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A New Holographic Duality for Conformal Mass Deformations

Abstract

We construct a space-dependent conformal mass deformation of ABJM on the half-space z>0 and show that the vacua of this theory are dual to a large class of half-BPS bubbling solutions of the form AdS3× S3× S3×Σ, with superalgebra D(2,1|γ)⊕2, parametrized by γ<0. The conformal symmetry of a plane is preserved provided that the mass deformation scales as m(z)=c/z. We give the first field-theory explanation of the exceptional superalgebra parameter γ in M2-brane field theory in terms of the coefficient of the inverse-distance mass deformation of ABJM: γ=(1−2c)/(1+2c). We demonstrate this using the methods of Polchinski and Strassler, which we first apply to the Janus interfaces of 𝒩=4 super Yang-Mills and ABJM to relate localized mass sources to scalar matching conditions.

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BibTeX
@misc{dulac2026holographic,
  title = {{A New Holographic Duality for Conformal Mass Deformations}},
  author = {Raphaël Dulac},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03784},
  eprint = {2611.03784},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03784},
}
RIS
TY  - UNPB
TI  - A New Holographic Duality for Conformal Mass Deformations
AU  - Raphaël Dulac
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03784
UR  - https://arxiv.org/abs/2611.03784
AB  - We construct a space-dependent conformal mass deformation of ABJM on the half-space z>0 and show that the vacua of this theory are dual to a large class of half-BPS bubbling solutions of the form AdS_3× S^3× S^3×Σ, with superalgebra D(2,1|γ)^⊕2, parametrized by γ<0. The conformal symmetry of a plane is preserved provided that the mass deformation scales as m(z)=c/z. We give the first field-theory explanation of the exceptional superalgebra parameter γ in M2-brane field theory in terms of the coefficient of the inverse-distance mass deformation of ABJM: γ=(1−2c)/(1+2c). We demonstrate this using the methods of Polchinski and Strassler, which we first apply to the Janus interfaces of 𝒩=4 super Yang-Mills and ABJM to relate localized mass sources to scalar matching conditions.
ER  -