We propose a duality between the 2d ${\mathcal{W}}_{N}$ minimal models in large $N$ 't Hooft limit, and family of higher spin theories on ${\mathrm{AdS}}_{3}$. The conformal field (CFTs) can be described as Wess-Zumino-Witten coset models, include, for $N=2$, usual Virasoro unitary series. dual bulk theory contains, addition to massless fields, two complex scalars (of equal mass). mass is directly related coupling constant CFT. give convincing evidence that spectra match precisely all values...

We review the duality relating 2D minimal model conformal field theories, in a large-N 't Hooft like limit, to higher spin gravitational theories on AdS3.

A bstract It was recently argued that string theory on AdS 3 × S 𝕋 4 with one unit ( k = 1) of NS-NS flux is exactly dual to the symmetric orbifold CFT Sym N (𝕋 ). In this paper we show how directly relate n -point correlators two sides another. particular, argue world-sheet are delta-function- localised in moduli space those configurations allow for a holomorphic covering map 2 -boundary by world-sheet. This striking feature can be seen both from careful Ward identity analysis, as well...

The spectrum of superstrings on ${\rm AdS}_3 \times {\rm S}^3 \mathbb{M}_4$ with pure NS-NS flux is analysed for the background where radius AdS space takes minimal value $(k=1)$. Both $\mathbb{M}_4={\rm S}^1$ and $\mathbb{M}_4 = \mathbb{T}^4$ we show that there a special set physical states, coming from bottom spectrally flowed continuous representations, which agree in precise detail single particle free symmetric product orbifold. For case this relies making sense world-sheet theory at...

It is natural to believe that the free symmetric product orbifold CFT dual tensionless limit of string theory on AdS3 x S3 T4. At this point in moduli space, expected contain a Vasiliev higher spin as subsector. We confirm picture explicitly by showing large level N=4 cosets arXiv:1305.4181, are AdS3, indeed describe closed subsector orbifold. Furthermore, we reorganise full partition function terms representations algebra (or rather its $W_{\infty}$ extension). In particular, unbroken...

It is shown that the supersymmetry-preserving automorphisms of any non-linear σ-model on K3 generate a subgroup Conway group Co 1 .This stringy generalization classical theorem, due to Mukai and Kondo, showing symplectic manifold form Mathieu M 23 .The contains 24 (and therefore in particular ) as subgroup.We confirm predictions Theorem with three explicit conformal field theory (CFT) realizations K3: T 4 /Z 2 orbifold at self-dual point, two Gepner models (2) (1) 6 .In each case we...

A bstract Superstring theory on $$ {\mathrm{AdS}}_3 \times {S}^3\times {\mathbb{T}}^4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>AdS</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mo>×</mml:mo> <mml:mspace /> <mml:msup> <mml:mi>S</mml:mi> </mml:msup> <mml:mi>T</mml:mi> <mml:mn>4</mml:mn> </mml:math> with the smallest amount of NS-NS flux (“ k = 1”) is shown to be dual spacetime CFT given by large N limit free symmetric product orbifold Sym...

For string theory on AdS$_3$ with pure NS-NS flux a complete set of DDF operators is constructed, from which one can read off the symmetry algebra spacetime CFT. Together an analysis spectrum, this allows us to show that CFT dual superstring ${\rm AdS}_3 \times {\rm S}^3 \mathbb{T}^4$ for generic symmetric orbifold $({\cal N}=4$ Liouville theory$)\times \mathbb{T}^4$. case minimal ($k=1$), factor disappears, and we just obtain $\mathbb{T}^4$, thereby giving further support previous claim. We...

A bstract We employ the free field realisation of $$ \mathfrak{psu}{\left(1,1\left|2\right.\right)}_1 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>psu</mml:mi> <mml:msub> <mml:mfenced> <mml:mn>1</mml:mn> <mml:mrow> <mml:mn>2</mml:mn> </mml:mfenced> </mml:mrow> </mml:msub> </mml:math> world-sheet theory to constrain correlators string on AdS 3 × S 𝕋 4 with unit NS-NS flux. In particular, we directly obtain unusual delta function localisation these onto branched covers...

A bstract The symmetric orbifold of 𝕋 4 is exactly dual to string theory on AdS 3 × S with minimal ( k = 1) NS-NS flux. In this paper we study the perturbation that switching R-R flux, and hence deforming away from tensionless point. More specifically, determine systematically action a centrally extended supersymmetry algebra CFT states, deduce it anomalous conformal dimensions. w -twisted sector large structure similar what was found for $$ \mathcal{N} <mml:math...

A comprehensive introduction to logarithmic conformal field theory, using an algebraic point of view, is given. number examples are explained in detail, including the c=-2 triplet theory and k=-4/3 affine su(2) theory. We also give some brief work Zhu.

Two different conformal field theories can be joined together along a defect line. We study such defects for the case where on either side are single free bosons compactified circle. concentrate topological which left- and right-moving Virasoro algebras separately preserved, but not necessarily any additional symmetries. For both radii rational multiples of self-dual radius we classify these defects. also show that isomorphism between two T-dual boson described by action defect, hence...