Temperature-reflection symmetry

Gökçe Başar, Aleksey Cherman, David A. McGady, Masahito Yamazaki

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 languageEnglish (US)
Article number106004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - May 14 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.


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