Strong Coupling Holography

Abstract

We show that whenever a 4-dimensional theory with N particle species emerges as a consistent low energy description of a 3-brane embedded in an asymptotically-flat (4+d)-dimensional space, the holographic scale of high-dimensional gravity sets the strong coupling scale of the 4D theory. This connection persists in the limit in which gravity can be consistently decoupled. We demonstrate this effect for orbifold planes, as well as for the solitonic branes and string theoretic D-branes. In all cases the emergence of a 4D strong coupling scale from bulk holography is a persistent phenomenon. The effect turns out to be insensitive even to such extreme deformations of the brane action that seemingly shield 4D theory from the bulk gravity effects. A well understood example of such deformation is given by large 4D Einstein term in the 3-brane action, which is known to suppress the strength of 5D gravity at short distances and change the 5D Newton's law into the four-dimensional one. Nevertheless, we observe that the scale at which the scalar polarization of an effective 4D-graviton becomes strongly coupled is again set by the bulk holographic scale. The effect persist in the gravity decoupling limit, when the full theory reduces to a 4D system in which the only memory about the high-dimensional holography is encoded in the strong coupling scale. The observed intrinsic connection between the high-dimensional flat space holography and 4D strong coupling suggests a possible guideline for generalization of AdS/CFT duality to other systems.

26 pages, Latex

References in corpus (27)

• The World as a Hologram
• The Holographic Bound in Anti-de Sitter Space
• Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
• Gravity on a Brane in Infinite-Volume Extra Space
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Ghosts in Massive Gravity
• Degravitation of the Cosmological Constant and Graviton Width
• The Accelerated Universe and the Moon
• Cascading DGP
• On the Graviton Mass
• Large-N bounds on, and compositeness limit of, gauge and gravitational interactions
• The Generalized Second Law of Thermodynamics in Cosmology
• Quantum Information and Gravity Cutoff in Theories with Species
• Solitonic D-branes and brane annihilation
• Cosmic Strings in a Braneworld Theory with Metastable Gravitons
• Phenomenology of 10^32 Dark Sectors
• Flat 3-Brane with Tension in Cascading Gravity
• Large N Domain Walls as D-branes for $\mathcal{N}=1$ QCD String
• Domain Walls As Probes Of Gravity
• Anomaly Driven Cosmology: Big Boost Scenario and AdS/CFT Correspondence
• Nature of Microscopic Black Holes and Gravity in Theories with Particle Species
• Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions
• Induced gravity on intersecting brane-worlds Part II: Cosmology
• The Shortest Scale of Quantum Field Theory
• (De)coupling Limit of DGP
• Self-accelerating solutions in the cascading DGP braneworld
• A braneworld puzzle about entropy bounds and a maximal temperature

Cited by in corpus (7)

• Evaporation of Microscopic Black Holes in String Theory and the Bound on Species
• Self-Completeness of Einstein Gravity
• A bound on the effective gravitational coupling from semiclassical black holes
• Probing Quantum Geometry at LHC
• Species and Strings
• Modification of the laws of gravity in the DGP model by the presence of a second DGP brane
• Holography of Species in Cascading DGP