Resurgent properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>-deformed conformal field theorie
We elaborate on the resurgence analysis on the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>T</a:mi><a:mover accent="true"><a:mi>T</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math>-deformed 2D conformal field theory (CFT). Writing the deformed partition function as an infinite series in the deformation parameter <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>λ</e:mi></e:math>, we develop efficient analytical methods to compute high-order terms of the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>λ</g:mi></g:math>-series. Based on the asymptotic behavior of the large-order perturbative series, we show that the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>λ</i:mi></i:math>-series is asymptotic and extract nonperturbative contributions by resurgence. This paper extends a previous Letter of the same authors to interacting rational CFTs, with Lee-Yang CFT as a concrete example. We also discuss possible implications of the resurgence results on holography.
Authors
- Huajia Wang (ORCID: https://orcid.org/0000-0002-6311-8693)
- Yunfeng Jiang (ORCID: https://orcid.org/0000-0003-3396-8547)
- Karl J. Friston
Institutions
- Kavli Institute for Theoretical Sciences (CN)
- Peng Huanwu Center for Fundamental Theory (CN)
- University of Chinese Academy of Sciences (CN)
- Southeast University (CN)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-07-14
- DOI
- https://doi.org/10.1103/dvwg-9jcy
- Citations
- 5
- Primary Topic
- High-pressure geophysics and materials
- Type
- article
- Field-Weighted Citation Impact
- 9.33