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$T\bar{T}$-deformations, AdS/CFT and correlation functions
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abstract
A solvable irrelevant deformation of AdS$_3$/CFT$_2$ correspondence leading to a theory with Hagedorn spectrum at high energy has been recently proposed. It consists of a single trace deformation of the boundary theory, which is inspired by the recent work on solvable $T\bar{T}$ deformations of two-dimensional CFTs. Thought of as a worldsheet $\sigma $-model, the interpretation of the deformed theory from the bulk viewpoint is that of string theory on a background that interpolates between AdS$_3$ in the IR and a linear dilaton vacuum of little string theory in the UV. The insertion of the operator that realizes the deformation in the correlation functions produces a logarithmic divergence, leading to the renormalization of the primary operators, which thus acquire an anomalous dimension. We compute this anomalous dimension explicitly, and this provides us with a direct way of determining the spectrum of the theory. We discuss this and other features of the correlation functions in presence of the deformation.
Forward citations
Cited by 5 Pith papers
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Deformed BTZ Radiance and Single Trace $T\bar{T}$ Holography
Long-string emission from rotating λ-deformed BTZ black holes forces a unique origin B-field that matches the value needed for the string spectrum to agree with the Z_w sector of single-trace T T-bar deformed orbifold...
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$\boldsymbol{T\overline{T}}$ correlators from tensionless strings
Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.
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Integrability and Renormalization under $T \bar T$
At one loop, the renormalized Lagrangian of the T Tbar-deformed massive scalar splits the two quartic couplings, making g and h unequal, in contrast to the classical Lagrangian.
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$T\bar{T}$ deformations as TsT transformations
T\bar{T} deformations of string worldsheet theories are equivalent to TsT transformations in the T-dual static-gauge frame, with the T\bar{T} CDD factor realized as a Drinfel'd-Reshetikhin twist of the S-matrix.
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
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