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arXiv · 1306.1981

On the Stability of D7 - anti-D7 Probes in Near-conformal Backgrounds

Lilia Anguelova·Peter Suranyi·L. C. Rohana Wijewardhana
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Abstract

We investigate the perturbative stability of a nonsupersymmetric D7 - anti-D7 brane embedding in a particular class of type IIB backgrounds. These backgrounds are the gravitational duals of certain strongly-coupled gauge theories, that exhibit a nearly conformal regime (known as a walking regime). Previous studies in the literature have led to conflicting results as to whether the spectrum of fluctuations around the flavor D7 - anti-D7 embedding has a tachyonic mode or not. Here we reconsider the problem with a new analytical method and recover the previously obtained numerical results. We also point out that the earlier treatments relied on a coordinate system, in which it was not possible to take into account fluctuations of the point of confluence of the D7 - anti-D7 branes. Using an improved coordinate system, we confirm the presence of a normalizable tachyonic mode in this model, in agreement with the numerical calculations. Finally, we comment on the possibility of turning on worldvolume flux to stabilize the probe branes configuration.

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Lilia Anguelova, Peter Suranyi, L. C. Rohana Wijewardhana. 2014-02-10. On the Stability of D7 - anti-D7 Probes in Near-conformal Backgrounds. https://doi.org/10.1016/j.nuclphysb.2014.02.010

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