Non-supersymmetric infrared perturbations to the warped deformed conifold - High Energy Physics - TheoryReport as inadecuate




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Abstract: We analyze properties of non-supersymmetric isometry-preserving perturbationsto the infrared region of the warped deformed conifold, i.e. the KlebanovStrassler solution. We discuss both perturbations that -squash- the geometry,so that the internal space is no longer conformally Calabi-Yau, andperturbations that do not squash the geometry. Among the perturbations that wediscuss is the solution that describes the linearized near-tip backreaction ofa smeared collection of anti-D3-branes positioned in the deep infrared. Such aconfiguration is a candidate gravity dual of a non-supersymmetric state in alarge-rank cascading gauge theory. Although anti-D3-branes do not directlycouple to the 3-form flux, we argue that, due to the presence of the backgroundimaginary self-dual flux, anti-D3-branes in the Klebanov-Strassler geometrynecessarily produce singular non-imaginary self-dual flux. Moreover, sinceconformally Calabi-Yau geometries cannot be supported by non-imaginaryself-dual flux, the anti-D3-branes squash the geometry as our explicit solutionshows. We also briefly discuss supersymmetry-breaking perturbations at largeradii and the effect of the non-supersymmetric perturbations on the gravitinomass.



Author: Paul McGuirk, Gary Shiu, Yoske Sumitomo

Source: https://arxiv.org/







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