## Abstract

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 h^{1,1} 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 language | English (US) |
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Article number | 36 |

Journal | Journal of High Energy Physics |

Volume | 2015 |

Issue number | 7 |

DOIs | |

State | Published - Jul 23 2015 |

## Keywords

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

## ASJC Scopus subject areas

- Nuclear and High Energy Physics