Partition functions and double-trace deformations in AdS/CFT

Danilo E. Díaz, Harald Dorn

Research output: Contribution to journalArticlepeer-review

83 Citations (Scopus)


We study the effect of a relevant double-trace deformation on the partition function (and conformal anomaly) of a CFTd at large N and its dual picture in AdSd+1. Three complementary previous results are brought into full agreement with each other: bulk [1] and boundary [2] computations, as well as their formal identity [3]. We show the exact equality between the dimensionally regularized partition functions or, equivalently, fluctuation 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.

Original languageEnglish
Article number046
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 1 May 2007


  • 1/N expansion
  • AdS-CFT correspondence
  • Anomalies in field and string theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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