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SL(2,Z) action on three-dimensional conformal field theories with Abelian symmetry

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

8 Pith papers citing it
abstract

On the space of three-dimensional conformal field theories with U(1) symmetry and a chosen coupling to a background gauge field, there is a natural action of the group $SL(2,{\bf Z})$. The generator $S$ of $SL(2,{\bf Z})$ acts by letting the background gauge field become dynamical, an operation considered recently by Kapustin and Strassler in explaining three-dimensional mirror symmetry. The other generator $T$ acts by shifting the Chern-Simons coupling of the background field. This $SL(2,{\bf Z})$ action in three dimensions is related by the AdS/CFT correspondence to $SL(2,{\bf Z})$ duality of low energy U(1) gauge fields in four dimensions.

citation-role summary

background 2

citation-polarity summary

fields

hep-th 8

years

2026 6 2025 2

verdicts

UNVERDICTED 8

roles

background 2

polarities

background 2

representative citing papers

Generalized Families of QFTs

hep-th · 2026-02-09 · unverdicted · novelty 7.0

Generalized family anomalies for broken higher-group and non-invertible symmetries constrain RG flows and IR phases of QFT families, with explicit application to deformed 4d QCD.

A Menagerie of Wormholes and Cosmologies in the Gravitational Path Integral

hep-th · 2026-02-26 · unverdicted · novelty 6.0

The paper identifies a variety of Euclidean saddle solutions including wormholes and oscillatory configurations in Einstein-Scalar-Maxwell models, demonstrates how oscillations are controlled by lifting flat potential directions, finds phase transitions, and shows analytic continuation to FLRW cosm

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.

Bulk-to-bulk photon propagator in AdS

hep-th · 2025-10-27 · unverdicted · novelty 5.0

Derives photon bulk-to-bulk propagators in AdS in multiple gauges by tensor decomposition and form-factor solution, recovering prior results and adding new expressions with improved IR behavior in Fried-Yennie gauge.

citing papers explorer

Showing 8 of 8 citing papers.

  • Protected operators in non-local defect CFTs from AdS hep-th · 2026-05-13 · unverdicted · none · ref 57 · internal anchor

    Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.

  • From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs hep-th · 2026-05-07 · unverdicted · none · ref 109 · internal anchor

    Ensemble averaging in low-dimensional holography is reinterpreted as averaging over topological boundary conditions in a fixed SymTFT slab, reproducing Poisson moments in the Marolf-Maxfield model and Zamolodchikov measure in the Narain case.

  • When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations hep-th · 2026-05-05 · unverdicted · none · ref 88 · internal anchor

    In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and angular momentum.

  • Generalized Families of QFTs hep-th · 2026-02-09 · unverdicted · none · ref 128 · internal anchor

    Generalized family anomalies for broken higher-group and non-invertible symmetries constrain RG flows and IR phases of QFT families, with explicit application to deformed 4d QCD.

  • Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Symplectic CS-SQCD hep-th · 2026-05-07 · unverdicted · none · ref 35 · internal anchor

    New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.

  • A Menagerie of Wormholes and Cosmologies in the Gravitational Path Integral hep-th · 2026-02-26 · unverdicted · none · ref 43 · internal anchor

    The paper identifies a variety of Euclidean saddle solutions including wormholes and oscillatory configurations in Einstein-Scalar-Maxwell models, demonstrates how oscillations are controlled by lifting flat potential directions, finds phase transitions, and shows analytic continuation to FLRW cosm

  • Holographic D-brane constructions with dynamical gauge fields hep-th · 2025-06-11 · unverdicted · none · ref 25 · 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.

  • Bulk-to-bulk photon propagator in AdS hep-th · 2025-10-27 · unverdicted · none · ref 72 · internal anchor

    Derives photon bulk-to-bulk propagators in AdS in multiple gauges by tensor decomposition and form-factor solution, recovering prior results and adding new expressions with improved IR behavior in Fried-Yennie gauge.