Sums over representations of half-BPS Wilson loops in SYM matrix models are dual to bubbling wormhole geometries of multi-covered AdS5 x S5 with intersecting S4 boundaries.
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Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
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abstract
We study some aspects of Maldacena's large $N$ correspondence between N=4 superconformal gauge theory on D3-brane and maximal supergravity on AdS_5xS_5 by introducing macroscopic strings as heavy (anti)-quark probes. The macroscopic strings are semi-infinite Type IIB strings ending on D3-brane world-volume. We first study deformation and fluctuation of D3-brane when a macroscopic BPS string is attached. We find that both dynamics and boundary conditions agree with those for macroscopic string in anti-de Sitter supergravity. As by-product we clarify how Polchinski's Dirichlet / Neumann open string boundary conditions arise dynamically. We then study non-BPS macroscopic string anti-string pair configuration as physical realization of heavy quark Wilson loop. We obtain quark-antiquark static potential from the supergravity side and find that the potential exhibits nonanalyticity of square-root branch cut in `t Hooft coupling parameter. We put forward the nonanalyticity as prediction for large-N gauge theory at strong `t Hooft coupling limit. By turning on Ramond-Ramond zero-form potential, we also study theta-vacuum angle dependence of the static potential. We finally discuss possible dynamical realization of heavy N-prong string junction and of large-N loop equation via local electric field and string recoil thereof. Throughout comparisons of the AdS-CFT correspondence, we find crucial role played by `geometric duality' between UV and IR scales on directions perpendicular to D3-brane and parallel ones, explaining how AdS5 spacetime geometry emerges out of four-dimensional gauge theory at strong coupling.
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representative citing papers
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
Holographic checks confirm area-law confinement, anomaly-matching domain walls via 2+1D TQFT, and unstable axionic strings implying no massless axions in this finite duality cascade model.
Neural networks reconstruct both spatial and timelike bulk metric components from strip entanglement entropy and Wilson loops with sub-0.2% accuracy in holographic models such as AdS-Schwarzschild and Gubser-Rocha.
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
citing papers explorer
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Bubbling wormholes and matrix models
Sums over representations of half-BPS Wilson loops in SYM matrix models are dual to bubbling wormhole geometries of multi-covered AdS5 x S5 with intersecting S4 boundaries.
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Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
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Regge trajectories from the adjoint sector of Matrix Quantum Mechanics
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
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Confinement in a finite duality cascade
Holographic checks confirm area-law confinement, anomaly-matching domain walls via 2+1D TQFT, and unstable axionic strings implying no massless axions in this finite duality cascade model.
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Holographic entanglement entropy, Wilson loops, and neural networks
Neural networks reconstruct both spatial and timelike bulk metric components from strip entanglement entropy and Wilson loops with sub-0.2% accuracy in holographic models such as AdS-Schwarzschild and Gubser-Rocha.
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Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
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