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PreprintCC BY 4.0arXiv

3d Ising Field Theory with Magnetic Deformation: Fuzzy Sphere Meets TCSA

  • Giulia Fardelli
  • A. Liam Fitzpatrick
  • Emanuel Katz
  • Yuan Xin
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Abstract

We study the magnetic deformation of the (2+1)d Ising CFT, also known as Ising Field Theory (IFT), on a spatial sphere. We use the Fuzzy Sphere (FS) Ising setup and compare it to the Truncated Conformal Space Approach (TCSA). Universal, infinite volume, IFT quantities are extracted by modeling the effects of curvature, as expected from a local effective theory on the sphere. We find evidence that IFT contains a bound-state with a small binding energy. Locality also allows us to extract the same IFT quantities from different angular momentum sectors, providing additional consistency checks.

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Cite

BibTeXRIS
BibTeX
@misc{fardelli2026ising,
  title = {{3d Ising Field Theory with Magnetic Deformation: Fuzzy Sphere Meets TCSA}},
  author = {Giulia Fardelli and A. Liam Fitzpatrick and Emanuel Katz and Yuan Xin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10670},
  eprint = {2609.10670},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10670},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - 3d Ising Field Theory with Magnetic Deformation: Fuzzy Sphere Meets TCSA
AU  - Giulia Fardelli
AU  - A. Liam Fitzpatrick
AU  - Emanuel Katz
AU  - Yuan Xin
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10670
UR  - https://arxiv.org/abs/2609.10670
AB  - We study the magnetic deformation of the (2+1)d Ising CFT, also known as Ising Field Theory (IFT), on a spatial sphere. We use the Fuzzy Sphere (FS) Ising setup and compare it to the Truncated Conformal Space Approach (TCSA). Universal, infinite volume, IFT quantities are extracted by modeling the effects of curvature, as expected from a local effective theory on the sphere. We find evidence that IFT contains a bound-state with a small binding energy. Locality also allows us to extract the same IFT quantities from different angular momentum sectors, providing additional consistency checks.
ER  -