Abstract
We explore the stringy structure of 1/2-BPS bound states of NS fivebranes carrying momentum or fundamental string charge, in the decoupling limits leading to little string theory and to AdS3/CFT2 duality. We develop an exact worldsheet description of these states using null-gauged sigma models, and illustrate the construction by deriving the closed-form solution sourced by an elliptical NS5-F1 supertube. The Calabi-Yau/Landau-Ginsburg correspondence maps this geometrical worldsheet description to a non-compact LG model whose superpotential is determined by the fivebrane source configuration. Singular limits of the 1/2-BPS configuration space result when the fivebrane worldvolume self-intersects, as can be seen from both sides of the CY/LG duality — on the Landau-Ginsburg side from the degeneration of the superpotential(s), and on the geometrical side from an analysis of D-brane probes. These singular limits are a portal to black hole formation via the condensation of the branes that are becoming massless, and thus exhibit in the gravitational bulk description the central actors in the non-gravitational dual theory underlying black hole thermodynamics.
Highlights
The Neveu-Schwarz fivebrane occupies a special place in the assortment of extended objects in string theory
We explore the stringy structure of 1/2-BPS bound states of NS fivebranes carrying momentum or fundamental string charge, in the decoupling limits leading to little string theory and to AdS3/CF T2 duality
These NS5-F1 bound states are in a U-duality orbit that includes D1-D5, F1-P, and NS5-P bound states, where P denotes momentum along S1
Summary
The Neveu-Schwarz fivebrane occupies a special place in the assortment of extended objects in string theory. On the Landau-Ginsburg side, the fivebrane locations are directly coded by the zeros of the holomorphic worldvolume superpotential; we exhibit a precise map between the parameters of the superpotential and those that determine the shape profile FI (v) of the supertube source in the supergravity description. In both descriptions, one can see a strong-coupling singularity develop when fivebranes approach one another — through coalescing zeros of the superpotential in the Landau-Ginsburg description, and through the development of vanishing cycles in the Lunin-Mathur geometry when the source profile develops a self-intersection. That new phase is the black hole phase, and the phase transition is associated to the formation of a near-extremal black hole horizon in the corresponding low-energy effective theory
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