Infinite class of PT-symmetric theories from one timelike liouville Lagrangian

Carl M. Bender, Daniel W. Hook, Nick E. Mavromatos, Sarben Sarkar

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


Logarithmic timelike Liouville quantum field theory has a generalized PT invariance, where T is the time-reversal operator and P stands for an S-duality reflection of the Liouville field φ. In Euclidean space, the Lagrangian of such a theory L=12(∇φ)2-igφexp(iaφ) is analyzed using the techniques of PT-symmetric quantum theory. It is shown that L defines an infinite number of unitarily inequivalent sectors of the theory labeled by the integer n. In one-dimensional space (quantum mechanics), the energy spectrum is calculated in the semiclassical limit and the mth energy level in the nth sector is given by Em,n∼(m+1/2)2a2/(16n2).

Original languageEnglish
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 3 Dec 2014


Dive into the research topics of 'Infinite class of PT-symmetric theories from one timelike liouville Lagrangian'. Together they form a unique fingerprint.

Cite this