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Abstract:

Lorentzian continuation of the Sine-Liouville model describes non-homogeneous rolling closed string tachyon. Via T-duality, this relates to the gauged H+ 3 Wess-Zumino-Witten model at subcritical level. This model is exactly solvable. We give a closed formula for the 3-point correlation functions for the model at level k within the range 0 < k < 2, which relates to the analogous quantity for k > 2 in a similar way as how the Harlow-Maltz-Witten 3-point function of timelike Liouville field theory relates to the analytic continuation of the Dorn-Otto-Zamolodchikov-Zamolodchikov structure constants: we find that the ratio between both 3-point functions can be written in terms of quotients of Jacobi’s θ-functions, while their product exhibits remarkable cancellations and eventually factorizes. Our formula is consistent with previous proposals made in the literature. © 2017, The Author(s).

Registro:

Documento: Artículo
Título:On non-homogeneous tachyon condensation in closed string theory
Autor:Giribet, G.; Rado, L.
Filiación:Departamento de Física, Universidad de Buenos Aires and IFIBA-CONICET, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Martin Fisher School of Physics, Brandeis University, 415 South Street, Waltham, MA 02453, United States
Instituto de Física, Universidade de São Paulo, Rua do Matão Travessa 1371, São Paulo, SP 05508-090, Brazil
Palabras clave:Bosonic Strings; Conformal Field Models in String Theory; Tachyon Condensation
Año:2017
Volumen:2017
Número:8
DOI: http://dx.doi.org/10.1007/JHEP08(2017)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_v2017_n8_p_Giribet

Referencias:

  • Sen, A., Rolling tachyon (2002) JHEP, 4, p. 48. , hep-th/0203211] [INSPIRE
  • Sen, A., Tachyon matter (2002) JHEP, 7, p. 65. , hep-th/0203265] [INSPIRE
  • Sen, A., Tachyons in string theory (2003) Annales Henri Poincaré, 4, p. S31. , INSPIRE
  • Sen, A., Rolling tachyon boundary state, conserved charges and two-dimensional string theory (2004) JHEP, 5, p. 76. , hep-th/0402157] [INSPIRE
  • Adams, A., Polchinski, J., Silverstein, E., Don’t panic! Closed string tachyons in ALE space-times (2001) JHEP, 10, p. 29. , hep-th/0108075] [INSPIRE
  • Headrick, M., Minwalla, S., Takayanagi, T., Closed string tachyon condensation: an overview (2004) Class. Quant. Grav, 21, p. S1539. , hep-th/0405064] [INSPIRE
  • Martinec, E.J., Defects, decay and dissipated states, , hep-th/0210231 [INSPIRE]
  • Carneiro da Cunha, B., Martinec, E.J., Closed string tachyon condensation and world sheet inflation (2003) Phys. Rev, 500. , hep-th/0303087] [INSPIRE
  • Strominger, A., Open string creation by S branes (2002) Conf. Proc, 100, p. 20. , hep-th/0209090] [INSPIRE
  • Gutperle, M., Strominger, A., Time-like boundary Liouville theory (2003) Phys. Rev, 500, p. 126002. , hep-th/0301038] [INSPIRE
  • Larsen, F., Naqvi, A., Terashima, S., Rolling tachyons and decaying branes (2003) JHEP, 2, p. 39. , hep-th/0212248] [INSPIRE
  • Constable, N.R., Larsen, F., The rolling tachyon as a matrix model (2003) JHEP, 6, p. 17. , hep-th/0305177] [INSPIRE
  • Karczmarek, J.L., Strominger, A., Closed string tachyon condensation at c = 1 (2004) JHEP, 5, p. 62. , hep-th/0403169] [INSPIRE
  • Karczmarek, J.L., Maloney, A., Strominger, A., Hartle-Hawking vacuum for c = 1 tachyon condensation (2004) JHEP, 12, p. 27. , hep-th/0405092] [INSPIRE
  • Strominger, A., Takayanagi, T., Correlators in time-like bulk Liouville theory (2003) Adv. Theor. Math. Phys, 7, p. 369. , hep-th/0303221] [INSPIRE
  • Schomerus, V., Rolling tachyons from Liouville theory (2003) JHEP, 11, p. 43. , hep-th/0306026] [INSPIRE
  • Freedman, D.Z., Headrick, M., Lawrence, A., On closed string tachyon dynamics (2006) Phys. Rev, 500. , hep-th/0510126] [INSPIRE
  • Ribault, S., Santachiara, R., Liouville theory with a central charge less than one (2015) JHEP, 8, p. 109. , arXiv:1503.02067] [INSPIRE
  • Harlow, D., Maltz, J., Witten, E., Analytic continuation of Liouville theory (2011) JHEP, 12, p. 71. , arXiv:1108.4417] [INSPIRE
  • Giribet, G., On the timelike Liouville three-point function (2012) Phys. Rev, 500. , arXiv:1110.6118] [INSPIRE
  • Schomerus, V., Suchanek, P., Liouville’s imaginary shadow (2012) JHEP, 12, p. 20. , arXiv:1210.1856] [INSPIRE
  • Picco, M., Santachiara, R., Viti, J., Delfino, G., Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator (2013) Nucl. Phys, B 875, p. 719. , arXiv:1304.6511] [INSPIRE
  • McElgin, W., Notes on Liouville theory at c ≤ 1 (2008) Phys. Rev, 500. , arXiv:0706.0365] [INSPIRE
  • Schomerus, V., Suchanek, P., Liouville’s imaginary shadow (2012) JHEP, 12, p. 20. , arXiv:1210.1856] [INSPIRE
  • Picco, M., Santachiara, R., Viti, J., Delfino, G., Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator (2013) Nucl. Phys, B 875, p. 719. , arXiv:1304.6511] [INSPIRE
  • Hikida, Y., Takayanagi, T., On solvable time-dependent model and rolling closed string tachyon (2004) Phys. Rev, 500, p. 126013. , hep-th/0408124] [INSPIRE
  • Fateev, V., Zamolodchikov, A.B., Al. Zamolodchikov, unpublished
  • Kazakov, V., Kostov, I.K., Kutasov, D., A matrix model for the two-dimensional black hole (2002) Nucl. Phys, B 622, p. 141. , hep-th/0101011] [INSPIRE
  • Hikida, Y., Schomerus, V., The FZZ-duality conjecture: a proof (2009) JHEP, 3, p. 95. , arXiv:0805.3931] [INSPIRE
  • Hori, K., Kapustin, A., Duality of the fermionic 2D black hole and N = 2 Liouville theory as mirror symmetry (2001) JHEP, 8, p. 45. , hep-th/0104202] [INSPIRE
  • Zamolodchikov, A.B., (2005) Three-point function in the minimal Liouville gravity, Theor. Math. Phys. 142, , 183 [Teor. Mat. Fiz. 142 (2005) 218] [hep-th/0505063] [INSPIRE]
  • Kostov, I.K., Petkova, V.B., (2006) Bulk correlation functions in 2D quantum gravity, Theor. Math. Phys. 146, , 108 [Teor. Mat. Fiz. 146 (2006) 132] [hep-th/0505078] [INSPIRE]
  • Kostov, I.K., Petkova, V.B., Non-rational 2D quantum gravity I. World sheet CFT (2007) Nucl. Phys. B, 770, p. 273. , hep-th/0512346] [INSPIRE], and
  • Kostov, I.K., Petkova, V.B., Non-rational 2D quantum gravity II. Target space CFT (2007) Nucl. Phys. B, 769, p. 175. , hep-th/0609020] [INSPIRE], and
  • 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] [INSPIRE
  • Giribet, G., Núñez, C.A., Aspects of the free field description of string theory on AdS3 (2000) JHEP, 6, p. 33. , hep-th/0006070] [INSPIRE
  • Giribet, G., Núñez, C.A., Correlators in AdS3 string theory (2001) JHEP, 6, p. 10. , hep-th/0105200] [INSPIRE
  • Giribet, G., Nakayama, Y., The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes (2006) Int. J. Mod. Phys, A 21, p. 4003. , hep-th/0505203] [INSPIRE
  • Ribault, S., Private communication
  • Ribault, S., Conformal field theory on the plane, , arXiv:1406.4290 [INSPIRE]
  • Dotsenko, V.S., Fateev, V.A., 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. , INSPIRE
  • Fukuda, T., Hosomichi, K., Three point functions in sine-Liouville theory (2001) JHEP, 9, p. 3. , hep-th/0105217] [INSPIRE
  • Giribet, G., Stringy horizons and generalized FZZ duality in perturbation theory (2017) JHEP, 2, p. 69. , arXiv:1611.03945] [INSPIRE
  • Giribet, G., Ranjbar, A., Screening stringy horizons (2015) Eur. Phys. J, 100, p. 490. , arXiv:1504.05044] [INSPIRE
  • Maldacena, J.M., Ooguri, H., (2002) Strings in AdS 3 and the SL(2, R) WZW model Part 3. Correlation functions, Phys. Rev. D 65, , 106006 [hep-th/0111180] [INSPIRE]
  • Hosomichi, K., Okuyama, K., Satoh, Y., Free field approach to string theory on AdS3 (2001) Nucl. Phys, B 598, p. 451. , hep-th/0009107] [INSPIRE
  • Dorn, H., Otto, H.J., Two and three point functions in Liouville theory (1994) Nucl. Phys, B 429, p. 375. , hep-th/9403141] [INSPIRE
  • Zamolodchikov, A.B., Zamolodchikov, A.B., Structure constants and conformal bootstrap in Liouville field theory (1996) Nucl. Phys, B 477, p. 577. , hep-th/9506136] [INSPIRE
  • 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] [INSPIRE
  • Dotsenko, V.S., Three point correlation functions of the minimal conformal theories coupled to 2D gravity (1991) Mod. Phys. Lett, A 6, p. 3601. , INSPIRE
  • Goulian, M., Li, M., Correlation functions in Liouville theory (1991) Phys. Rev. Lett, 66, p. 2051. , INSPIRE
  • Di Francesco, P., Kutasov, D., World sheet and space-time physics in two-dimensional (super)string theory (1992) Nucl. Phys, B 375, p. 119. , hep-th/9109005] [INSPIRE
  • Giribet, G., Nicolás, L., Comment on three-point function in AdS3/CFT2 (2009) J. Math. Phys, 50. , arXiv:0812.2732] [INSPIRE
  • Dabholkar, A., Pakman, A., Exact chiral ring of AdS3/CFT2 (2009) Adv. Theor. Math. Phys, 13, p. 409. , hep-th/0703022] [INSPIRE
  • Giribet, G., Pakman, A., Rastelli, L., Spectral flow in AdS3/CFT2 (2008) JHEP, 6, p. 13. , arXiv:0712.3046] [INSPIRE

Citas:

---------- APA ----------
Giribet, G. & Rado, L. (2017) . On non-homogeneous tachyon condensation in closed string theory. Journal of High Energy Physics, 2017(8).
http://dx.doi.org/10.1007/JHEP08(2017)015
---------- CHICAGO ----------
Giribet, G., Rado, L. "On non-homogeneous tachyon condensation in closed string theory" . Journal of High Energy Physics 2017, no. 8 (2017).
http://dx.doi.org/10.1007/JHEP08(2017)015
---------- MLA ----------
Giribet, G., Rado, L. "On non-homogeneous tachyon condensation in closed string theory" . Journal of High Energy Physics, vol. 2017, no. 8, 2017.
http://dx.doi.org/10.1007/JHEP08(2017)015
---------- VANCOUVER ----------
Giribet, G., Rado, L. On non-homogeneous tachyon condensation in closed string theory. J. High Energy Phys. 2017;2017(8).
http://dx.doi.org/10.1007/JHEP08(2017)015