Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes (original) (raw)

Asymptotic symmetries of string theory on AdS 3 × S 3 with Ramond-Ramond fluxes

Journal of High Energy Physics, 2009

String theory on AdS 3 space-times with boundary conditions that allow for black hole states has global asymptotic symmetries which include an infinite dimensional conformal algebra. Using the conformal current algebra for sigma-models on P SU (1, 1|2), we explicitly construct the R-symmetry and Virasoro charges in the worldsheet theory describing string theory on AdS 3 × S 3 with Ramond-Ramond fluxes. We also indicate how to construct the full boundary superconformal algebra. The boundary superconformal algebra plays an important role in classifying the full spectrum of string theory on AdS 3 with Ramond-Ramond fluxes, and in the microscopic entropy counting in D1-D5 systems.

Asymptotic symmetries of string theory onAdS₃×S³with Ramond-Ramond fluxes

Journal of High Energy Physics, 2009

String theory on AdS 3

Journal of High Energy Physics, 1998

It was shown by Brown and Henneaux that the classical theory of gravity on AdS 3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro generators in the first-quantized string theory on AdS 3 . In this paper, we explore various aspects of string theory on AdS 3 and study the relation between these two works. We show how semi-classical properties of the string theory reproduce many features of the AdS/CFT duality. Furthermore, we examine how the Virasoro symmetry of Brown and Henneaux is realized in string theory, and show how it leads to the Virasoro Ward identities of the boundary CFT. The Virasoro generators of GKS emerge naturally in this analysis. Our work clarifies several aspects of the GKS construction: why the Brown-Henneaux Virasoro algebra can be realized on the first-quantized Hilbert space, to what extent the free-field approximation is valid, and why the Virasoro generators act on the string worldsheet localized near the boundary of AdS 3 . On the other hand, we find that the way the central charge of the Virasoro algebra is generated is different from the mechanism proposed by GKS.

Spacetime Virasoro algebra from strings on zero radius AdS_3

2003

We study bosonic string theory in the light-cone gauge on AdS 3 spacetime with zero radius of curvature (in string units) R/ √ α ′ = 0. We find that the worldsheet theory admits an infinite number of conserved quantities which are naturally interpreted as spacetime charges and which form a representation of (two commuting copies of) a Virasoro algebra. Near the boundary of AdS 3 these charges are found to be isomorphic to the infinite set of asymptotic Killing vectors of AdS 3 found originally by Brown and Henneaux. In addition to the spacetime Virasoro algebra, there is a worldsheet Virasoro algebra that generates diffeomorphisms of the spatial coordinate of the string worldsheet. We find that if the worldsheet Virasoro algebra has a central extension then the spacetime Virasoro algebra acquires a central extension via a mechanism similar to that encountered in the context of the SL(2, R) WZW model. Our observations are consistent with a recently proposed duality between bosonic strings on zero radius AdS d+1 and free field theory in d dimensions.

AdS 3 / CFT 2 correspondence and space-time N = 3 superconformal algebra

Journal of High Energy Physics, 1999

We study a Wess-Zumino-Witten model with target space AdS 3 ×(S 3 ×S 3 ×S 1)/Z 2. This allows us to construct space-time N = 3 superconformal theories. By combining left-, and right-moving parts through a GSO and a Z 2 projections, a new asymmetric (N , N) = (3, 1) model is obtained. It has an extra gauge (affine) SU (2) symmetry in the target space of the type IIA string. An associated configuration is realized as slantwise intersecting M5-M2 branes with a Z 2-fixed plane in the M-theory viewpoint.

String theory on warped AdS3 and Virasoro resonances

Journal of High Energy Physics, 2011

We investigate aspects of holographic duals to time-like warped AdS 3 space-times-which include Gödel's universe-in string theory. Using worldsheet techniques similar to those that have been applied to AdS 3 backgrounds, we are able to identify space-time symmetry algebras that act on the dual boundary theory. In particular, we always find at least one Virasoro algebra with computable central charge. Interestingly, there exists a dense set of points in the moduli space of these models in which there is actually a second commuting Virasoro algebra, typically with different central charge than the first. We analyze the supersymmetry of the backgrounds, finding related enhancements, and comment on possible interpretations of these results. We also perform an asymptotic symmetry analysis at the level of supergravity, providing additional support for the worldsheet analysis.

The algebra of flat currents for the string on AdS 5 × S 5 in the light-cone gauge

Journal of High Energy Physics, 2005

We continue the program initiated in hep-th/0411200 and calculate the algebra of the flat currents for the string on AdS 5 × S 5 background in the light-cone gauge with κ symmetry fixed. We find that the algebra has a closed form and that the non-ultralocal terms come with a weight factor e φ(σ) that depends on the radial AdS 5 coordinate. Based on results in two-dimensional sigma models coupled to gravity via the dilaton field, this suggests that the algebra of transition matrices in the present case is likely to be unambigous.

D-String on Near Horizon Geometries and Infinite Conformal Symmetry

Physical Review Letters, 1998

We show that the symmetries of effective D-string actions in constant dilaton backgrounds are directly related to homothetic motions of the background metric. In presence of such motions, there are infinitely many nonlinearly realized rigid symmetries forming a loop (or loop like) algebra. Near horizon (AdS) D3 and D1+D5 backgrounds are discussed in detail and shown to provide 2d interacting field theories with infinite conformal symmetry.

Note on classical string dynamics on AdS3

Physical Review D, 1999

We consider bosonic strings propagating on Euclidean adS 3 , and study in particular the realization of various worldsheet symmetries. We give a proper definition for the Brown-Henneaux asymptotic target space symmetry, when acting on the string action, and derive the Giveon-Kutasov-Seiberg worldsheet contour integral representation simply by using Noether's theorem. We show that making identifications in the target space is equivalent to the insertion of an (exponentiated) graviton vertex operator carrying the corresponding charge. Finally, we point out an interesting relation between 3D gravity and the dynamics of the worldsheet on adS 3 . Both theories are described by an SL(2,C)/SU (2) WZW model, and we prove that the reduction conditions determined on one hand by worldsheet diffeomorphism invariance, and on the other by the Brown-Henneaux boundary conditions, are the same.

Aspects of the free field description of string theory on AdS 3

Journal of High Energy Physics, 2000

The near boundary limit of string theory in AdS 3 is analysed using the Wakimoto free field representation of SL(2, R). The theory is considered as a direct product of the SL(2, R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the theory obtained by spectral flow manifestly appear. The formalism naturally leads to consider scattering processes violating winding number conservation. The consistency of the procedure is verified in the factorization limit.

Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes (original) (raw)

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