### Abstract

We point out the presence of a T→-T temperature-reflection (T-reflection) symmetry for the partition functions of many physical systems. Without knowledge of the origin of the symmetry, we have only been able to test the existence of T-reflection symmetry in systems with exactly calculable partition functions. We show that T-reflection symmetry is present in a variety of conformal and nonconformal field theories and statistical mechanics models with known partition functions. For example, all minimal model partition functions in two-dimensional conformal field theories are invariant under T-reflections. An interesting property of the T-reflection symmetry is that it can be broken by shifts of the vacuum energy.

Original language | English (US) |
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Article number | 106004 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 91 |

Issue number | 10 |

DOIs | |

State | Published - May 14 2015 |

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*91*(10), [106004]. https://doi.org/10.1103/PhysRevD.91.106004