Chern-Simons theories in the AdS/CFT correspondence

1999/02/28 by Pablo Minces, Victor O. Rivelles · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0370-2693(99)00411-6

published as Phys.Lett.B455:147-154,1999 · 14 pages, Latex, bulk solutions corrected and boundary terms derived from the variational principle, minor corrections, version to be published

openalex publication_date 1999/05/01 · arxiv created 1999/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the AdS/CFT correspondence for theories with a Chern-Simons term in three dimensions. We find the two-point functions of the boundary conformal field theories for the Proca-Chern-Simons theory and the Self-Dual model. We also discuss particular limits where we find the two-point function of the boundary conformal field theory for the Maxwell-Chern-Simons theory. In particular our results are consistent with the equivalence between the Maxwell-Chern-Simons theory and the Self-Dual model.

Citations

• Coordinate-space holographic projection of fields and an application to massive vector fields
• Boundary terms in the AdS/CFT correspondence for spinor fields
• Topologically massive gauge theories

Cited by

• Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect
• From Maxwell-Chern-Simons theory in AdS 3 towards hydrodynamics in 1 + 1 dimensions
• Equivalence between supersymmetric self-dual and Maxwell–Chern–Simons models coupled to a matter spinor superfield
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy