Maxwell-Chern-Simons-Matter in AdS₃

@misc{carmi2026maxwellchernsimonsmatter,
  title = {{Maxwell-Chern-Simons-Matter in AdS$_3$}},
  author = {Dean Carmi and Riccardo Ciccone},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30260},
  eprint = {2610.30260},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30260},
}

TY  - UNPB
TI  - Maxwell-Chern-Simons-Matter in AdS_3
AU  - Dean Carmi
AU  - Riccardo Ciccone
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30260
UR  - https://arxiv.org/abs/2610.30260
AB  - We study Maxwell-Chern-Simons theory on AdS_3 coupled to N complex scalars or Dirac fermions, including sextic and Gross-Neveu interactions, respectively. First, we derive the bulk Maxwell-Chern-Simons propagator, clarifying how Dirichlet boundary conditions fix the contributions of the massive and flat sectors. Upon coupling to the matter sector, we work at large N with κ=k/N and α=Ne^2 fixed, where k is the Chern-Simons level. We determine the corresponding phase diagrams, and we resum matter insertions to obtain the photon propagator at leading order in large N, exactly in α and κ. Its poles determine the spin-one boundary spectrum, split into two helicity sectors by the Chern-Simons interaction. With Dirichlet boundary conditions, the unHiggsed scalar phase contains a protected chiral current, which is lifted by Higgsing. In the fermionic phases, the current persists for nonzero effective Chern-Simons level, with helicity determined by the induced level shift. At bulk conformal points, we extract large-N BCFT data for the critical and tricritical scalar theories, as well as for the regular fermion and Gross-Neveu theories.
ER  -