Geodesic
Massless Excitations of Long Strings in $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 54-64.

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We consider the $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$ IIA superstring sigma model in the background of a “spinning string” classical solution with two charges. In the limit when one of the spins is infinite, there are massless excitations which govern the long-range worldsheet properties of the model. We obtain a sigma model of $\mathbb C\mathrm P^3$ with fermions which describes the dynamics of these massless modes. 
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     author = {D. V. Bykov},
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D. V. Bykov. Massless Excitations of Long Strings in $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 54-64. http://geodesic.mathdoc.fr/item/TM_2011_272_a5/

[1] Maldacena J.M., “The large $N$ limit of superconformal field theories and supergravity”, Adv. Theor. and Math. Phys., 2 (1998), 231 | MR | Zbl

[2] Aharony O., Bergman O., Jafferis D.L., Maldacena J., “$\mathcal N=6$ superconformal Chern–Simons-matter theories, M2-branes and their gravity duals”, J. High Energy Phys., 2008, no. 10, 091 | DOI | MR | Zbl

[3] Gross D.J., Wilczek F., “Asymptotically free gauge theories. II”, Phys. Rev. D, 9 (1974), 980 | DOI

[4] Gubser S.S., Klebanov I.R., Polyakov A.M., “A semi-classical limit of the gauge/string correspondence”, Nucl. Phys. B, 636 (2002), 99 | DOI | MR | Zbl

[5] Frolov S., Tirziu A., Tseytlin A.A., “Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT”, Nucl. Phys. B, 766 (2007), 232 | DOI | MR | Zbl

[6] Alday L.F., Maldacena J., “Comments on operators with large spin”, J. High Energy Phys., 2007, no. 11, 019 | DOI | MR | Zbl

[7] Alday L.F., Arutyunov G., Bykov D., “Semiclassical quantization of spinning strings in $\mathrm {AdS}_4\times \mathrm {CP}^3$”, J. High Energy Phys., 2008, no. 11, 089 | DOI | MR

[8] Gomis J., Sorokin D., Wulff L., “The complete $AdS_4\times CP^3$ superspace for the type IIA superstring and D-branes”, J. High Energy Phys., 2009, no. 3, 015 | DOI | MR

[9] Grassi P.A., Sorokin D., Wulff L., “Simplifying superstring and D-brane actions in $AdS(4)\times CP(3)$ superbackground”, J. High Energy Phys., 2009, no. 8, 060 | DOI | MR | Zbl

[10] Arutyunov G., Frolov S., “Foundations of the $\mathrm {AdS}_5\times \mathrm S^5$ superstring. I”, J. Phys. A: Math. and Theor., 42 (2009), 254003 | DOI | MR | Zbl

[11] Bergshoeff E., Sezgin E., Townsend P.K., “Supermembranes and eleven-dimensional supergravity”, Phys. Lett. B, 189 (1987), 75 | DOI | MR

[12] Duff M.J., Howe P.S., Inami T., Stelle K.S., “Superstrings in $D=10$ from supermembranes in $D=11$”, Phys. Lett. B, 191 (1987), 70 | DOI | MR

[13] Howe P.S., Sezgin E., “The supermembrane revisited”, Class. and Quantum Grav., 22 (2005), 2167 | DOI | MR | Zbl

[14] Sorokin D.P., Tkach V.I., Volkov D.V., “Kaluza–Klein theories and spontaneous compactification mechanisms of extra space dimensions”, Proc. 3rd Sem. on Quantum Gravity (Moscow, 1984), World Sci., Singapore, 1985, 376–392 | MR

[15] Sorokin D.P., Tkach V.I., Volkov D.V., “On the relationship between compactified vacua of $d=11$ and $d=10$ supergravities”, Phys. Lett. B, 161 (1985), 301 | DOI | MR

[16] Nilsson B.E.W., Pope C.N., “Hopf fibration of eleven-dimensional supergravity”, Class. and Quantum Grav., 1 (1984), 499 | DOI | MR

[17] Uvarov D.V., “$AdS_4\times \mathbb {CP}^3$ superstring in the light-cone gauge”, Nucl. Phys. B, 826 (2010), 294 | DOI | MR | Zbl

[18] Uvarov D.V., “Light-cone gauge Hamiltonian for $\mathrm {AdS}_4\times \mathbb {CP}^3$ superstring”, Mod. Phys. Lett. A, 25 (2010), 1251 | DOI | MR | Zbl