On KKLT/CFT and LVS/CFT dualities

Senarath de Alwis, Rajesh Kumar Gupta, Fernando Quevedo, Roberto Valandro

Research output: Contribution to journalArticlepeer-review


Abstract: We present a general discussion of the properties of three dimensional CFT duals to the AdS string theory vacua coming from type IIB Calabi-Yau flux compactifi-cations. Both KKLT and Large Volume Scenario (LVS) minima are considered. In both cases we identify the large ‘central charge’, find a separation of scales between the radius of AdS and the size of the extra dimensions and show that the dual CFT has only a limited number of operators with small conformal dimension. Differences between the two sets of duals are identified. Besides a different amount of supersymmetry (N=1$$ \mathcal{N}=1 $$ for KKLT and N=0$$ \mathcal{N}=0 $$ for LVS) we find that the LVS CFT dual has only one scalar operator with O(1) conformal dimension, corresponding to the volume modulus, whereas in KKLT the whole set of h1,1 Kähler moduli have this property. Also, the maximal number of degrees of freedom is estimated to be larger in LVS than in KKLT duals. In both cases we explic-itly compute the coefficient of the logarithmic contribution to the one-loop vacuum energy which should be invariant under duality and therefore provides a non-trivial prediction for the dual CFT. This coefficient takes a particularly simple form in the KKLT case.

Original languageEnglish (US)
Article number36
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 23 2015


  • AdS-CFT Correspondence
  • Flux compactifications
  • Gauge-gravity correspon-dence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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