Abstract:
We calculate some extremal and non-extremal four-point functions on the sphere of certain chiral primary operators for strings on AdS 3×S3×T4. The computation is done for small values of the spacetime cross-ratio where global SL(2) and SU(2) descendants may be neglected in the intermediate channel. Ignoring also current algebra descendants, we find that in the non-extremal case the integrated worldsheet correlators factorize into spacetime three-point functions, which is non-trivial due to the integration over the moduli space. We then restrict to the extremal case and compare our results with the four-point correlators recently computed in the dual boundary theory. We also discuss a particular non-extremal correlator involving two chiral and two anti-chiral operators.
Registro:
Documento: |
Artículo
|
Título: | Worldsheet four-point functions in AdS3/CFT2 |
Autor: | Cardona, C.A.; Kirsch, I. |
Filiación: | Instituto de Astronomía y Física del Espacio, CONICET-UBA, C. C. 67 - Suc. 28, 1428 Buenos Aires, Argentina DESY Hamburg, Theory Group, Notkestrasse 85, D-22607 Hamburg, Germany
|
Palabras clave: | AdS-CFT correspondence; Conformal field models in string theory; Sigma models |
Año: | 2011
|
Volumen: | 2011
|
Número: | 1
|
DOI: |
http://dx.doi.org/10.1007/JHEP01(2011)015 |
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_v2011_n1_p_Cardona |
Referencias:
- Maldacena, J.M., The large-N limit of superconformal field theories and supergravity (1999) Int. J. Theor. Phys., 38, p. 1113
- (1998) Adv. Theor. Math. Phys., 2, p. 231. , hep-th/9711200
- Gaberdiel, M.R., Kirsch, I., Worldsheet correlators in AdS3/CFT2 (2007) JHEP, 4, p. 050. , hep-th/0703001
- Dabholkar, A., Pakman, A., Exact chiral ring of AdS3/CFT2 (2009) Adv. Theor. Math. Phys., 13, p. 409. , hep-th/0703022
- Pakman, A., Sever, A., Exact N = 4 correlators of AdS3/CFT2 (2007) Phys. Lett. B, 652, p. 60. , arXiv:0704.3040
- Jevicki, A., Mihailescu, M., Ramgoolam, S., Gravity from CFT on SN (X): Symmetries and interactions (2000) Nucl. Phys. B, 577, p. 47. , hep-th/9907144
- Lunin, O., Mathur, S.D., Correlation functions for M (N)/S (N) orbifolds (2001) Commun. Math. Phys., 219, p. 399. , hep-th/0006196
- Lunin, O., Mathur, S.D., Three-point functions for M (N)/S (N) orbifolds with N = 4 supersymmetry (2002) Commun. Math. Phys., 227, p. 385. , hep-th/0103169
- Cardona, C.A., Núñez, C.A., Three-point functions in superstring theory on AdS3 × S3 × T4 (2009) JHEP, 6, p. 009. , arXiv:0903.2001
- Giribet, G., Pakman, A., Rastelli, L., Spectral flow in AdS3/CFT2 (2008) JHEP, 6, p. 013. , arXiv:0712.3046
- Taylor, M., Matching of correlators in AdS3/CFT2 (2008) JHEP, 6, p. 010. , arXiv:0709.1838
- Mihailescu, M., Correlation functions for chiral primaries in D = 6 supergravity on AdS3 × S3 (2000) JHEP, 2, p. 007. , hep-th/9910111
- Arutyunov, G., Pankiewicz, A., Theisen, S., Cubic couplings in D = 6 N = 4b supergravity on AdS3 × S3 (2001) Phys. Rev. D, 63, p. 044024. , hep-th/0007061
- Pankiewicz, A., (2000) Six-dimensional Supergravities and the AdS/CFT Correspondence, , Diploma Thesis, University of Munich, Munich Germany
- De Boer, J., Manschot, J., Papadodimas, K., Verlinde, E., The chiral ring of AdS3/CFT2 and the attractor mechanism (2009) JHEP, 3, p. 030. , arXiv:0809.0507
- Maldacena, J.M., Ooguri, H., Strings in AdS3 and the SL (2, R) WZW model. III: Correlation functions (2002) Phys. Rev. D, 65, p. 106006. , hep-th/0111180
- Aharony, O., Komargodski, Z., The space-time operator product expansion in string theory duals of field theories (2008) JHEP, 1, p. 064. , arXiv:0711.1174
- Pakman, A., Rastelli, L., Razamat, S.S., Extremal correlators and Hurwitz numbers in symmetric product orbifolds (2009) Phys. Rev. D, 80, p. 086009. , arXiv:0905.3451
- Kutasov, D., Larsen, F., Leigh, R.G., String theory in magnetic monopole backgrounds (1999) Nucl. Phys. B, 550, p. 183. , hep-th/9812027
- Argurio, R., Giveon, A., Shomer, A., Superstrings on AdS3 and symmetric products (2000) JHEP, 12, p. 003. , hep-th/0009242
- Giveon, A., Kutasov, D., Seiberg, N., Comments on string theory on AdS3 (1998) Adv. Theor. Math. Phys., 2, p. 733. , hep-th/9806194
- Kutasov, D., Seiberg, N., More comments on string theory on AdS3 (1999) JHEP, 4, p. 008. , hep-th/9903219
- De Boer, J., Ooguri, H., Robins, H., Tannenhauser, J., String theory on AdS3 (1998) JHEP, 12, p. 026. , hep-th/9812046
- Teschner, J., Operator product expansion and factorization in the H3 + WZNW model (2000) Nucl. Phys. B, 571, p. 555. , hep-th/9906215
- Teschner, J., Crossing symmetry in the H3 + WZNW model (2001) Phys. Lett. B, 521, p. 127. , hep-th/0108121
- Teschner, J., On structure constants and fusion rules in the SL (2, C)/SU (2) WZNW model (1999) Nucl. Phys. B, 546, p. 390. , hep-th/9712256
- Teschner, J., Operator product expansion and factorization in the H3 + WZNW model (2000) Nucl. Phys. B, 571, p. 555. , hep-th/9906215
- V. Fateev, A. Zamolodchikov and A. Zamolodchikov, unpublished notes; Zamolodchikov, A.B., Fateev, V.A., Operator algebra and correlation functions in the two-dimensional Wess-Zumino SU (2) × SU (2) chiral model (1986) Sov. J. Nucl. Phys., 43, p. 657
- (1986) Yad. Fiz., 43, p. 1031
- Dotsenko, V.S., The free field representation of the SU (2) conformal field theory (1990) Nucl. Phys. B, 338, p. 747
- Dotsenko, V.S., Solving the SU (2) conformal field theory with the Wakimoto free field representation (1991) Nucl. Phys. B, 358, p. 547
Citas:
---------- APA ----------
Cardona, C.A. & Kirsch, I.
(2011)
. Worldsheet four-point functions in AdS3/CFT2. Journal of High Energy Physics, 2011(1).
http://dx.doi.org/10.1007/JHEP01(2011)015---------- CHICAGO ----------
Cardona, C.A., Kirsch, I.
"Worldsheet four-point functions in AdS3/CFT2"
. Journal of High Energy Physics 2011, no. 1
(2011).
http://dx.doi.org/10.1007/JHEP01(2011)015---------- MLA ----------
Cardona, C.A., Kirsch, I.
"Worldsheet four-point functions in AdS3/CFT2"
. Journal of High Energy Physics, vol. 2011, no. 1, 2011.
http://dx.doi.org/10.1007/JHEP01(2011)015---------- VANCOUVER ----------
Cardona, C.A., Kirsch, I. Worldsheet four-point functions in AdS3/CFT2. J. High Energy Phys. 2011;2011(1).
http://dx.doi.org/10.1007/JHEP01(2011)015