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Wilson Loops and Minimal Surfaces

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N=4 supersymmetry in 4 dimensions is described by a minimal surface in AdS_5 x S^5. We examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which we call BPS loops, whose expectation values are free from ultra-violet divergence. We formulate the loop equation for such loops. To the extent that we have checked, the minimal surface in AdS_5 x S^5 gives a solution of the equation. We also discuss the zig-zag symmetry of the loop operator. In the N=4 gauge theory, we expect the zig-zag symmetry to hold when the loop does not couple the scalar fields in the supermultiplet. We will show how this is realized for the minimal surface.

years

2026 2 2025 2

verdicts

UNVERDICTED 4

representative citing papers

Quark Anti-Quark Fusion and Walking RG Flows

hep-th · 2026-07-01 · unverdicted · novelty 7.0

Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.

Bubbling wormholes and matrix models

hep-th · 2025-12-31 · unverdicted · novelty 7.0

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.

citing papers explorer

Showing 4 of 4 citing papers.

  • Quark Anti-Quark Fusion and Walking RG Flows hep-th · 2026-07-01 · unverdicted · none · ref 13 · internal anchor

    Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.

  • Bubbling wormholes and matrix models hep-th · 2025-12-31 · unverdicted · none · ref 6 · internal anchor

    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.

  • Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization hep-ph · 2026-06-18 · unverdicted · none · ref 45 · internal anchor

    The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization via the holographic Pomeron.

  • Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills hep-th · 2025-12-05 · unverdicted · none · ref 2 · internal anchor

    Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.