Navegar

Colección

Datos Estadísticas

Artículo

La versión final de este artículo es de uso interno de la institución.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in [1], are parameterized by two real numbers (b,m) in such a way that the corresponding central charges c (b,m) are given by c (b,m) = 3+6(b+b -1(1-m)) 2. For the disk geometry, we explicitly compute the expectation value of a bulk vertex operator in the case m ∈ ℤ, such that the result reduces to the Liouville one-point function when m = 0. We perform the calculation of the disk one-point function in two different ways, obtaining results in perfect agreement, and giving the details of both the path integral and the free field derivations. © SISSA 2010.

Registro:

Documento: Artículo
Título:Disk one-point function for a family of non-rational conformal theories
Autor:Babaro, J.P.; Giribet, G.
Filiación:Departamento de Física, Universidad de Buenos Aires FCEN-UBA, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina
Instituto de Física de Buenos Aires IFIBA-CONICET, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina
Palabras clave:Conformal and W symmetry; Conformal field models in string theory
Año:2010
Volumen:2010
Número:9
DOI: http://dx.doi.org/10.1007/JHEP09(2010)077
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2010_n9_p_Babaro

Referencias:

  • Ribault, S., A family of solvable non-rational conformal field theories (2008) JHEP, 5, p. 073. , hep-th/08032099
  • Cardy, J., Conformal invariance and surface critical behavior (1984) Nucl. Phys. B, 240, p. 514
  • Cardy, J.L., Effect of Boundary Conditions on the Operator Content of Two-Dimensional Conformally Invariant Theories (1986) Nucl. Phys. B, 275, p. 200
  • Cardy, J.L., Boundary conditions, fusion rules and the Verlinde formula (1989) Nucl. Phys. B, 324, p. 581
  • Fateev, V., Zamolodchikov, A.B., Zamolodchikov, A.B., Boundary Liouville Field Theory. I: Boundary State and Boundary Two-point Function, , hep-th/0001012
  • Zamolodchikov, A.B., Zamolodchikov, A.B., Liouville Field Theory on a Pseudosphere, , hep-th/0101152
  • Schweigert, C., Fuchs, J., Walcher, J., Conformal Field Theory, Boundary Conditions and Applications to String Theory, , hep-th/0011109
  • Petkova, V.B., Zuber, J.-B., Conformal Boundary Conditions and What They Teach Us, , hep-th/0103007
  • Schomerus, V., Non-compact String Backgrounds and Non-rational CFT (2006) Phys. Rept, 431, p. 39. , hep-th/0509155
  • Nakayama, Y., Liouville field theory: A decade after the revolution (2004) Int. J. Mod. Phys. A, 19, p. 2771. , hep-th/0402009
  • Giribet, G., Nakayama, Y., Nicolás, L., The Langlands duality in Liouville-H (+) 3 WZNW correspondence (2009) Int. J. Mod. Phys. A, 24, p. 3137. , hep-th/08051254
  • Fateev, V., Ribault, S., Boundary action of the H + (3) model (2008) JHEP, 2, p. 024. , hep-th/07102093
  • Teschner, J., Remarks on Liouville Theory with Boundary, , hep-th/0009138
  • Hikida, Schomerus, V., H + (3)-WZNW model from Liouville field theory (2007) JHEP, 10, p. 064. , hep-th/07061030
  • Hikida, Y., Schomerus, V., Structure constants of the OSP (1|2) WZNW model (2007) JHEP, 12, p. 100. , hep-th/07110338
  • Wakimoto, M., Fock representations of the affine Lie algebra A 1 (1) (1986) Commun. Math. Phys., 104, p. 605
  • Ponsot, B., Schomerus, V., Teschner, J., Branes in the euclidean AdS 3 (2002) JHEP, 2, p. 016. , hep-th/0112198
  • Ribault, S., Discrete D-branes in AdS 3 and in the 2D black hole (2006) JHEP, 8, p. 015. , hep-th/0512238
  • Hosomichi, K., Ribault, S., Solution of the H (3) + model on a disc (2007) JHEP, 1, p. 057. , hep-th/0610117
  • Ribault, S., Boundary three-point function on AdS 2 D-branes (2008) JHEP, 1, p. 004. , hep-th/07083028
  • Hosomichi, K., A correspondence between H (3) + WZW and Liouville theories on discs (2007) Nucl. Phys. Proc. Suppl., 171, p. 284. , hep-th/0701260
  • Giribet, G., Núñez, C.A., Correlators in AdS 3 string theory (2001) JHEP, 6, p. 010. , hep-th/0105200
  • Becker, K., Becker, M., Interactions in the SL (2, IR)/U (1) black hole background (1994) Nucl. Phys. B, 418, p. 206. , hep-th/9310046
  • Hosomichi, K., Okuyama, K., Satoh, Y., Free field approach to string theory on AdS 3 (2001) Nucl. Phys. B, 598, p. 451. , hep-th/0009107
  • Teschner, J., Liouville theory revisited (2001) Class. Quant. Grav., 18, pp. R153. , hep-th/0104158
  • Teschner, J., A lecture on the Liouville vertex operators (2004) Int. J. Mod. Phys. A, 19 S2, p. 436. , hep-th/0303150
  • Stoyanovsky, A.V., A Relation Between the Knizhnik-Zamolodchikov and Belavin-Polyakov- Zamolodchikov Systems of Partial Differential Equations, , math-ph/0012013
  • Ribault, S., Teschner, J., H (3) + WZNW correlators from Liouville theory (2005) JHEP, 6, p. 014. , hep-th/0502048
  • Ribault, S., Knizhnik-Zamolodchikov equations and spectral flow in AdS 3 string theory (2005) JHEP, 9, p. 045. , hep-th/0507114
  • Stanciu, S., D-branes in an AdS 3 background (1999) JHEP, 9, p. 028. , hep-th/9901122
  • Bachas, C., Petropoulos, M., Anti-de-Sitter D-branes (2001) JHEP, 2, p. 025. , hep-th/0012234
  • Lee, P., Ooguri, H., Park, J.-W., Tannenhauser, J., Open strings on AdS 2 branes (2001) Nucl. Phys. B, 610, p. 3. , hep-th/0106129
  • Parnachev, A., Sahakyan, D.A., Some remarks on D-branes in AdS 3 (2001) JHEP, 10, p. 022. , hep-th/0109150
  • Israel, D., D-branes in lorentzian AdS 3 (2005) JHEP, 6, p. 008. , hep-th/0502159
  • Giribet, G., The string theory on AdS 3 as a marginal deformation of a linear dilaton background (2006) Nucl. Phys. B, 737, p. 209. , hep-th/0511252
  • Hikida, Y., Schomerus, V., The FZZ-duality conjecture: A proof (2009) JHEP, 3, p. 95. , hep-th/08053931
  • Alday, L.F., Gaiotto, D., Tachikawa, Y., Liouville correlation functions from four-dimensional gauge theories (2010) Lett. Math. Phys., 91, p. 167. , arXiv:0906.3219
  • Alday, L.F., Gaiotto, D., Gukov, S., Tachikawa, Y., Verlinde, H., Loop and surface operators in N = 2 gauge theory and Liouville modular geometry (2010) JHEP, 1, p. 113. , arXiv:0909.0945
  • Drukker, N., Gomis, J., Okuda, T., Teschner, J., Gauge theory loop operators and Liouville theory (2010) JHEP, 2, p. 057. , arXiv:0909.1105

Citas:

---------- APA ----------
Babaro, J.P. & Giribet, G. (2010) . Disk one-point function for a family of non-rational conformal theories. Journal of High Energy Physics, 2010(9).
http://dx.doi.org/10.1007/JHEP09(2010)077
---------- CHICAGO ----------
Babaro, J.P., Giribet, G. "Disk one-point function for a family of non-rational conformal theories" . Journal of High Energy Physics 2010, no. 9 (2010).
http://dx.doi.org/10.1007/JHEP09(2010)077
---------- MLA ----------
Babaro, J.P., Giribet, G. "Disk one-point function for a family of non-rational conformal theories" . Journal of High Energy Physics, vol. 2010, no. 9, 2010.
http://dx.doi.org/10.1007/JHEP09(2010)077
---------- VANCOUVER ----------
Babaro, J.P., Giribet, G. Disk one-point function for a family of non-rational conformal theories. J. High Energy Phys. 2010;2010(9).
http://dx.doi.org/10.1007/JHEP09(2010)077