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SL(2,Z) Action on Three-Dimensional CFTs and Holography

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abstract

We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similarity to the dynamics of a wide class of three-dimensional CFTs. The holographic interpretation of our results raises the possibility that many three-dimensional CFTs have duals on AdS4 with SL(2,Z) duality properties at the linearized level.

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hep-th 1

years

2025 1

verdicts

UNVERDICTED 1

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Holographic D-brane constructions with dynamical gauge fields

hep-th · 2025-06-11 · unverdicted · novelty 6.0

Equips bottom-up holographic D-brane models with dynamical boundary gauge fields and shows that quasinormal mode dispersion relations in equilibrium and nonequilibrium states match hydrodynamics with dynamical U(1) symmetry.

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  • Holographic D-brane constructions with dynamical gauge fields hep-th · 2025-06-11 · unverdicted · none · ref 27 · internal anchor

    Equips bottom-up holographic D-brane models with dynamical boundary gauge fields and shows that quasinormal mode dispersion relations in equilibrium and nonequilibrium states match hydrodynamics with dynamical U(1) symmetry.