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Abstract:

The Coulomb gas representation of expectation values in SU(2) conformal field theory developed by Dotsenko is extended to the SL(2, ℝ) WZW model and applied to bosonic string theory on AdS 3 and to Type II superstrings on AdS 3 × N. The spectral flow symmetry is included in the free field realization of vertex operators creating superstring states of both Ramond and Neveu-Schwarz sectors. Conjugate representations for these operators are constructed and a background charge prescription is designed to compute correlation functions. Two and three point functions of bosonic and fermionic string states in arbitrary winding sectors are calculated. Scattering amplitudes that violate winding number conservation are also discussed. © SISSA/ISAS 2004.

Registro:

Documento: Artículo
Título:Free field realization of superstring theory on AdS 3
Autor:Hofman, D.M.; Núñz, C.A.
Filiación:Instituto de Astronomía y Física del Espacio (IAFE), C.C. 67 - Suc. 28, 1428 Buenos Aires, Argentina
Physics Department, University of Buenos Aires, Argentina
Palabras clave:AdS-CFT and dS-CFT Correspondence; Conformal Field Models in String Theory; Superstrings and Heterotic Strings
Año:2004
Volumen:8
Número:7
Página de inicio:391
Página de fin:428
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:10298479
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v8_n7_p391_Hofman

Referencias:

  • Dixon, L.J., Peskin, M.E., Lykken, J., N=2 superconformal symmetry and SO(2,1) current algebra (1989) Nucl. Phys. B, 325, p. 329
  • Witten, E., On string theory and black holes (1991) Phys. Rev. D, 44, p. 314
  • Bañados, M., Teitelboim, C., Zanelli, J., The black hole in three-dimensional space-time (1992) Phys. Rev. Lett., 69, p. 1849. , [hep-th/9204099]
  • Bañados, M., Henneaux, M., Teitelboim, C., Zanelli, J., Geometry of the (2+1) black hole (1993) Phys. Rev. D, 48, p. 1506. , [gr-qc/9302012]
  • Polyakov, A.M., Quantum gravity in two-dimensions (1987) Mod. Phys. Lett. A, 2, p. 893
  • Seiberg, N., Notes on quantum Liouville theory and quantum gravity (1990) Prog. Theor. Phys. Suppl., 102, p. 319
  • Ooguri, H., Vafa, C., Two-dimensional black hole and singularities of CY manifolds (1996) Nucl. Phys. B, 463, p. 55. , [hep-th/9511164]
  • Giveon, A., Kutasov, D., Comments on double scaled little string theory (2000) J. High Energy Phys., 1, p. 023. , [hep-th/9911039]
  • Little string theory in a double scaling limit (1999) J. High Energy Phys., 10, p. 034. , [hep-th/9909110]
  • Aharony, O., Giveon, A., Kutasov, D., LSZ in LST, , hep-th/0404016
  • Mohammedi, N., On the unitarity of string propagation on SU(1,1) (1990) Int. J. Mod. Phys. A, 5, p. 3201
  • Petropoulos, P.M.S., Comments on SU(1,1) string theory (1990) Phys. Lett. B, 236, p. 151
  • Henningson, M., Hwang, S., The unitarity of SU(1,1) fermionic strings (1991) Phys. Lett. B, 258, p. 341
  • Henningson, M., Hwang, S., Roberts, P., Sundborg, B., Modular invariance of SU(1,1) strings (1991) Phys. Lett. B, 267, p. 350
  • Hwang, S., Roberts, P., Interaction and Modular Invariance of Strings on Curved Manifolds, , hep-th/9211075
  • Hwang, S., No ghost theorem for SU(1,1) string theories (1991) Nucl. Phys. B, 354, p. 100
  • Cosets as gauge slices in SU(1,1) strings (1992) Phys. Lett. B, 276, p. 451. , [hep-th/9110039]
  • Bars, I., Nemeschansky, D., String propagation in backgrounds with curved space-time (1991) Nucl. Phys. B, 348, p. 89
  • Bars, I., Ghost-free spectrum of a quantum string in SL(2, ℝ) curved space-time (1996) Phys. Rev. D, 53, p. 3308. , [hep-th/9503205]
  • Petropoulos, P.M., String Theory on AdS 3: Some Open Questions, , hep-th/9908189
  • Giribet, G., Núñez, C., Interacting strings on AdS 3 (1999) J. High Energy Phys., 11, p. 031. , [hep-th/9909149]
  • Maldacena, J.M., The large-N limit of superconformal field theories and supergravity (1998) Adv. Theor. Math. Phys., 2, p. 231. , [hep-th/9711200]
  • Giveon, A., Kutasov, D., Seiberg, N., Comments on string theory on AdS 3 (1998) Adv. Theor. Math. Phys., 2, p. 733. , [hep-th/9806194]
  • Kutasov, D., Seiberg, N., More comments on string theory on AdS 3 (1999) J. High Energy Phys., 4, p. 008. , [hep-th/9903219]
  • Maldacena, J.M., Ooguri, H., Strings in AdS 3 and the SL(2,ℝ) WZW model, III. Correlation functions (2002) Phys. Rev. D, 65, p. 106006. , [hep-th/0111180]
  • Maldacena, J.M., Ooguri, H., Strings in AdS 3 and SL(2,ℝ) WZW model, i (2001) J. Math. Phys., 42, p. 2929. , [hep-th/0001053]
  • Maldacena, J.M., Ooguri, H., Son, J., Strings in AdS 3 and the SL(2,ℝ) WZW model, II. Euclidean black hole (2001) J. Math. Phys., 42, p. 2961. , [hep-th/0005183]
  • Israel, D., Kounnas, C., Petropoulos, M.P., Superstrings on NS5 backgrounds, deformed AdS 3 and holography (2003) J. High Energy Phys., 10, p. 028. , [hep-th/0306053]
  • Gawȩdzki, K., Noncompact WZW Conformal Field Theories, , hep-th/9110076
  • Ishibashi, N., Okuyama, K., Satoh, Y., Path integral approach to string theory on AdS 3 (2000) Nucl. Phys. B, 588, p. 149. , [hep-th/0005152]
  • 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., 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]
  • Operator product expansion and factorization in the H 3 +-WZNW model (2000) Nucl. Phys. B, 571, p. 555. , [hep-th/9906215]
  • Crossing symmetry in the H 3 + WZNW model (2001) Phys. Lett. B, 521, p. 127. , [hep-th/0108121]
  • Giveon, A., Kutasov, D., Notes on AdS 3 (2002) Nucl. Phys. B, 621, p. 303. , [hep-th/0106004]
  • Giribet, G., Núñez, C., Aspects of the free field description of string theory on AdS 3 (2000) J. High Energy Phys., 6, p. 033. , [hep-th/0006070]
  • Giribet, G., Núñez, C., Correlators in AdS 3 string theory (2001) J. High Energy Phys., 6, p. 010. , [hep-th/0105200]
  • Dotsenko, V.S., The free field representation of the SU(2) conformal field theory (1990) Nucl. Phys. B, 338, p. 747
  • Solving the SU(2) conformal field theory with the Wakimoto free field representation (1991) Nucl. Phys. B, 358, p. 547
  • Petersen, J.L., Rasmussen, J., Yu, M., Conformal blocks for admissible representations in SL(2) current algebra (1995) Nucl. Phys. B, 457, p. 309. , [hep-th/9504127]
  • Fusion, crossing and monodromy in conformal field theory based on sl(2) current algebra with fractional level (1996) Nucl. Phys. B, 481, p. 577. , [hep-th/9607129]
  • Andreev, O., Operator algebra of the SL(2) conformal field theories (1995) Phys. Lett. B, 363, p. 166. , [hep-th/9504082]
  • Furlan, P., Ganchev, A.C., Paunov, R., Petkova, V.B., Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models (1993) Nucl. Phys. B, 394, p. 665. , [hep-th/9201080]
  • Furlan, P., Ganchev, A.C., Petkova, V.B., A 1 (1) admissible representations - Fusion transformations and local correlators (1997) Nucl. Phys. B, 491, p. 635. , [hep-th/9608018]
  • Becker, K., Becker, M., Interactions in the SL(2,ℝ)/U(1) black hole background (1994) Nucl. Phys. B, 418, p. 206. , [hep-th/9310046]
  • Bianchi, M., D'Appollonio, G., Kiritsis, E., Zapata, O., String amplitudes in the HPP-wave limit of AdS 3 × S 3 (2004) J. High Energy Phys., 4, p. 074. , [hep-th/0402004]
  • David, F., Conformal field theories coupled to 2D gravity in the conformal gauge (1988) Mod. Phys. Lett. A, 3, p. 1651
  • Distler, J., Kawai, H., Conformal field theory and 2D quantum gravity or who's afraid of Joseph Liouville? (1989) Nucl. Phys. B, 321, p. 509
  • Wakimoto, M., Fock representations of the affine lie algebra A 1 (1) (1986) Commun. Math. Phys., 104, p. 605
  • Satoh, Y., Ghost-free and modular invariant spectra of a string in SL(2,ℝ) and three-dimensional black hole geometry (1998) Nucl. Phys. B, 513, p. 213. , [hep-th/9705208]
  • Mizoguchi, S., Modular invariant critical superstrings on four-dimensional minkowski space × two-dimensional black hole (2000) J. High Energy Phys., 4, p. 014. , [hep-th/0003053]
  • Hikida, Y., Hosomichi, K., Sugawara, Y., String theory on AdS 3 as discrete light-cone Liouville theory (2000) Nucl. Phys. B, 589, p. 134. , [hep-th/0005065]
  • Evans, J.M., Gaberdiel, M.R., Perry, M.J., The no-ghost theorem for AdS 3 and the stringy exclusion principle (1998) Nucl. Phys. B, 535, p. 152. , [hep-th/9806024]
  • Dijkgraaf, R., Verlinde, H., Verlinde, E., String propagation in a black hole geometry (1992) Nucl. Phys. B, 371, p. 269
  • Gepner, D., Space-time supersymmetry in compactified string theory and superconformal models (1988) Nucl. Phys. B, 296, p. 757
  • Dotsenko, V.S., Fateev, V.A., Conformal algebra and multipoint correlation functions in 2D statistical models (1984) Nucl. Phys. B, 240, p. 312
  • Four point correlation functions and the operator algebra in the two-dimensional conformal invariant theories with the central charge C < 1 (1985) Nucl. Phys. B, 251, p. 691
  • Feigin, B.L., Frenkel, E.V., Representations of affine Kac-Moody algebras, bosonization and resolutions (1990) Lett. Math. Phys., 19, p. 307
  • Bershadsky, M., Ooguri, H., Hidden SL(N) symmetry in conformal field theories (1989) Commun. Math. PHYS., 126, p. 49
  • V. Fateev, A. Zamolodchikov and Al. Zamolodchikov, unpublished notes; Di Vecchia, P., Knizhnik, V.G., Petersen, J.L., Rossi, P., A supersymmetric Wess-Zumino lagrangian in two-dimensions (1985) Nucl. Phys. B, 253, p. 701
  • Kazama, Y., Suzuki, H., New N = 2 superconformal field theories and superstring compactification (1989) Nucl. Phys. B, 321, p. 232
  • Kutasov, D., Larsen, F., Leigh, R.G., String theory in magnetic monopole backgrounds (1999) Nucl. Phys. B, 550, p. 183. , [hep-th/9812027]
  • Elitzur, S., Feinerman, O., Giveon, A., Tsabar, D., String theory on AdS 3 × S 3 × S 3 × S 1 (1999) Phys. Lett. B, 449, p. 180. , [hep-th/9811245]
  • Gukov, S., Martinec, E., Moore, G., Strominger, A., The Search for A Holographic Dual to AdS 3 × S 3 × S 3 × S 1, , hep-th/0403090
  • Lu, H., Vazquez-Poritz, J.F., Penrose limits of non-standard brane intersections (2002) Class, and Quant. Grav., 19, p. 4059. , [hep-th/0204001]
  • Giveon, A., Roček, M., Supersymmetric string vacua on AdS 3 × N (1999) J. High Energy Phys., 4, p. 019. , [hep-th/9904024]
  • Berenstein, D., Leigh, R.G., Spacetime supersymmetry in AdS 3 backgrounds (1999) Phys. Lett. B, 458, p. 297. , [hep-th/9904040]
  • Giveon, A., Pakman, A., More on superstrings in AdS 3 × N (2003) J. High Energy Phys., 3, p. 056. , [hep-th/0302217]
  • Friedan, D., Martinec, E.J., Shenker, S.H., Conformal invariance, supersymmetry and string theory (1986) Nucl. Phys. B, 271, p. 93
  • Argurio, R., Giveon, A., Shomer, A., Superstrings on AdS 3 and symmetric products (2000) J. High Energy Phys., 12, p. 003. , [hep-th/0009242]
  • String theory on AdS 3 and symmetric products (2001) Fortschr. Phys., 49, p. 409. , [hep-th/0012117]
  • Lopez, D., (2001) Interacciones de Supercuerdas Sobre AdS 3, , Lic. Thesis, Physics Department, UBA
  • Giveon, A., Konechny, A., Pakman, A., Sever, A., Type 0 strings in a 2D black hole (2003) J. High Energy Phys., 10, p. 025. , [hep-th/0309056]

Citas:

---------- APA ----------
Hofman, D.M. & Núñz, C.A. (2004) . Free field realization of superstring theory on AdS 3. Journal of High Energy Physics, 8(7), 391-428.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v8_n7_p391_Hofman [ ]
---------- CHICAGO ----------
Hofman, D.M., Núñz, C.A. "Free field realization of superstring theory on AdS 3" . Journal of High Energy Physics 8, no. 7 (2004) : 391-428.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v8_n7_p391_Hofman [ ]
---------- MLA ----------
Hofman, D.M., Núñz, C.A. "Free field realization of superstring theory on AdS 3" . Journal of High Energy Physics, vol. 8, no. 7, 2004, pp. 391-428.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v8_n7_p391_Hofman [ ]
---------- VANCOUVER ----------
Hofman, D.M., Núñz, C.A. Free field realization of superstring theory on AdS 3. J. High Energy Phys. 2004;8(7):391-428.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v8_n7_p391_Hofman [ ]