PreprintCC BY 4.0arXiv
Thermal conformal partial waves from flat-space and defect CFT
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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BibTeX
@misc{alkalaev2026thermal,
title = {{Thermal conformal partial waves from flat-space and defect CFT}},
author = {K. B. Alkalaev and Semyon Mandrygin and Vladimir Samsonov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.27256},
eprint = {2605.27256},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.27256},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Thermal conformal partial waves from flat-space and defect CFT
AU - K. B. Alkalaev
AU - Semyon Mandrygin
AU - Vladimir Samsonov
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2605.27256
UR - https://arxiv.org/abs/2605.27256
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.
ER -