Nous présentons nos travaux récents sur la dynamique de la théorie de Liouville au bord. Nous utilisons la théorie des représentation de l'algèbre superconforme et les méthodes de ‘bootstrap’ modulaire pour obtenir trois classes d'états au bord pour la théorie de Liouville . Les classes 1 et 2 sont analogues aux branes obtenues par ZZ et FZZT pour les théories de Liouville , et la classe 3 vient des degrés de liberté . Nous comparons nos résultats avec ceux du super-espace quotient T-dual à la théorie de Liouville , et décrivant la géomètrie de trous noirs à 2 dimensions. Nos résultats sont compatibles avec ceux obtenus par une analyse semi-classique de l'action de DBI pour la théorie . Nous faisons des commentaires sur la dualité de la théorie de Liouville .
We present our recent studies on the dynamics of boundary Liouville theory. We use the representation theory of superconformal algebra and the method of modular bootstrap to derive three classes of boundary states of the Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes of Liouville theory while class 3 branes come from degrees of freedom. We compare our results with those of super-coset which is known to be T-dual to Liouville theory and describes the geometry of 2d black hole. We find good agreements with known results in theory obtained by semi-classical analysis using DBI action. We also comment on the duality of Liouville theory.
@article{CRPHYS_2005__6_2_209_0, author = {Tohru Eguchi}, title = {Modular bootstrap of boundary $ N=2$ {Liouville} theory}, journal = {Comptes Rendus. Physique}, pages = {209--217}, publisher = {Elsevier}, volume = {6}, number = {2}, year = {2005}, doi = {10.1016/j.crhy.2004.12.004}, language = {en}, }
Tohru Eguchi. Modular bootstrap of boundary $ N=2$ Liouville theory. Comptes Rendus. Physique, Volume 6 (2005) no. 2, pp. 209-217. doi : 10.1016/j.crhy.2004.12.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.12.004/
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