2007/02/28 by D. E. Díaz, Danilo E. Díaz, Harald Dorn · 7 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Combinatorics #Computation #Conformal anomaly #Conformal field theory #Conformal map #Duality (order theory) #Mathematical analysis #Mathematical physics #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #TRACE (psycholinguistics) #hep-th #math.DG
paper · pdf · doi:10.1088/1126-6708/2007/05/046
published as JHEP 0705:046,2007 · 18 pages, uses JHEP3.cls. Published JHEP version
openalex publication_date 2007/05/15 · arxiv created 2008/02/19 · arxiv updated 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the effect of a relevant double-trace deformation on the partition function (and conformal anomaly) of a CFT at large N and its dual picture in AdS. Three complementary previous results are brought into full agreement with each other: bulk and boundary computations, as well as their formal identity. We show the exact equality between the dimensionally regularized partition functions or, equivalently, fluctuational determinants involved. A series of results then follows: (i) equality between the renormalized partition functions for all d; (ii) for all even d, correction to the conformal anomaly; (iii) for even d, the mapping entails a mixing of UV and IR effects on the same side (bulk) of the duality, with no precedent in the leading order computations; and finally, (iv) a subtle relation between overall coefficients, volume renormalization and IR-UV connection. All in all, we get a clean test of the AdS/CFT correspondence beyond the classical SUGRA approximation in the bulk and at subleading O(1) order in the large-N expansion on the boundary.