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arXiv · 2312.00135

Conformal graphs as twisted partition functions

Manthos Karydas·Songyuan Li·Anastasios C. Petkou·Matthieu Vilatte
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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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Manthos Karydas, Songyuan Li, Anastasios C. Petkou, Matthieu Vilatte. 2023-11-30. Conformal graphs as twisted partition functions. https://doi.org/10.1103/physrevlett.132.231601

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