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Case of Q = 1: Pure NS-NS Flux
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On N-spike strings in conformal gauge with NS-NS fluxes

Profile image of Priyadarshini PanditPriyadarshini Pandit

2019, Journal of High Energy Physics

https://doi.org/10.1007/JHEP08(2019)124
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20 pages

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Abstract

The AdS 3 × S 3 string sigma model supported both by NS-NS and R-R fluxes has become a well known integrable model, however a putative dual field theory description remains incomplete. We study the anomalous dimensions of twist operators in this theory via semiclassical string methods. We describe the construction of a multi-cusp closed string in conformal gauge moving in AdS 3 with fluxes, which supposedly is dual to a general higher twist operator. After analyzing the string profiles and conserved charges for the string, we find the exact dispersion relation between the charges in the ‘long’ string limit. This dispersion relation in leading order turns out to be similar to the case of pure RR flux, with the coupling being scaled by a factor that depends on the amount of NS-NS flux turned on. We also analyse the case of pure NS flux, where the dispersion relation simplifies considerably. Furthermore, we discuss the implications of these results at length.

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References (74)

  1. J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
  2. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].
  3. M. Kruczenski, Spiky strings and single trace operators in gauge theories, JHEP 08 (2005) 014 [hep-th/0410226] [INSPIRE].
  4. M. Kruczenski and A.A. Tseytlin, Spiky strings, light-like Wilson loops and pp-wave anomaly, Phys. Rev. D 77 (2008) 126005 [arXiv:0802.2039] [INSPIRE].
  5. R. Ishizeki, M. Kruczenski, A. Tirziu and A.A. Tseytlin, Spiky strings in AdS 3 × S 1 and their AdS-pp-wave limits, Phys. Rev. D 79 (2009) 026006 [arXiv:0812.2431] [INSPIRE].
  6. A. Jevicki and K. Jin, Solitons and AdS string solutions, Int. J. Mod. Phys. A 23 (2008) 2289 [arXiv:0804.0412] [INSPIRE].
  7. A. Jevicki and K. Jin, Moduli dynamics of AdS 3 strings, JHEP 06 (2009) 064 [arXiv:0903.3389] [INSPIRE].
  8. L. Freyhult, M. Kruczenski and A. Tirziu, Spiky strings in the SL(2) Bethe ansatz, JHEP 07 (2009) 038 [arXiv:0905.3536] [INSPIRE].
  9. M. Kruczenski and A. Tirziu, Spiky strings in Bethe Ansatz at strong coupling, Phys. Rev. D 81 (2010) 106004 [arXiv:1002.4843] [INSPIRE].
  10. M. Losi, Spiky strings and the AdS/CFT correspondence, arXiv:1109.5401 [INSPIRE].
  11. A. Banerjee, S. Bhattacharya and K.L. Panigrahi, Spiky strings in κ-deformed AdS, JHEP 06 (2015) 057 [arXiv:1503.07447] [INSPIRE].
  12. J.R. David, G. Mandal and S.R. Wadia, Microscopic formulation of black holes in string theory, Phys. Rept. 369 (2002) 549 [hep-th/0203048] [INSPIRE].
  13. A. Sfondrini, Towards integrability for AdS 3 /CFT 2 , J. Phys. A 48 (2015) 023001 [arXiv:1406.2971] [INSPIRE].
  14. J.R. David and B. Sahoo, Giant magnons in the D1-D5 system, JHEP 07 (2008) 033 [arXiv:0804.3267] [INSPIRE].
  15. J.R. David and B. Sahoo, S-matrix for magnons in the D1-D5 system, JHEP 10 (2010) 112 [arXiv:1005.0501] [INSPIRE].
  16. JHEP08(2019)124
  17. O. Ohlsson Sax, B. Stefański Jr. and A. Torrielli, On the massless modes of the AdS 3 /CFT 2 integrable systems, JHEP 03 (2013) 109 [arXiv:1211.1952] [INSPIRE].
  18. C. Ahn and D. Bombardelli, Exact S-matrices for AdS 3 /CFT 2 , Int. J. Mod. Phys. A 28 (2013) 1350168 [arXiv:1211.4512] [INSPIRE].
  19. P. Sundin and L. Wulff, Worldsheet scattering in AdS 3 /CFT 2 , JHEP 07 (2013) 007 [arXiv:1302.5349] [INSPIRE].
  20. R. Borsato et al., The all-loop integrable spin-chain for strings on AdS 3 × S 3 × T 4 : the massive sector, JHEP 08 (2013) 043 [arXiv:1303.5995] [INSPIRE].
  21. R. Borsato et al., Dressing phases of AdS 3 /CFT 2 , Phys. Rev. D 88 (2013) 066004 [arXiv:1306.2512] [INSPIRE].
  22. R. Borsato, O. Ohlsson Sax, A. Sfondrini and B. Stefanski Jr., Towards the all-loop worldsheet S matrix for AdS 3 × S 3 × T 4 , Phys. Rev. Lett. 113 (2014) 131601 [arXiv:1403.4543] [INSPIRE].
  23. L. Bianchi and B. Hoare, AdS 3 × S 3 × M 4 string S-matrices from unitarity cuts, JHEP 08 (2014) 097 [arXiv:1405.7947] [INSPIRE].
  24. R. Borsato, O. Ohlsson Sax, A. Sfondrini and B. Stefanski Jr., The complete AdS 3 × S 3 × T 4 worldsheet S matrix, JHEP 10 (2014) 066 [arXiv:1406.0453] [INSPIRE].
  25. A. Pittelli, A. Torrielli and M. Wolf, Secret symmetries of type IIB superstring theory on AdS 3 × S 3 × M 4 , J. Phys. A 47 (2014) 455402 [arXiv:1406.2840] [INSPIRE].
  26. T. Lloyd, O. Ohlsson Sax, A. Sfondrini and B. Stefański Jr., The complete worldsheet S matrix of superstrings on AdS 3 × S 3 × T 4 with mixed three-form flux, Nucl. Phys. B 891 (2015) 570 [arXiv:1410.0866] [INSPIRE].
  27. R. Borsato, O. Ohlsson Sax, A. Sfondrini and B. Stefański, On the spectrum of AdS 3 × S 3 × T 4 strings with Ramond-Ramond flux, J. Phys. A 49 (2016) 41LT03 [arXiv:1605.00518] [INSPIRE].
  28. P. Sundin and L. Wulff, The complete one-loop BMN S-matrix in AdS 3 × S 3 × T 4 , JHEP 06 (2016) 062 [INSPIRE].
  29. R. Borsato et al., On the dressing factors, Bethe equations and Yangian symmetry of strings on AdS 3 × S 3 × T 4 , J. Phys. A 50 (2017) 024004 [arXiv:1607.00914] [INSPIRE].
  30. M. Baggio et al., Protected string spectrum in AdS 3 /CFT 2 from worldsheet integrability, JHEP 04 (2017) 091 [arXiv:1701.03501] [INSPIRE].
  31. O. Ohlsson Sax and B. Stefanski Jr., Integrability, spin-chains and the AdS3/CFT2 correspondence, JHEP 08 (2011) 029 [arXiv:1106.2558] [INSPIRE].
  32. N. Rughoonauth, P. Sundin and L. Wulff, Near BMN dynamics of the AdS 3 × S 3 × S 3 × S 1 superstring, JHEP 07 (2012) 159 [arXiv:1204.4742] [INSPIRE].
  33. R. Borsato, O. Ohlsson Sax and A. Sfondrini, A dynamic SU(1|1) 2 S-matrix for AdS 3 /CFT 2 , JHEP 04 (2013) 113 [arXiv:1211.5119] [INSPIRE].
  34. R. Borsato, O. Ohlsson Sax and A. Sfondrini, All-loop Bethe ansatz equations for AdS 3 /CFT 2 , JHEP 04 (2013) 116 [arXiv:1212.0505] [INSPIRE].
  35. R. Borsato, O. Ohlsson Sax, A. Sfondrini and B. Stefański, The AdS 3 × S 3 × S 3 × S 1 worldsheet S matrix, J. Phys. A 48 (2015) 415401 [arXiv:1506.00218] [INSPIRE].
  36. JHEP08(2019)124
  37. M.C. Abbott, Comment on Strings in AdS 3 × S 3 × S 3 × S 1 at one Loop, JHEP 02 (2013) 102 [arXiv:1211.5587] [INSPIRE].
  38. M.C. Abbott, The AdS 3 × S 3 × S 3 × S 1 Hernández-López phases: a semiclassical derivation, J. Phys. A 46 (2013) 445401 [arXiv:1306.5106] [INSPIRE].
  39. M.C. Abbott and I. Aniceto, Macroscopic (and microscopic) massless modes, Nucl. Phys. B 894 (2015) 75 [arXiv:1412.6380] [INSPIRE].
  40. L. Eberhardt, M.R. Gaberdiel, R. Gopakumar and W. Li, BPS spectrum on AdS 3 × S 3 × S 3 × S 1 , JHEP 03 (2017) 124 [arXiv:1701.03552] [INSPIRE].
  41. S. Gukov, E. Martinec, G.W. Moore and A. Strominger, The Search for a holographic dual to AdS 3 × S 3 × S 3 × S 1 , Adv. Theor. Math. Phys. 9 (2005) 435 [hep-th/0403090] [INSPIRE].
  42. D. Tong, The holographic dual of AdS 3 × S 3 × S 3 × S 1 , JHEP 04 (2014) 193 [arXiv:1402.5135] [INSPIRE].
  43. L. Eberhardt, M.R. Gaberdiel and W. Li, A holographic dual for string theory on AdS 3 × S 3 × S 3 × S 1 , JHEP 08 (2017) 111 [arXiv:1707.02705] [INSPIRE].
  44. M.R. Gaberdiel and R. Gopakumar, Tensionless string spectra on AdS 3 , JHEP 05 (2018) 085 [arXiv:1803.04423] [INSPIRE].
  45. A. Pittelli, Yangian symmetry of string theory on AdS 3 × S 3 × S 3 × S 1 with mixed 3-form Flux, Nucl. Phys. B 935 (2018) 271 [arXiv:1711.02468] [INSPIRE].
  46. A. Babichenko, B. Stefanski Jr. and K. Zarembo, Integrability and the AdS 3 /CF T 2 correspondence, JHEP 03 (2010) 058 [arXiv:0912.1723] [INSPIRE].
  47. P. Sundin and L. Wulff, Classical integrability and quantum aspects of the AdS 3 × S 3 × S 3 × S 1 superstring, JHEP 10 (2012) 109 [arXiv:1207.5531] [INSPIRE].
  48. N. Beisert et al., Review of AdS/CFT integrability: an overview, Lett. Math. Phys. 99 (2012) 3 [arXiv:1012.3982] [INSPIRE].
  49. A. Cagnazzo and K. Zarembo, B-field in AdS 3 /CF T 2 correspondence and integrability, JHEP 11 (2012) 133 [Erratum ibid. 04 (2013) 003] [arXiv:1209.4049] [INSPIRE].
  50. J.M. Maldacena and H. Ooguri, Strings in AdS 3 and SL(2, R) WZW model 1.: the spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
  51. B. Hoare and A.A. Tseytlin, On string theory on AdS 3 × S 3 × T 4 with mixed 3-form flux: tree-level S-matrix, Nucl. Phys. B 873 (2013) 682 [arXiv:1303.1037] [INSPIRE].
  52. B. Hoare and A.A. Tseytlin, Massive S-matrix of AdS 3 × S 3 × T 4 superstring theory with mixed 3-form flux, Nucl. Phys. B 873 (2013) 395 [arXiv:1304.4099] [INSPIRE].
  53. B. Hoare, A. Stepanchuk and A.A. Tseytlin, Giant magnon solution and dispersion relation in string theory in AdS 3 × S 3 × T 4 with mixed flux, Nucl. Phys. B 879 (2014) 318 [arXiv:1311.1794] [INSPIRE].
  54. P. Sundin and L. Wulff, One-and two-loop checks for the AdS 3 × S 3 × T 4 superstring with mixed flux, J. Phys. A 48 (2015) 105402 [arXiv:1411.4662] [INSPIRE].
  55. M. Baggio and A. Sfondrini, Strings on NS-NS backgrounds as integrable deformations, Phys. Rev. D 98 (2018) 021902 [arXiv:1804.01998] [INSPIRE].
  56. O. Ohlsson Sax and B. Stefański, Closed strings and moduli in AdS 3 /CFT 2 , JHEP 05 (2018) 101 [arXiv:1804.02023] [INSPIRE].
  57. JHEP08(2019)124
  58. A. Babichenko, A. Dekel and O. Ohlsson Sax, Finite-gap equations for strings on AdS 3 x S 3 x T 4 with mixed 3-form flux, JHEP 11 (2014) 122 [arXiv:1405.6087] [INSPIRE].
  59. T. Lloyd and B. Stefański, Jr., AdS 3 /CFT 2 , finite-gap equations and massless modes, JHEP 04 (2014) 179 [arXiv:1312.3268] [INSPIRE].
  60. J.R. David and A. Sadhukhan, Spinning strings and minimal surfaces in AdS 3 with mixed 3-form fluxes, JHEP 10 (2014) 049 [arXiv:1405.2687] [INSPIRE].
  61. A. Banerjee, K.L. Panigrahi and P.M. Pradhan, Spiky strings on AdS 3 × S 3 with NS-NS flux, Phys. Rev. D 90 (2014) 106006 [arXiv:1405.5497] [INSPIRE].
  62. C. Ahn and P. Bozhilov, String solutions in AdS 3 × S 3 × T 4 with NS-NS B-field, Phys. Rev. D 90 (2014) 066010 [arXiv:1404.7644] [INSPIRE].
  63. A. Banerjee, S. Biswas and K.L. Panigrahi, On multi-spin classical strings with NS-NS flux, JHEP 08 (2018) 053 [arXiv:1806.10934] [INSPIRE].
  64. A. Banerjee, K.L. Panigrahi and M. Samal, A note on oscillating strings in AdS 3 × S 3 with mixed three-form fluxes, JHEP 11 (2015) 133 [arXiv:1508.03430] [INSPIRE].
  65. S.P. Barik, K.L. Panigrahi and M. Samal, Perturbation of pulsating strings, Eur. Phys. J. C 78 (2018) 882 [arXiv:1708.05202] [INSPIRE].
  66. A. Banerjee and A. Sadhukhan, Multi-spike strings in AdS 3 with mixed three-form fluxes, JHEP 05 (2016) 083 [arXiv:1512.01816] [INSPIRE].
  67. A. Stepanchuk, Aspects of integrability in string sigma-models, Ph.D. thesis, Imperial College, London, U.K. (2015).
  68. R. Hernández and J.M. Nieto, Spinning strings in AdS 3 × S 3 with NS-NS flux, Nucl. Phys. B 888 (2014) 236 [Erratum ibid. B 895 (2015) 303] [arXiv:1407.7475] [INSPIRE].
  69. R. Hernandez and J.M. Nieto, Elliptic solutions in the Neumann-Rosochatius system with mixed flux, Phys. Rev. D 91 (2015) 126006 [arXiv:1502.05203] [INSPIRE].
  70. R. Hernández, J.M. Nieto and R. Ruiz, Pulsating strings with mixed three-form flux, JHEP 04 (2018) 078 [arXiv:1803.03078] [INSPIRE].
  71. J.M. Nieto and R. Ruiz, One-loop quantization of rigid spinning strings in AdS 3 × S 3 × T 4 with mixed flux, JHEP 07 (2018) 141 [arXiv:1804.10477] [INSPIRE].
  72. A. Banerjee, S. Biswas and R.R. Nayak, D1 string dynamics in curved backgrounds with fluxes, JHEP 04 (2016) 172 [arXiv:1601.06360] [INSPIRE].
  73. R. Hernández, J.M. Nieto and R. Ruiz, Minimal surfaces with mixed three-form flux, Phys. Rev. D 99 (2019) 086003 [arXiv:1811.08294] [INSPIRE].
  74. A. Dei and A. Sfondrini, Integrable spin chain for stringy Wess-Zumino-Witten models, JHEP 07 (2018) 109 [arXiv:1806.00422] [INSPIRE].

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    Priyadarshini Pandit

    Journal of High Energy Physics, 2021

    Sigma model in AdS3× S3 background supported by both NS-NS and R-R fluxes is one of the most distinguished integrable models. We study a class of classical string solutions for N-spike strings moving in AdS3× S1 with angular momentum J in S1 ⊂ S5 in the presence of mixed flux. We observe that the addition of angular momentum J or winding number m results in the spikes getting rounded off and not end in cusp. The presence of flux shows no alteration to the rounding-off nature of the spikes. We also consider the large N-limit of N-spike string in AdS3× S1 in the presence of flux and show that the so-called Energy-Spin dispersion relation is analogous to the solution we get for the periodic-spike in AdS3− pp-wave ×S1 background with flux.

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    Neumann-Rosochatius system for rotating strings in AdS3 × S3 × S3 × S1 with flux
    Priyadarshini Pandit

    Journal of High Energy Physics, 2022

    We wish to construct an integrable Neumann-Rosochatius (NR) model of strings in AdS 3 × S 3 × S 3 × S 1 supported by pure NSNS flux. We observe that the forms of the Lagrangian and the Uhlenbeck integrals of motion of the considered system are NR-like with some suitable deformations, which eventually appear due to the presence of flux. We utilize the integrable framework of the deformed NR model to analyze rigidly rotating spiky strings moving only in S 3 × S 1. We further present a quantitative study on the rounding-off nature of the spike in the presence of non-zero angular momentum J in S 1 .

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