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We discuss the analytic structure of off-shell correlation functions in Little String Theories (LSTs) using their description as asymptotically linear dilaton backgrounds of string theory. We focus on specific points in the LST moduli space where this description involves the spacetime (R^{d-1,1} times SL(2)/U(1) times a compact CFT), though we expect our qualitative results to be much more general. We show that n-point functions of vertex operators O(p) have single poles as a function of the d-dimensional momentum p, which correspond to normalizable states localized near the tip of the SL(2)/U(1) cigar. Additional poles arise due to the non-trivial dynamics in the bulk of the cigar, and these can lead to a type of UV/IR mixing. Our results explain some previously puzzling features of the low energy behavior of the Green functions. As another application, we compute the precise combinations of single-trace and multi-trace operators in the low-energy gauge theory which map to single string vertex operators in the N=(1,1) supersymmetric d=6 LST. We also discuss the implications of our results for two dimensional string theories and for the (non-existence of a) Hagedorn phase transition in LSTs.
Forward citations
Cited by 8 Pith papers
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Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory
N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.
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Stringy Black Hole Interiors
The paper argues that the operator F, the fusion of winding string operators W+ and W-, describes folded strings that fill the SL(2,R)/U(1) black hole and radiate at the Hawking temperature.
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Little String Theories on Curved Manifolds
Little string theory cannot be put on negatively curved spacetimes, only on flat or positively curved ones, and on spheres its Hagedorn spectrum receives a universal classical correction.
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From Horowitz -- Polchinski to Thirring and Back
New continuation method via affine SU(2)_L x SU(2)_R level variation relates near-Hagedorn black holes and HP solutions to solvable EFT limit of non-abelian Thirring model.
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On string theory on (deformed) $AdS_3\times \mathbb{T}^3$
For string theory on AdS3 at k=1 the paper builds winding-one worldsheet operators that reproduce the chiral algebra of the boundary symmetric-product theory R × T3, and derives T̄T-deformed two-point functions for cu...
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Effective $AdS_3/CFT_2$
The paper generalizes the deformed symmetric-product description of AdS3/CFT2 from k<1 to k≥1 and argues that the Z2 twisted deformation remains non-zero at k=1.
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BPS Fivebrane Stars III: Effective Actions
An NS5-brane plus supergravity effective action reproduces BPS supertube solutions with transverse and internal modes and yields new correlation functions of density and graviton fluctuations.
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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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