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Conformally Invariant Quantization of the Liouville Theory
Abstract
The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges ${L}_{n}$, $n=0, \ifmmode\pm\else\textpm\fi{}1, \dots{}$, is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed. It is then argued, with use of variational methods in Fock space, that the spectrum of the Liouville Hamiltonian is continuous, and that there exist energy eigenstates obeying the constraints ${L}_{n}|E〉=0$, $n>0$.
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Citations
Cited by
Conformal invariance, supersymmetry and string theory
Friedan, D., Martinec, E., & Shenker, S. (1986) · Nuclear Physics B · doi:10.1016/s0550-3213(86)80006-2 · Cited by 1,899
Teschner, J. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/23/201 · Cited by 379
LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION
NAKAYAMA, Y. (2004) · International Journal of Modern Physics A · doi:10.1142/s0217751x04019500 · Cited by 371
What we don't know about BTZ black hole entropy
Carlip, S. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/11/020 · Cited by 213
Two-dimensional quantum cosmology
Cooper, A., Susskind, L., & Thorlacius, L. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90238-s · Cited by 67
Metadata
- Authors
- Curtright, T. L., & Thorn, C. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1982-05-10
- Volume
- 48
- Issue
- 19
- Pages
- 1309-1313
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2100874653
- Cited by
- 322
- References
- 0
- FWCI
- 12.66
- Type
- journal article
- Language
- en
- Open access
- closed
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- Curtright, T. L., & Thorn, C. B. (1982). Conformally Invariant Quantization of the Liouville Theory. Physical Review Letters. https://doi.org/10.1103/physrevlett.48.1309
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