[a4paper]JHEP3 amsmath,latexsym,amssymb epsfig We study a non-standard decoupling limit of the D1/D5-brane system, which interpolates between the near-horizon geometry of the D1/D5 background and the near-horizon limit of the pure D5-brane geometry. The S-dual description of this background is actually an exactly solvable two-dimensional (worldsheet) conformal field theory: {null − def ormedSL(2,R)}×SU (2)× T 4 or K3. This model is free of strong-coupling singularities. By a careful treatment of the SL(2, R), based on the better-understood SL(2, R)/U (1) coset, we obtain the full partition function for superstrings on SL(2, R)×SU (2)×T 4 /Z 2 . This allows us to compute the partition functions for the J 3J 3 and J 2J 2 deformations, as well as the full line of supersymmetric null deformations, which links the SL(2, R) conformal field theory with linear-dilaton theory. The holographic interpretation of this setup is a renormalization-group flow between the decoupled NS5-brane world-volume theory in the ultraviolet (little string theory), and the low-energy dynamics of super Yang-Mills string-like instantons in six dimensions. LPTENS-03/07 document footnote0 footnote section0
Abstract:We compute the partition function of the supersymmetric two-dimensional Euclidean black hole geometry described by the SL(2, R)/U (1) superconformal field theory. We decompose the result in terms of characters of the N = 2 superconformal symmetry. We point out puzzling sectors of states besides finding expected discrete and continuous contributions to the partition function. By adding an N = 2 minimal model factor of the correct central charge and projecting on integral N = 2 charges we compute the partition function of the background dual to little string theory in a double scaling limit. We show the precise correspondence between this theory and the background for NS5-branes on a circle, due to an exact description of the background as a null gauging of SL(2, R) × SU (2). Finally, we discuss the interplay between GSO projection and target space geometry.
Abstract:We study D-branes in the mirror pair N = 2 Liouville/supersymmetric SL(2, R)/U (1) coset superconformal field theories. After revisiting the duality between the two models, we build D0, D1 and D2 branes, on the basis of the boundary state construction for the H + 3 conformal field theory. We also construct D0-branes in an orbifold that rotates the angular direction of the cigar. We show how the poles of correlators associated to localized states and bulk interactions naturally decouple in the one-point functions of localized and extended branes. We stress the role played in the analysis of D-brane spectra by primaries in SL(2, R)/U (1) which are descendents of the parent theory.
We analyze asymmetric marginal deformations of SU (2) k and SL(2, R) k wzw models. These appear in heterotic string backgrounds with non-vanishing Neveu-Schwarz three-forms plus electric or magnetic fields, depending on whether the deformation is elliptic, hyperbolic or parabolic. Asymmetric deformations create new families of exact string vacua. The geometries which are generated in this way, deformed S 3 or AdS3, include in particular geometric cosets such as S 2 , AdS2 or H2. Hence, the latter are consistent, exact conformal sigma models, with electric or magnetic backgrounds. We discuss various geometric and symmetry properties of the deformations at hand as well as their spectra and partition functions, with special attention to the supersymmetric AdS2 × S 2 background. We also comment on potential holographic applications.
We analyze in detail the D-branes in the near-horizon limit of NS5-branes on a circle, the holographic dual of little string theory in a double scaling limit. We emphasize their geometry in the background of the NS5-branes and show the relation with D-branes in coset models. The exact one-point functions giving the coupling of the closed string states with the D-branes and the spectrum of open strings are computed.Using these results, we analyze several aspects of Hanany-Witten setups, using exact CFT analysis. In particular we identify the open string spectrum on the D-branes stretched between NS5-branes which confirms the low-energy analysis in brane constructions, and that allows to go to higher energy scales. As an application we show the emergence of the beta-function of the N=2 gauge theory on D4-branes stretching between NS5-branes from the boundary states describing the D4-branes. We also speculate on the possibility of getting a matrix model description of little string theory from the effective theory on the D1-branes. By considering D3-branes orthogonal to the NS5-branes we find a CFT incarnation of the Hanany-Witten effect of anomalous creation of D-branes. Finally we give an brief description of some non-BPS D-branes.
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