Massless sector of AdS3 superstrings: a geometric interpretation
نویسندگان
چکیده
We study the recently discovered q-deformed Poincaré supersymmetry of the AdS3/CFT2 integrable massless scattering, and demonstrate how the S-matrix is invariant under boosts. The boost generator has a non-local coproduct, which acts on the scattering matrix as a differential operator, annihilating it. We propose to reinterpret the boost action in terms of covariant derivatives on bundles, and derive an expression for the S-matrix as the path-ordered exponential of a flat connection. We provide a list of possible alternative interpretations of this emergent geometric picture, including a one-dimensional auxiliary Schrödinger problem. We support our claims by performing a simplified algebraic Bethe ansatz, which bears some resemblance to antiferromagnets.
منابع مشابه
Green-Schwarz Superstrings on AdS3 and the Boundary N = 4 Superconformal Algebra
We study the hybrid formulation of Green-Schwarz superstrings on AdS3 with NS flux and the boundary N = 4 superconformal algebra. We show the equivalence between the NSR and GS superstrings by a field redefinition. The boundary N = 4 superconformal algebra is realized by the free fields of the affine Lie superalgebra A(1|1)(1). We also consider the light-cone gauge and obtain the N = 4 superLio...
متن کاملSuperstring Theory on AdS 3 × G / H and Boundary N = 3 Superconformal Symmetry
Superstrings propagating on backgrounds of the form AdS3 ×G/H are studied using the coset CFT approach. We focus on seven dimensional cosets which have a semiclassical limit, and which give rise to N = 3 superconformal symmetry in the dual CFT. This is realized for the two cases AdS3 × SU(3)/U(1) and AdS3 × SO(5)/SO(3), for which we present an explicit construction. We also provide sufficient c...
متن کاملBoundary States of D-branes in AdS3 Based on Discrete Series
We study D-branes in the Lorentzian AdS3 background from the viewpoint of boundary states, emphasizing the role of open-closed duality in string theory. Employing the world sheet with Lorentzian signature, we construct the Cardy states with the discrete series. We show that they are compatible with (1) unitarity and normalizability, and (2) the spectral flow symmetry, in the open string spectru...
متن کاملAdS3 Black Hole Entropy and the Spectral Flow on the Horizon
We consider the entropy problem of AdS3 black holes using the conformal field theory at the horizon. We observe that the supersymmetry is enhanced at the horizon of massless AdS3 black hole. This allows us to determine the vacuum of the modular invariant conformal field theory to be the NS-ground state (which corresponds to AdS3 spacetime). This is smoothly related to the R-ground state (corres...
متن کامل