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

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

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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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/

[1] R.R. Metsaev; R.R. Metsaev; A.A. Tseytlin Exactly solvable model of superstring in plane wave Ramond-Ramond background, Nucl. Phys. B, Volume 625, 2002, p. 70 | arXiv

[2] D. Berenstein; J.M. Maldacena; H. Nastase Strings in flat space and pp waves from N=4 super Yang Mills, JHEP, Volume 0204 (2002), p. 013 | arXiv

[3] P. Fendley; K.A. Intriligator Scattering and thermodynamics of fractionally charged supersymmetric solitons, Nucl. Phys. B, Volume 372 (1992), p. 533 | arXiv

[4] P. Fendley; K.A. Intriligator Scattering and thermodynamics in integrable N=2 theories, Nucl. Phys. B, Volume 380 (1992), p. 265 | arXiv

[5] P. Fendley, K. Intrilligator, unpublished

[6] K. Hori; C. Vafa Mirror symmetry | arXiv

[7] K. Hori; A. Kapustin Duality of the fermionic 2d black hole and N=2 Liouville theory as mirror symmetry, JHEP, Volume 0108 (2001), p. 045 | arXiv

[8] M. Blau; J. Figueroa-O'Farrill; C. Hull; G. Papadopoulos A new maximally supersymmetric background of IIB superstring theory, JHEP, Volume 0201 (2002), p. 047 | arXiv

[9] J. Bagger; J. Wess Supersymmetry and Supergravity, Princeton University Press, 1992

[10] J. Bagger; E. Witten The gauge invariant supersymmetric nonlinear sigma model, Phys. Lett. B, Volume 118 (1982), p. 103

[11] L. Alvarez-Gaume; D.Z. Freedman Potentials for the supersymmetric nonlinear sigma model, Commun. Math. Phys., Volume 91 (1983), p. 87

[12] S.J. Gates Superspace formulation of new nonlinear sigma models, Nucl. Phys. B, Volume 238 (1984), p. 349

[13] N. Berkovits, J. Maldacena, to appear

[14] N. Berkovits; N. Berkovits Calculation of Green–Schwarz superstring amplitudes using the N=2 twistor string formalism, Nucl. Phys. B, Volume 379 (1992), p. 96 | arXiv

[15] K.I. Kobayashi; T. Uematsu S matrix of N=2 supersymmetric sine–Gordon theory, Phys. Lett. B, Volume 275 (1992), p. 361 | arXiv

[16] V.V. Bazhanov; S.L. Lukyanov; A.B. Zamolodchikov; P. Dorey; R. Tateo Quantum field theories in finite volume: excited state energies, Nucl. Phys. B, Volume 489 (1997), p. 487 | arXiv

[17] V.A. Fateev; E. Onofri; A.B. Zamolodchikov The Sausage model (integrable deformations of O(3) sigma model), Nucl. Phys. B, Volume 406 (1993), p. 521

[18] V. Kazakov; I.K. Kostov; D. Kutasov A matrix model for the two-dimensional black hole, Nucl. Phys. B, Volume 622 (2002), p. 141 | arXiv

[19] A.A. Tseytlin Finite sigma models and exact string solutions with Minkowski signature metric, Phys. Rev. D, Volume 47 (1993), p. 3421 | arXiv

[20] E. Floratos; A. Kehagias Penrose limits of orbifolds and orientifolds | arXiv

[21] A.N. Jourjine; A.N. Jourjine Constraints on superpotentials in off-shell extended nonlinear sigma models, Nucl. Phys. B, Volume 157 (1984), p. 489

[22] E.J. Martinec; W. McElgin Exciting AdS orbifolds | arXiv

[23] K. Hori; A. Iqbal; C. Vafa D-branes and mirror symmetry | arXiv

[24] M.B. Green; J.H. Schwarz; E. Witten Superstring Theory, Vol. II, Cambridge University Press, 1987

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