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Notes on Multi-Trace Operators and Holographic Renormalization Group

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abstract

It is shown that the Holographic Renormalization Group can be formulated universally within Quantum Field Theory as (the quantization of) the Hamiltonian flow on the cotangent bundle to the space of gauge-invariant single-trace operators supplied with the canonical symplectic structure. The classical Hamiltonian dynamics is recovered in the large $N$ limit.

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hep-th 1

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2025 1

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CONDITIONAL 1

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Yang-Mills interaction from boundary vector model

hep-th · 2025-04-19 · conditional · novelty 6.0

The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.

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  • Yang-Mills interaction from boundary vector model hep-th · 2025-04-19 · conditional · none · ref 9 · internal anchor

    The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.