Comptes Rendus
Strings, gravity, and the quest for unification/Cordes, gravitation, et la quête d'unification
Modular bootstrap of boundary N=2 Liouville theory
[‘Bootstrap’ modulaire pour la théorie de Liouville N=2 au bord]
Comptes Rendus. Physique, Volume 6 (2005) no. 2, pp. 209-217.

Nous présentons nos travaux récents sur la dynamique de la théorie de Liouville N=2 au bord. Nous utilisons la théorie des représentation de l'algèbre superconforme N=2 et les méthodes de ‘bootstrap’ modulaire pour obtenir trois classes d'états au bord pour la théorie de Liouville N=2. Les classes 1 et 2 sont analogues aux branes obtenues par ZZ et FZZT pour les théories de Liouville N=0,1, et la classe 3 vient des degrés de liberté U(1). Nous comparons nos résultats avec ceux du super-espace quotient SL(2;R)/U(1) T-dual à la théorie de Liouville N=2, 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 SL(2;R)/U(1). Nous faisons des commentaires sur la dualité de la théorie de Liouville N=2.

We present our recent studies on the dynamics of boundary N=2 Liouville theory. We use the representation theory of N=2 superconformal algebra and the method of modular bootstrap to derive three classes of boundary states of the N=2 Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes of N=0,1 Liouville theory while class 3 branes come from U(1) degrees of freedom. We compare our results with those of SL(2;R)/U(1) super-coset which is known to be T-dual to N=2 Liouville theory and describes the geometry of 2d black hole. We find good agreements with known results in SL(2;R)/U(1) theory obtained by semi-classical analysis using DBI action. We also comment on the duality of N=2 Liouville theory.

Publié le :
DOI : 10.1016/j.crhy.2004.12.004
Keywords: Liouville theory, Boundary states, $ N=2$ supersymmetry
Mot clés : Théorie de Liouville, Classes d'états au bord, Supersymmétrie
Tohru Eguchi 1

1 Department of Physics, University of Tokyo, Tokyo, Japan 113
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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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