Classifying possible RG flows between quantum field theories is an important open problem. Progress has been made by constructing c-functions (functions of coupling constants) that decrease monotonically along RG flows proving for example their irreversibility. In three-dimensional QFTs, the free-energy of the theory on a 3-sphere is proposed to be such a function and is hence called an F-function. In this talk, which is based on ongoing work, I use a recently proposed holographic method to construct F-functions from free-energy in ABJM theory coupled to massive flavor on a 3-sphere. The theory is holographically dual to Type IIA supergravity with dynamical D6-branes in ten dimensions. I describe the dynamics of D6-branes in the probe limit, compute their free-energy and argue that the corresponding F-functions are monotonic in this top-down setup.**Tuesday 3 November 2020 at 10.15 with Zoom: Jani Kastikainen (Helsinki)**

Holographic F-functions in ABJM theory with flavor on the 3-sphere

Abstract:

*Hopefully the up to 50 min + 10 min discussion long seminar/colloquium will be understandable to a wide audience.Contacts: Keijo Kajantie (keijo kajantie at helsinki fi) [ HIP seminar],Sami Raatikainen (sami raatikainen at helsinki fi) [cosmo seminar]*

New Nordic series of seminars over the web, link: https://sites.google.com/view/nordictheory/home

For more information, and to subscribe to email announcements, contact Oscar Henriksson (oscar henriksson at helsinki fi)

**Other related seminars**

*Friday 10-12 seminar series in A315:Astrophysics seminar.Mathematical Physics Seminar and Workshop series Wed 14-16 in Exactum C123.*

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