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Mathematics Department Técnico Técnico

Iberian Strings Meetings  RSS

19/01/2017, 11:30 — 12:00 — Abreu Faro Amphitheatre
Javier Tarrio, Université Libre de Bruxelles

Holography with a Landau pole

Holography for UV-incomplete gauge theories is important but poorly understood. A paradigmatic example is d=4, N=4 super Yang-Mills coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale $ΛLP$. The dual gravity solution exhibits a UV singularity at a finite proper distance along the holographic direction. Despite this, holographic renormalization can be fully implemented via analytic continuation to an AdS solution. The presence of a UV cut-off manifests itself in several interesting ways. At energies $E \ll ΛLP$ no pathologies appear, as expected from effective field theory. In contrast, at scales $E \lesssim ΛLP$ the gravitational potential becomes repulsive, and at temperatures $T \lesssim ΛLP$ the specific heat becomes negative.

See also

Tarrio.pdf