Built on

B. E. W. Nilsson and C. N. Pope, “HOPF FIBRATION OF ELEVEN-DIMENSIONAL SUPERGRAVITY,” Class. Quant. Grav
1984
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett
1998
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in AdS 5 × S 5 \mbox{AdS}_{5}\times S^{5} background,” Nucl. Phys
1998
Earlier work this paper cites.
R. Kallosh, J. Rahmfeld, and A. Rajaraman, “Near horizon superspace,” JHEP
1998
Earlier work this paper cites.
R. R. Metsaev, “Type IIB Green-Schwarz superstring in plane wave Ramond- Ramond background,” Nucl. Phys
2002
Earlier work this paper cites.
D. Berenstein, J. M. Maldacena, and H. Nastase, “Strings in flat space and pp waves from 𝒩 = 4 \mathcal{N}=4 super Yang Mills,” JHEP
2002
Earlier work this paper cites.
K. Sugiyama and K. Yoshida, “Type IIA string and matrix string on pp-wave,” Nucl. Phys
2002
Earlier work this paper cites.
S.-j. Hyun and H.-j. Shin, “N = (4,4) type IIA string theory on pp-wave background,” JHEP
2002
Earlier work this paper cites.
J. Callan, Curtis G. et al
2003
Earlier work this paper cites.
N. Beisert, C. Kristjansen, and M. Staudacher, “The dilatation operator of 𝒩 = 4 \mathcal{N}=4 super Yang-Mills theory,” Nucl. Phys
2003
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe-ansatz for 𝒩 = 4 \mathcal{N}=4 super Yang-Mills,” JHEP
2003
Earlier work this paper cites.
M. Bertolini, J. de Boer, T. Harmark, E. Imeroni, and N. A. Obers, “Gauge theory description of compactified pp-waves,” JHEP
2003
Earlier work this paper cites.
J. Callan, Curtis G., T. McLoughlin, and I. Swanson, “Holography beyond the Penrose limit,” Nucl. Phys
2004
Earlier work this paper cites.
G. Arutyunov, S. Frolov, and M. Staudacher, “Bethe ansatz for quantum strings,” JHEP
2004
Earlier work this paper cites.
N. Beisert, V. Dippel, and M. Staudacher, “A novel long range spin chain and planar 𝒩 = 4 \mathcal{N}=4 super Yang-Mills,” JHEP
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range P S U ( 2 , 2 | 4 ) {PSU}(2,2|4) Bethe ansaetze for gauge theory and strings,” Nucl. Phys
2005
Earlier work this paper cites.
R. Hernandez and E. Lopez, “Quantum corrections to the string Bethe ansatz,” JHEP
2006
Earlier work this paper cites.
N. Beisert, B. Eden, and M. Staudacher, “Transcendentality and crossing,” J. Stat. Mech
2007
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “Superstrings on AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} as a Coset Sigma-model,” JHEP
Original
2008
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP
Original
2008
Earlier work this paper cites.
G. Grignani, T. Harmark, M. Orselli, and G. W. Semenoff, “Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory,” JHEP
Original
2008
Earlier work this paper cites.
T. McLoughlin, R. Roiban, and A. A. Tseytlin, “Quantum spinning strings in AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} : testing the Bethe Ansatz proposal,” JHEP
Original
2008
Earlier work this paper cites.
T. Nishioka and T. Takayanagi, “On Type IIA Penrose Limit and N=6 Chern-Simons Theories,” JHEP
Original
2008
Earlier work this paper cites.
C. Ahn, P. Bozhilov, and R. Rashkov, “Neumann-Rosochatius integrable system for strings on AdS(4) x CP**3,” JHEP
Original
2008
Earlier work this paper cites.

Similar

T. Lukowski and O. O. Sax, “Finite size giant magnons in the SU(2) x SU(2) sector of AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} ,” JHEP
Original
2008
Cited alongside, same era.
T. McLoughlin and R. Roiban, “Spinning strings at one-loop in AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} ,” JHEP
Original
2008
Cited alongside, same era.
L. F. Alday, G. Arutyunov, and D. Bykov, “Semiclassical Quantization of Spinning Strings in AdS(4) x CP**3,” JHEP
Original
2008
Cited alongside, same era.
C. Krishnan, “ AdS 4 \mbox{AdS}_{4} /CFT 3 at One Loop,” JHEP
Original
2008
Cited alongside, same era.
N. Gromov, V. Kazakov, and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory,” Phys.Rev.Lett

Then

O. Bergman and S. Hirano, “Anomalous radius shift in AdS(4)/CFT(3),” JHEP
Original
2009
Later among the works it cites.
J. Gomis, D. Sorokin, and L. Wulff, “The complete AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} superspace for the type IIA superstring and D-branes,” JHEP
Original
2009
Later among the works it cites.
P. A. Grassi, D. Sorokin, and L. Wulff, “Simplifying superstring and D-brane action in the AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} superbackground,” JHEP
Original
2009
Later among the works it cites.
N. Gromov, V. Kazakov, A. Kozak, and P. Vieira, “Exact Spectrum of Anomalous Dimensions of Planar N = 4 Supersymmetric Yang-Mills Theory: TBA and excited states,” Lett. Math. Phys
Original
2010
Later among the works it cites.
D. Sorokin and L. Wulff, “Evidence for the classical integrability of the complete A d S 4 x C P 3 AdS_{4}xCP^{3} superstring,” JHEP

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2011

Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz

Astolfi, Davide, Grignani, Gianluca, Ser-Giacomi, Enrico et al.

Understand

We compute the first curvature corrections to the spectrum of light-cone gauge type IIA string theory that arise in the expansion of $AdS_4\times \mathbb{CP}^3$ about a plane-wave limit.

The resulting spectrum is shown to match precisely, both in magnitude and degeneration that of the corresponding solutions of the all-loop Gromov--Vieira Bethe Ansatz.
The one-loop dispersion relation correction is calculated for all the single oscillator states of the theory, with the level matching condition lifted.
It is shown to have all logarithmic divergences cancelled and to leave only a finite exponentially suppressed contribution, as shown earlier for light bosons.

Built on

B. E. W. Nilsson and C. N. Pope, “HOPF FIBRATION OF ELEVEN-DIMENSIONAL SUPERGRAVITY,” Class. Quant. Grav
1984
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett
1998
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in AdS 5 × S 5 \mbox{AdS}_{5}\times S^{5} background,” Nucl. Phys
1998
Earlier work this paper cites.
R. Kallosh, J. Rahmfeld, and A. Rajaraman, “Near horizon superspace,” JHEP
1998
Earlier work this paper cites.
R. R. Metsaev, “Type IIB Green-Schwarz superstring in plane wave Ramond- Ramond background,” Nucl. Phys
2002
Earlier work this paper cites.
D. Berenstein, J. M. Maldacena, and H. Nastase, “Strings in flat space and pp waves from 𝒩 = 4 \mathcal{N}=4 super Yang Mills,” JHEP
2002
Earlier work this paper cites.
K. Sugiyama and K. Yoshida, “Type IIA string and matrix string on pp-wave,” Nucl. Phys
2002
Earlier work this paper cites.
S.-j. Hyun and H.-j. Shin, “N = (4,4) type IIA string theory on pp-wave background,” JHEP
2002
Earlier work this paper cites.
J. Callan, Curtis G. et al
2003
Earlier work this paper cites.
N. Beisert, C. Kristjansen, and M. Staudacher, “The dilatation operator of 𝒩 = 4 \mathcal{N}=4 super Yang-Mills theory,” Nucl. Phys
2003
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe-ansatz for 𝒩 = 4 \mathcal{N}=4 super Yang-Mills,” JHEP
2003
Earlier work this paper cites.
M. Bertolini, J. de Boer, T. Harmark, E. Imeroni, and N. A. Obers, “Gauge theory description of compactified pp-waves,” JHEP
2003
Earlier work this paper cites.
J. Callan, Curtis G., T. McLoughlin, and I. Swanson, “Holography beyond the Penrose limit,” Nucl. Phys
2004
Earlier work this paper cites.
G. Arutyunov, S. Frolov, and M. Staudacher, “Bethe ansatz for quantum strings,” JHEP
2004
Earlier work this paper cites.
N. Beisert, V. Dippel, and M. Staudacher, “A novel long range spin chain and planar 𝒩 = 4 \mathcal{N}=4 super Yang-Mills,” JHEP
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range P S U ( 2 , 2 | 4 ) {PSU}(2,2|4) Bethe ansaetze for gauge theory and strings,” Nucl. Phys
2005
Earlier work this paper cites.
R. Hernandez and E. Lopez, “Quantum corrections to the string Bethe ansatz,” JHEP
2006
Earlier work this paper cites.
N. Beisert, B. Eden, and M. Staudacher, “Transcendentality and crossing,” J. Stat. Mech
2007
Earlier work this paper cites.
G. Arutyunov and S. Frolov, “Superstrings on AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} as a Coset Sigma-model,” JHEP
Original
2008
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” JHEP
Original
2008
Earlier work this paper cites.
G. Grignani, T. Harmark, M. Orselli, and G. W. Semenoff, “Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory,” JHEP
Original
2008
Earlier work this paper cites.
T. McLoughlin, R. Roiban, and A. A. Tseytlin, “Quantum spinning strings in AdS 4 × ℂ P 3 \mbox{AdS}_{4}\times\mathds{C}P^{3} : testing the Bethe Ansatz proposal,” JHEP
Original
2008
Earlier work this paper cites.
T. Nishioka and T. Takayanagi, “On Type IIA Penrose Limit and N=6 Chern-Simons Theories,” JHEP
Original
2008
Earlier work this paper cites.
C. Ahn, P. Bozhilov, and R. Rashkov, “Neumann-Rosochatius integrable system for strings on AdS(4) x CP**3,” JHEP
Original
2008
Earlier work this paper cites.