Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10494031" target="_blank" >RIV/00216208:11320/24:10494031 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=P-BOMbDbEJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=P-BOMbDbEJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nuclphysb.2023.116433" target="_blank" >10.1016/j.nuclphysb.2023.116433</a>
Alternative languages
Result language
angličtina
Original language name
Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that
Original language description
To fully clarify the invariance of the classical Liouville field theory under the Virasoro algebra, first elucidate in detail the concept of classical anomaly, discuss the occurrence of two symmetry algebras associated to this theory, and provide some new formulae to compute the classical center in a general fashion. We apply this to the study of the symmetries of the free boson two dimensions. Moving to Liouville, we see how this gives rise to an energy-momentum tensor with non-tensorial conformal transformations, in flat space, and a non-vanishing trace, in curved space. We provide a variety of improvements of the (local) theory, that restore Weyl invariance. With explicit computations, we show that the covariant conservation of the Weyl-invarianceimproved energy-momentum tensor is lost, in general, and relate the chosen improvement with the corresponding subset of preserved diffeomorphisms. The non-tensorial transformation rule the Weyl-invariance-improved energy-momentum tensor in curved space is explicitly back-traced to the Virasoro center.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nuclear Physics B
ISSN
0550-3213
e-ISSN
1873-1562
Volume of the periodical
999
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
34
Pages from-to
116433
UT code for WoS article
001153917700001
EID of the result in the Scopus database
2-s2.0-85182419103