Gauge bosons and the AdS_3/LCFT_2 correspondence

Abstract

We study the relationship between the gauge boson coupled to spin 2 operator and the singleton in three-dimensional anti-de Sitter space(AdS${}_3$). The singleton can be expressed in terms of a pair of dipole ghost fields $A$ and $B$ which couple to $D$ and $C$ operators on the boundary of AdS${}_3$. These operators form the logarithmic conformal field theory(LCFT${}_2$). Using the correlation function for logarithmic pair, we calculate the greybody factor for the singleton. In the low temperature limit of $\omega \gg T_{\pm }$, this is compared with the result of the bulk AdS${}_3$ calculation of the gauge boson. We find that the gauge boson cannot be realized as a model of the AdS${}_3$/LCFT${}_2$ correspondence.

9 pages, no figures, previous version should be replaced with this, the result was reversed

Cited by in corpus (34)

• Instability in cosmological topologically massive gravity at the chiral point
• Chiral Gravity, Log Gravity and Extremal CFT
• Logarithmic Conformal Field Theories via Logarithmic Deformations
• 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 Operators in AdS_3/CFT_2
• Logarithmic conformal field theory approach to topologically massive gravity
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• Logarithmic operators in the SL(2,R) WZNW model
• On the AdS/CFT Correspondence and Logarithmic Operator
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• Gravity duals for logarithmic conformal field theories
• A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View
• Topologically massive gravity on AdS${}_2$ spacetimes
• Logarithmic Conformal Field Theories and Strings in Changing Backgrounds
• Extended chiral algebras in the SU(2)_0 WZNW model
• Aging Logarithmic Conformal Field Theory : a holographic view
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Extended multiplet structure in Logarithmic Conformal Field Theories
• Quantization of n coupled scalar field theory
• Dynamical Behavior of dilaton in de Sitter space
• Critical gravity on AdS2 spacetimes
• Rank-3 finite temperature logarithmic conformal field theory
• Aging Logarithmic Galilean Field Theories
• BRST quantization of a sixth-order derivative scalar field theory
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
• Cosmological singleton gravity theory and dS/LCFT correspondence
• Logarithmic operators in SL(2, R) WZNW model, Singletons and AdS_3/(L)CFT_2 correspondence
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence
• Einstein-singleton theory and its power spectra in de Sitter inflation