Supersymmetry Breaking from a Calabi-Yau Singularity

By D. Berenstein, P. Ouyang, S. Pinansky, Christopher P. Herzog. 2005

135 citations recorded by the source corpus.

We conjecture a geometric criterion for determining whether supersymmetry is spontaneously broken in certain string backgrounds. These backgrounds contain wrapped branes at Calabi-Yau singularites with obstructions to deformation of the complex structure. We motivate our conjecture with a particular example: the Y2,1 quiver gauge theory corresponding to a cone over the first del Pezzo surface, dP1. This setup can be analyzed using ordinary supersymmetric field theory methods, where we find that gaugino condensation drives a deformation of the chiral ring which has no solutions. We expect this breaking to be a general feature of any theory of branes at a singularity with a smaller number of possible deformations than independent anomaly-free fractional branes.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3391c7257da04ab312dc5d40da74158b887aba4d

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In Nuclear and High Energy Physics

Citations in the corpus

Stringy instantons and quiver gauge theories (2006, background): “September 2006”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “Some discussion illustrating these points in the physics literature can be found in [63,64].”
Gauge theories from toric geometry and brane tilings (2005, background): “There has also been progress on the non-conformal extensions of these theories (and others) both from the supergravity [14, 22] and gauge theory sides [20, 21, 23, 24, 26, 27].”
On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, methodology): “The spectrum of the scalar Laplacian on Y , as well as the eigenfunctions YL(Ψ), were calculated in [51, 52].”
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).”