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Conformal graphs as twisted partition functions

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arxiv 2312.00135 v2 pith:DTXNTIAY submitted 2023-11-30 hep-th

Manthos Karydas , Songyuan Li , Anastasios C. Petkou , Matthieu Vilatte This is my paper · ORCID
classification hep-th
keywords conformalgraphstwistedfunctionsfreepartitionscalarsalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that a class of $L$-loop conformal ladder graphs correspond to twisted partition functions of free massive complex scalars in $d=2L+1$ dimensions. The graphs arise as four-point functions in certain two- and four-dimensional conformal fishnet models. The twisted thermal two-point function of the scalars is a generator of such conformal graphs for all loops. We argue that this correspondence is seeded by a system of two decoupled harmonic oscillators twisted by an imaginary chemical potential. We find a number of algebraic and differential relations among the conformal graphs which mirror the underlying free dynamics.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Antipodal self-duality of square fishnet graphs

    hep-th 2025-02 accept novelty 8.0 of 10

    Square fishnet integrals are invariant under the twisted antipode map for every grid size m, proven at function level.

  2. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

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