Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Nuclear Physics B

ISSN

0550-3213

e-ISSN

1873-1562

Svazek periodika

999

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

34

Strana od-do

116433

Kód UT WoS článku

001153917700001

EID výsledku v databázi Scopus

2-s2.0-85182419103