PP-Wave Holography for Dp-Brane Backgrounds

Abstract

As an extension of the so-called BMN conjecture, we investigate the plane-wave limit for possible holographic connection between bulk string theories in non-conformal backgrounds of D$p$-branes and the corresponding supersymmetric gauge theories for $p<5$. Our work is based on the tunneling picture for dominant null trajectories of strings in the limit of large angular momentum. The tunneling null trajectories start from the near-horizon boundary and return to the boundary, and the resulting backgrounds are time-dependent for general D$p$-branes except for $p=3$. We develop a general method for extracting diagonalized two-point functions for boundary theories as Euclidean (bulk) S-matrix in the time-dependent backgrounds. For the case of D0-brane, two-point functions of supergravity modes are shown to agree with the results derived previously by the perturbative analysis of supergravity. We then discuss the implications of the holography for general cases of D$p$-branes including the stringy excitations. All the cases ($p\ne 3,p<5$) exhibit interesting infra-red behaviors, which are different from free-field theories, suggesting the existence of quite nontrivial fixed-points in dual gauge theories.

43 pages, corrected typos, version to be published in Nucl. Phys. B

References in corpus (3)

• Semiclassical quantization of superstrings: AdS_5 x S^5 and beyond
• Improved Perturbation Theory and Four-Dimensional Space-Time in IIB Matrix Model
• Penrose Limit and String Theories on Various Brane Backgrounds

Cited by in corpus (20)

• Monte Carlo studies of Matrix theory correlation functions
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Holographic renormalization for coincident Dp-branes
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• D-branes and BCFT in Hpp-wave backgrounds
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• Higher spin holography for SYM in d dimensions
• A Note on Holographic Renormalization of Probe D-Branes
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Semiclassical Analysis of String/Gauge Duality on Non-commutative Space
• Stringy effect of the holographic correspondence for Dp-brane backgrounds
• Linear responses of D0-branes via gauge/gravity correspondence
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry