Open/closed string duality and relativistic fluids

Abstract

We propose an open/closed string duality in general backgrounds extending previous ideas about open string completeness by Ashoke Sen. Our proposal sets up a general version of holography that works in gravity as a tomographic principle. We argue, in particular, that previous expectations of a supergravity/Dirac-Born-Infeld (DBI) correspondence are naturally embedded in this conjecture and can be tested in a well-defined manner. As an example, we consider the correspondence between open string field theories on extremal D-brane setups in flat space in the large-N, large 't Hooft limit, and asymptotically flat solutions in ten-dimensional type II supergravity. We focus on a convenient long-wavelength regime, where specific effects of higher-spin open string modes can be traced explicitly in the dual supergravity computation. For instance, in this regime we show how the full abelian DBI action arises from supergravity as a straightforward reformulation of relativistic hydrodynamics. In the example of a (2+1)-dimensional open string theory this reformulation involves an abelian Hodge duality. We also point out how different deformations of the DBI action, related to higher-derivative corrections and non-abelian effects, can arise in this context as deformations in corresponding relativistic hydrodynamics.

44 pages, 1 figure, harvmac; v2 added references to related older works on open/closed string duality, amended eq. (3.3) and improved the discussion around eq. (3.13)

References in corpus (9)

• Nonlinear Fluid Dynamics from Gravity
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Brane webs and 1/4-BPS geometries
• Branes, Calibrations and Supergravity
• Effective actions for relativistic fluids from holography
• Strings ending on branes from supergravity
• Constraints on the effective fluid theory of stationary branes
• New Geometries for Black Hole Horizons
• Tension of Confining Strings at Low Temperature

Cited by in corpus (13)

• Meta-stable non-extremal anti-branes
• Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
• Matrix Theory Reloaded: A BPS Road to Holography
• Boundary dynamics in gravitational theories
• The Born-Infeld/Gravity Correspondence
• Thermal transitions of metastable M-branes
• Comments on the stability of the KPV state
• Foliation-based quantization and black hole information
• Quantum gravitational effects on boundary
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Holographic duals of the $\mathcal{N}=1$* gauge theory
• Holographic entanglement entropy in open-closed string duality
• An effective theory for higher-dimensional black holes and applications to metastable antibranes