An<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>dual for minimal model CFTs

Gaberdiel, Matthias R.; Gopakumar, Rajesh

doi:10.1103/physrevd.83.066007

Cited by 442 publications

(938 citation statements)

References 52 publications

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“…The duality between the W N minimal model conformal field theories and the higher spin theory of Vasiliev on the AdS 3 has been proposed by Gaberdiel and Gopakumar in [1]. Very recently, in [2], this proposal has been clarified further and they claim that the W N minimal model conformal field theory is dual, in the 't Hooft 1 N expansion, to the higher spin theory coupled to one complex scalar.…”

Section: Introductionmentioning

confidence: 95%

“…According to the observation of [2], the original proposal in [1] should hold at finite (N, k) and one expects that the quantum deformation algebra of N = 2 W cl ∞ [λ] in [5] should satisfy the algebraic structure in (2.39), at finite (N, k).…”

Section: The General N Case: Cpmentioning

confidence: 99%

“…U(3)×U (1) by introducing the extra U (1)'s in order to have even-dimensional groups G and H from (2.1). In principle, one can find the corresponding N = 2 current algebra with U (4) group in the complex basis.…”

Section: Thementioning

confidence: 99%

“…In [3], the N = 2 supersymmetric extension of [1], the higher spin AdS 3 supergravity, has been studied where the dual conformal field theory is given by N = 2 CP N KazamaSuzuki(KS) model in two dimensions. The supergravity partition function is computed and agrees with the partition function from the superconformal field theory side.…”

Section: Introductionmentioning

confidence: 99%

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The large N ’t Hooft limit of Kazama-Suzuki model

Ahn

2012

J. High Energ. Phys.

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We consider N = 2 Kazama-Suzuki model on CP N = SU (N +1) SU (N )×U (1) . It is known that the N = 2 current algebra for the supersymmetric WZW model, at level k, is a nonlinear algebra. The N = 2 W 3 algebra corresponding to N = 2 was recovered from the generalized GKO coset construction previously. For N = 4, we construct one of the higher spin currents, in N = 2 W 5 algebra, with spins (2, 5 2 , 5 2 , 3). The self-coupling constant in the operator product expansion of this current and itself depends on N as well as k explicitly. We also observe a new higher spin primary current of spins (3, 7 2 , 7 2 , 4). From the behaviors of N = 2, 4 cases, we expect the operator product expansion of the lowest higher spin current and itself in N = 2 W N +1 algebra. By taking the large (N, k) limit on the various operator product expansions in components, we reproduce, at the linear order, the corresponding operator product expansions in N = 2 classical W cl ∞ [λ] algebra which is the asymptotic symmetry of the higher spin AdS 3 supergravity found recently.

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Section: Introductionmentioning

confidence: 95%

Section: The General N Case: Cpmentioning

confidence: 99%

Section: Thementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The large N ’t Hooft limit of Kazama-Suzuki model

Ahn

2012

J. High Energ. Phys.

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“…[50] which extracts information on the AdS 5 × S 5 Kaluza Klein excitations from the N 10d = 1 flat space spectrum, in particular from its large spin regime investigated in detail here. Finally it would be also very interesting to explore the extended sym-metry structure of the universal higher spin states in supersymmetric string compactifications, in analogy to the W N -symmetries in three-dimensional higher spin theories on AdS 3 [51][52][53].…”

Section: Four-dimensional N 4d = 4 Spectramentioning

confidence: 99%

Refined partition functions for open superstrings with 4, 8 and 16 supercharges

Lüst¹,

Mekareeya²,

Schlotterer³

et al. 2013

Nuclear Physics B

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We analyze the perturbative massive open string spectrum of even-dimensional superstring compactifications with four, eight and sixteen supercharges. In each of such cases, we focus on universal states that exist independently on the internal geometry and other compatification details. We analytically compute refined partition functions that count these states at each mass level. Such refined partition functions are written in a super-Poincaré covariant form, providing information on how supermultiplets transform under the little group and the R symmetry. Various asymptotic limits of the partition functions and their associated quantities, such as the leading and subleading Regge trajectories, are studied empirically and analytically. In the phenomenologically relevant case of four supercharges, the partition function can be cast into the most compact form and the asymptotic formula in the large spin limit is derived explicitly. Crown Lüst et al. / Nuclear Physics B 876 (2013) Fig. 1. Classes of superstring compactifications for which we will discuss the universal particle content. The arrows within the columns represent dimensional reduction on a T 2 torus.

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From Higher Spins to Strings: A Primer

Rahman,

Taronna

2024

Lecture Notes in Physics

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AnAdS3dual for minimal model CFTs

Cited by 442 publications

References 52 publications

The large N ’t Hooft limit of Kazama-Suzuki model

The large N ’t Hooft limit of Kazama-Suzuki model

Refined partition functions for open superstrings with 4, 8 and 16 supercharges

From Higher Spins to Strings: A Primer

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