Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds

Abstract

We investigate the holographic correspondence between (p+1)-dimensional ($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the tunneling picture, we study Euclidean superstring semi-classically along null geodesics which connect two points on the boundary of the spacetime. We extend the analysis of hep-th/0308024 and study the fermionic sector of the superstring. For $p\ne 3$, we do not have world-sheet supersymmetry, and the energies of bosonic and fermionic fluctuations do not match. By interpreting the superstring amplitudes as correlators of gauge theory operators with large R-charge J, we obtain gauge theory two-point functions including those of fermionic operators. Our approach yields results consistent with the previous supergravity analysis for the D0-branes, including the subleading part in J. Our prediction from holography is that the two-point functions for the supergravity modes are power-law behaved, even for the non-conformal ($p\ne 3$) SYM theories.

arXiv comment31 pages, 1 figure; v2: discussion on the consistency with a known result of supergravity analysis added

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• 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
• SO(9) supergravity in two dimensions
• 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
• A Note on Holographic Renormalization of Probe D-Branes
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• Stringy effect of the holographic correspondence for Dp-brane backgrounds
• Linear responses of D0-branes via gauge/gravity correspondence
• Rotating particles in AdS: Holography at weak gauge coupling and without conformal symmetry