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Published on: August 13, 2020
Conformal Graphs as Twisted Partition Functions
Manthos Karydas1, Songyuan Li2, Anastasios C Petkou2
1Illinois Center for Advanced Studies of the Universe and Department of Physics, <a href="https://ror.org/05e94g991">University of Illinois</a>, 1110 West Green St., Urbana Illinois 61801, USA.
Abstract:
We show that a class of L-loop conformal ladder graphs are intimately related 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 becomes a generator of conformal ladder 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 that mirror the underlying free dynamics.
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