

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We study the dynamics of fractional branes at toric singularities, including cones over del Pezzo surfaces and the recently constructed Y p,q theories. We find that generically the field theories on such fractional branes show dynamical supersymmetry breaking, due to the appearance of non-perturbative superpotentials. In special cases, one recovers the known cases of supersymmetric infrared behaviors, associated to SYM confinement (mapped to complex deformations of the dual geometries, in the gauge/string correspondence sense) or N = 2 fractional branes. In the supersymmetry breaking cases, when the dynamics of closed string moduli at the singularity is included, the theories show a runaway behavior (involving moduli such as FI terms or equivalently dibaryonic operators), rather than stable non-supersymmetric minima. We comment on the implications of this gauge theory behavior for the infrared smoothing of the dual warped throat solutions with 3-form fluxes, describing duality cascades ending in such field theories. We finally provide a description of the different fractional branes in the recently introduced brane tiling configurations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84388aca8c51daf4b9348850e434fec8b9e2fd66

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Citations in the corpus

Gauge theories from toric geometry and brane tilings (2005, unknown): “These theories have subsequently been analysed in considerable detail [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 , 25, 26].”
From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, background): “This implies (see [43, 21, 44] for recent discussions) that there are toric complex structure deformations of these models, as is the case of the conifold [42], which is also L(1,1|1).”
Dynamical SUSY breaking at meta-stable minima from D-branes at obstructed geometries (2006, background): “These features are present in general quiver gauge theories of fractional branes at obstructed geometries, namely DSB fractional branes (in fact, it is easy to identify these features in all the examples of DSB fractional branes in [22]).”
Dimer models from mirror symmetry and quivering amoebae (2005, background): “rstood for a while [1, 2, 3, 4, 5, 6,7, 8]. More recently it was shown thatdimer models onT2 encode the full dataofthe quiver gauge theory [9, 10]. This simple picture led to a number of new insights [11, 12, 13, 14, 15]. However, a direct explanation of the relevance of the dimer models as systems ”
Inflation and String Theory (2014, background): “Some of the resulting gauge theories have metastable vacua in which supersymmetry is dynamically broken [370–376], while in other cases, such as [377–379], there are runaway instabilities in directions parameterized by Kähler moduli [378, 380, 381].”
The Dual superconformal theory for L**pqr manifolds (2005, background): “examples (reference [ 19 ] contains the discussion of several different class of singularities), whenever the geometry forbids the existence of a deformation the gauge theory has a runaway potential.”
Supersymmetry Breaking from a Calabi-Yau Singularity (2005, result): “Note Added After this work was completed, we became aware of the closely related papers [ 36 , 37] which reach similar conclusions.”
Stringy instantons and quiver gauge theories (2006, background): “September 2006”