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- Title
Holographic R-symmetric flows and the <i>τ</i><sub>U</sub> conjecture.
- Authors
Bertolini, Matteo; Di Pietro, Lorenzo; Porri, Flavio
- Abstract
We discuss the holographic counterpart of a recent conjecture regarding R-symmetric RG flows in four-dimensional supersymmetric field theories. In such theories, a quantity τ U can be defined at the fixed points which was conjectured in [1] to be larger in the UV than in the IR, $ \tau_U^{\mathrm{UV}}>\tau_U^{\mathrm{IR}} $ . We analyze this conjecture from a dual supergravity perspective: using some general properties of domain wall solutions dual to R-symmetric RG flows, we define a bulk quantity which interpolates between the correct τU at the UV and IR fixed points, and study its monotonicity properties in a class of examples. We find a monotonic behavior for theories flowing to an interacting IR fixed point. For gapped theories, the monotonicity is still valid up to a finite value of the radial coordinate where the function vanishes, reflecting the gap scale of the field theory.
- Publication
Journal of High Energy Physics, 2013, Vol 2013, Issue 8, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP08(2013)071