Abstract
In this paper we use the AdS/CFT correspondence to study dark soliton solutions in a holographic model of a relativistic superfluid. We calculate the length scales corresponding to the condensate and the charge density depletion, and find relation with the chemical potential. We compare our solutions with the quasiparticle excitations above the holographic superfluid and find that the scale of the excitations is comparable to the soliton coherence length scales.
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Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2, 231 (1998)
Witten, E.: Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2, 253 (1998)
Gubser, S.S., Klebanov, I.R., Polyakov, A.M.: Gauge theory correlators from noncritical string theory. Phys. Lett. B 428, 105 (1998)
Schwart, J.H.: Introduction to M theory and AdS/CFT duality, In Lecture Notes in Physics, Vol. 525, pp. 1–21 (1999). arXiv:hep-th/9812037
Petersen, J.L.: Introduction to the Maldacena conjecture on AdS/CFT. Int. J. Mod. Phys. A 14, 3597 (1999)
Peschanski, R.: Introduction TO strings theory and gauga/gravity duality for students in QCD and QGP phenomenology. arXiv:0804.3210 [hep-ph]
Gubser, S.S.: Breaking an Abelian gauge symmetry near a black hole horizon. Phys. Rev. D 78, 065034 (2008). arXiv:0801.2977 [hep-th]
Hartnoll, S.A., Herzog, C.P., Horowitz, G.T.: Building an AdS/CFT superconductor. Phys. Rev. Lett. 101, 031601 (2008). arXiv:0803.3295 [hep-th]
Callan, C., Harvey, J., Strominger, A.: 1991. Supersymmetric string solitons. In: Trieste 1991, Proceedings, String Theory and Quantum Gravity ’91, pp. 208–244, Chicago Univ. (91/11, rec. Feb.92). Preprint EFI-91-66, hep-th/9112030
Rajaraman, R.: Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory. North-Holland, Amsterdam (1982)
Hartnoll, S.A., Herzog, C.P., Horowitz, G.T.: Phys. Rev. Lett. 101, 031601 (2008). arXiv:0803.3295 [hep-th]
Albash, T., Johnson, C.V.: Phases of holographic superconductors in an external magnetic field. arXiv:0906.0519 [hep-th]
Albash, T., Johnson, C.V.: Vortex and droplet engineering in holographic superconductors. Phys. Rev. D 80, 126009 (2009). arXiv:0906.1795 [hep-th]
Montull, M., Pomarol, A., Silva, P.J.: The holographic superconductor vortex. arXiv:0906.2396 [hep-th]
Balasubramanian, V., Kraus, P., Lawrence, A.E., Trivedi, S.P.: Holographic probes of anti-de Sitter space-times. Phys. Rev. D 59, 104021 (1999). arXiv:hep-th/9808017
Akhiezer, N.I.: Elements of the Theory of Elliptic Functions, Translations of Mathematical Monographs, vol. 79. American Mathematical Society, Providence (1980)
Whittaker, E.T., Watson, G.N.: A Course of Modern Analysis, 4th edn. Cambridge University Press, Cambridge (1952)
Zakharov, V.E., Shabat, A.B.: Exact theory of two-dimensional self-focusing and one-dimensional selfmodulation of waves in nonlinear media. Ž. èksp. Teor. Fiz. 61, 118–134 (1971). Sov. Phys. JETP 34, 62 (1972)
Witten, E.: Anti-de Sitter space, thermal phase transition, and confinement in gauge theories. Adv. Theor. Math. Phys. 2, 505 (1998). arXiv:hep-th/9803131
Keranen, V., Keski-Vakkuri, E., Nowling, S., Yogendran, K.P.: Inhomogeneous structures in holographic superfluids. I. Dark solitons. arXiv:0911.1866 [hep-th]
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Masoudi, S., Derakhsh, P. & Banam, K. AdS/CFT Correspondence and Dark Soliton. Int J Theor Phys 50, 2567–2572 (2011). https://doi.org/10.1007/s10773-011-0749-3
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DOI: https://doi.org/10.1007/s10773-011-0749-3