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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Thermal conformal partial waves from flat-space and defect CFT

  • Konstantin Alkalaev1
  • Semyon Mandrygin1
  • Vladimir Samsonov1
  1. 1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute
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Abstract

We establish a correspondence between conformal partial waves on flat, thermal, and defect backgrounds using the shadow formalism. We demonstrate that scalar one-point thermal blocks can be systematically obtained from their four-point flat-space and two-point defect counterparts by considering specific operator configurations. This framework allows us to derive the thermal Casimir equation as a diagonal reduction of the flat-space Casimir system without introducing chemical potentials. We further show that defect two-point blocks with a spin-l exchange operator correspond to thermal one-point blocks for an external spin-l operator.

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Cite

BibTeXRIS
BibTeX
@article{alkalaev2026thermal,
  title = {{Thermal conformal partial waves from flat-space and defect CFT}},
  author = {Konstantin Alkalaev and Semyon Mandrygin and Vladimir Samsonov},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)273},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)273},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Thermal conformal partial waves from flat-space and defect CFT
AU  - Konstantin Alkalaev
AU  - Semyon Mandrygin
AU  - Vladimir Samsonov
PY  - 2026
DA  - 2026/10/28
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)273
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)273
AB  - We establish a correspondence between conformal partial waves on flat, thermal, and defect backgrounds using the shadow formalism. We demonstrate that scalar one-point thermal blocks can be systematically obtained from their four-point flat-space and two-point defect counterparts by considering specific operator configurations. This framework allows us to derive the thermal Casimir equation as a diagonal reduction of the flat-space Casimir system without introducing chemical potentials. We further show that defect two-point blocks with a spin-l exchange operator correspond to thermal one-point blocks for an external spin-l operator.
SN  - 1029-8479
ER  -