Strings on pp-waves and massive two-dimensional field theories

Juan Maldacena; Liat Maoz

doi:10.1016/S1631-0705(03)00036-7

Extra dimensions in physics and astrophysics/Dimensions supplémentaires/en physique et astrophysique

Strings on pp-waves and massive two-dimensional field theories
[Cordes sur ondes pp et les théories de champs massives à deux dimensions]

Présenté par : Guy Laval

Juan Maldacena ¹ ; Liat Maoz ^2,³

¹ Institute for Advanced Study, Princeton, NJ 08540, USA
² Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA
³ Jadwin Hall, Princeton University, Princeton, NJ 08544, USA

Comptes Rendus. Physique, Volume 4 (2003) no. 3, pp. 371-385.

Résumé
Abstract

On trouve une classe générale de solutions ondes pp de la théorie de cordes de type IIB telles que le Lagrangien de la feuille d'univers dans la jauge du cone de lumıère soit celui d'une théorie d'intéraction de champs massifs. Quand ce Lagrangien a une supersymétrie (2,2) on peut trouver des cas où le superpotentiel sur la feuille d'univers est quelconque. Nous décrivons en détail les cas donnat lieu à une théorie Sine Gordon N=2 sur la feuille d'univers. La symétrie miroir massive le relie au modèle CP¹ déformé (ou modèle saucisse) qui semble éluder une interprétation de l'espace cible sous forme de supergravité pure.

We find a general class of pp-wave solutions of type IIB string theory such that the light cone gauge worldsheet Lagrangian is that of an interacting massive field theory. When the light cone Lagrangian has (2,2) supersymmetry we can find backgrounds that lead to arbitrary superpotentials on the worldsheet. We consider situations with both flat and curved transverse spaces. We describe in some detail the background giving rise to the N=2 sine Gordon theory on the worldsheet. Massive mirror symmetry relates it to the deformed CP¹ model (or sausage model) which seems to elude a purely supergravity target space interpretation.

Publié le : 2003-04-01

DOI : 10.1016/S1631-0705(03)00036-7

Affiliations des auteurs :

Juan Maldacena ¹ ; Liat Maoz ^{2, 3}

¹ Institute for Advanced Study, Princeton, NJ 08540, USA
² Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA
³ Jadwin Hall, Princeton University, Princeton, NJ 08544, USA

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     language = {en},
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Juan Maldacena; Liat Maoz. Strings on pp-waves and massive two-dimensional field theories. Comptes Rendus. Physique, Volume 4 (2003) no. 3, pp. 371-385. doi : 10.1016/S1631-0705(03)00036-7. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(03)00036-7/

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