Logarithmic Operators in AdS_3/CFT_2

Abstract

We discuss the relation between singletons in AdS_3 and logarithmic operators in the CFT on the boundary. In 2 dimensions there can be more logarithmic operators apart from those which correspond to singletons in AdS, because logarithmic operators can occur when the dimensions of primary fields differ by an integer instead of being equal. These operators may be needed to account for the greybody factor for gauge bosons in the bulk.

8 pages, Latex. Minor changes, references added

References in corpus (4)

• On the logarithmic behaviour in N=4 SYM theory
• Singletons and Logarithmic CFT in ADS/CFT correspondence
• Gauge bosons and the AdS_3/LCFT_2 correspondence
• On direct and crossed channel asymptotics of four-point functions in AdS/CFT correspondence

Cited by in corpus (21)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Instability in cosmological topologically massive gravity at the chiral point
• Chiral Gravity, Log Gravity and Extremal CFT
• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Holographic applications of logarithmic conformal field theories
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Boundary states in boundary logarithmic CFT
• Logarithmic conformal field theory approach to topologically massive gravity
• Disordered Systems and Logarithmic Conformal Field Theory
• Prelogarithmic operators and Jordan blocks in SL(2)_k affine algebra
• On the AdS/CFT Correspondence and Logarithmic Operator
• Use of Nilpotent weights in Logarithmic Conformal Field Theories
• Gravity duals for logarithmic conformal field theories
• Extended chiral algebras in the SU(2)_0 WZNW model
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model
• Stress Energy tensor in LCFT and the Logarithmic Sugawara construction
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
• Logarithmic operators in SL(2, R) WZNW model, Singletons and AdS_3/(L)CFT_2 correspondence