2008/11/30 by Natalia Borodatchenkova, Michael Haack, Wolfgang Mück +1 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Holography #Invariant (physics) #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Renormalization #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2009.02.018
published in Nuclear Physics B 815(1-2), 215-239 (Elsevier BV) · 33 pages, v2: reference added, small changes
arxiv created 2008/12/12 · openalex publication_date 2009/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A step is made towards generalizing the method of holographic renormalization to backgrounds which are not asymptotically AdS, corresponding to a dual gauge theory which has logarithmically running couplings even in the ultraviolet. A prime example is the background of Klebanov-Strassler (KS). In particular, a recipe is given how to calculate renormalized two-point functions for the operators dual to the bulk scalars. The recipe makes use of gauge-invariant variables for the fluctuations around the background and works for any bulk theory of the fake supergravity type. It elegantly incorporates the renormalization scheme dependence of local terms in the correlators. Before applying the method to the KS theory, it is verified that known results in asymptotically AdS backgrounds are reproduced. Finally, some comments on the calculation of renormalized vacuum expectation values are made.