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Title:
Lessons for CFTs from inversion formulas at nonzero temperature
Speaker:
Abstract:
Conformal field theories properly defined on nontrivial geometries contain information not available in the infinite plane geometry. This is a widely known fact that plays a crucial role in the study of finite-temperature/finite-size systems. In this talk I will describe an OPE inversion formula that allows us to determine thermal one-point functions. I will then apply this inversion formula to finite-temperature two-point functions of non-trivial bosonic and fermionic CFTs. I will show that specific thermal masses are required, obtained as solutions of transcendental equations, in order to allow nonzero temperature in these theories. Finally, I will argue that these thermal masses unveil the vacuum structure of the corresponding theories at zero temperature. (Based on arXiv:1806.02340)
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