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Volumn 8, Issue 5, 2004, Pages 499-553

Classical/quantum integrability in AdS/CFT

Author keywords

1 N Expansion; AdS CFT and dS CFT Correspondence; Bethe Ansatz; Integrable Equations in Physics

Indexed keywords


EID: 23044457712     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (442)

References (90)
  • 2
    • 33744543538 scopus 로고
    • A planar diagram theory for strong interactions
    • G.'t Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
    • (1974) Nucl. Phys. B , vol.72 , pp. 461
    • 'T Hooft, G.1
  • 3
    • 0041814806 scopus 로고
    • A model of random surfaces with nontrivial critical behavior
    • F. David, A model of random surfaces with nontrivial critical behavior, Nucl. Phys. B 257 (1985) 543.
    • (1985) Nucl. Phys. B , vol.257 , pp. 543
    • David, F.1
  • 4
    • 0000108045 scopus 로고
    • Bilocal regularization of models of random surfaces
    • V.A. Kazakov, Bilocal regularization of models of random surfaces, Phys. Lett. B 150 (1985) 282.
    • (1985) Phys. Lett. B , vol.150 , pp. 282
    • Kazakov, V.A.1
  • 6
    • 33744618636 scopus 로고
    • A two-dimensional model for mesons
    • G. 't Hooft, A two-dimensional model for mesons, Nucl. Phys. B 75 (1974) 461.
    • (1974) Nucl. Phys. B , vol.75 , pp. 461
    • 'T Hooft, G.1
  • 7
    • 78650234788 scopus 로고    scopus 로고
    • The large-N limit of superconformal field theories and supergravity
    • [hep-th/9711200]
    • J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200].
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
    • Maldacena, J.M.1
  • 8
    • 0347811692 scopus 로고    scopus 로고
    • Gauge theory correlators from non-critical string theory
    • [hep-th/9802109]
    • S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109].
    • (1998) Phys. Lett. B , vol.428 , pp. 105
    • Gubser, S.S.1    Klebanov, I.R.2    Polyakov, A.M.3
  • 9
    • 24944555508 scopus 로고    scopus 로고
    • Anti-de Sitter space and holography
    • [hep-th/9802150]
    • E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
    • Witten, E.1
  • 10
    • 0042559192 scopus 로고    scopus 로고
    • Strings in flat space and pp waves from N = 4 super Yang-Mills
    • [hep-th/0202021]
    • D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, J. High Energy Phys. 04 (2002) 013 [hep-th/0202021].
    • (2002) J. High Energy Phys. , vol.4 , pp. 013
    • Berenstein, D.1    Maldacena, J.M.2    Nastase, H.3
  • 11
    • 0037068024 scopus 로고    scopus 로고
    • A semi-classical limit of the gauge/string correspondence
    • [hep-th/0204051]
    • S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A semi-classical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051].
    • (2002) Nucl. Phys. B , vol.636 , pp. 99
    • Gubser, S.S.1    Klebanov, I.R.2    Polyakov, A.M.3
  • 12
    • 0037128446 scopus 로고    scopus 로고
    • Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
    • [hep-th/0112044]
    • R.R. Metsaev, Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background, Nucl. Phys. B 625 (2002) 70 [hep-th/0112044].
    • (2002) Nucl. Phys. B , vol.625 , pp. 70
    • Metsaev, R.R.1
  • 13
    • 85038316864 scopus 로고    scopus 로고
    • Exactly solvable model of superstring in plane wave Ramond-Ramond background
    • [hep-th/0202109]
    • R.R. Metsaev and A.A. Tseytlin, Exactly solvable model of superstring in plane wave Ramond-Ramond background, Phys. Rev. D 65 (2002) 126004 [hep-th/0202109].
    • (2002) Phys. Rev. D , vol.65 , pp. 126004
    • Metsaev, R.R.1    Tseytlin, A.A.2
  • 14
    • 0037057349 scopus 로고    scopus 로고
    • Operators with large R charge in N = 4 Yang-Mills theory
    • [hep-th/0205066]
    • D.J. Gross, A. Mikhailov and R. Roiban, Operators with large R charge in N = 4 Yang-Mills theory, Ann. Phys. (NY) 301 (2002) 31 [hep-th/0205066].
    • (2002) Ann. Phys. (NY) , vol.301 , pp. 31
    • Gross, D.J.1    Mikhailov, A.2    Roiban, R.3
  • 15
    • 0037057611 scopus 로고    scopus 로고
    • Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge
    • [hep-th/0206079]
    • A. Santambrogio and D. Zanon, Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge, Phys. Lett. B 545 (2002) 425 [hep-th/0206079].
    • (2002) Phys. Lett. B , vol.545 , pp. 425
    • Santambrogio, A.1    Zanon, D.2
  • 18
  • 22
    • 0042695787 scopus 로고    scopus 로고
    • Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
    • [hep-th/0306143]
    • S. Frolov and A.A. Tseytlin, Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors, Phys. Lett. B 570 (2003) 96 [hep-th/0306143].
    • (2003) Phys. Lett. B , vol.570 , pp. 96
    • Frolov, S.1    Tseytlin, A.A.2
  • 27
    • 23044454343 scopus 로고    scopus 로고
    • The bethe-ansatz for N = 4 super Yang-Mills
    • [hep-th/0212208]
    • J.A. Minahan and K. Zarembo, The bethe-ansatz for N = 4 super Yang-Mills, J. High Energy Phys. 03 (2003) 013 [hep-th/0212208].
    • (2003) J. High Energy Phys. , vol.3 , pp. 013
    • Minahan, J.A.1    Zarembo, K.2
  • 28
    • 0345490610 scopus 로고    scopus 로고
    • The complete one-loop dilatation operator of N = 4 super Yang-Mills theory
    • [hep-th/0307015]
    • N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory, Nucl. Phys. B 676 (2004) 3 [hep-th/0307015].
    • (2004) Nucl. Phys. B , vol.676 , pp. 3
    • Beisert, N.1
  • 29
    • 0141793871 scopus 로고    scopus 로고
    • The N = 4 SYM integrable super spin chain
    • [hep-th/0307042]
    • N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain, Nucl. Phys. B 670 (2003) 439 [hep-th/0307042].
    • (2003) Nucl. Phys. B , vol.670 , pp. 439
    • Beisert, N.1    Staudacher, M.2
  • 30
    • 0000720628 scopus 로고
    • On the theory of metals, 1. Eigenvalues and eigenfunctions for the linear atomic chain
    • H. Bethe, On the theory of metals, 1. Eigenvalues and eigenfunctions for the linear atomic chain, Z. Phys. 71 (1931) 205.
    • (1931) Z. Phys. , vol.71 , pp. 205
    • Bethe, H.1
  • 34
    • 18344397845 scopus 로고    scopus 로고
    • 5 from N = 4 SYM
    • [hep-th/0402033]
    • 5 from N = 4 SYM, Phys. Lett. B 586 (2004) 106 [hep-th/0402033].
    • (2004) Phys. Lett. B , vol.586 , pp. 106
    • Kristjansen, C.1
  • 38
    • 0038441814 scopus 로고    scopus 로고
    • The dilatation operator of N = 4 super Yang-Mills theory
    • [hep-th/0303060]
    • N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory, Nud. Phys. B 664 (2003) 131 [hep-th/0303060].
    • (2003) Nud. Phys. B , vol.664 , pp. 131
    • Beisert, N.1    Kristjansen, C.2    Staudacher, M.3
  • 39
    • 23144459979 scopus 로고    scopus 로고
    • Higher loops, integrability and the near BMN limit
    • [hep-th/0308074]
    • N. Beisert, Higher loops, integrability and the near BMN limit, J. High Energy Phys. 09 (2003) 062 [hep-th/0308074].
    • (2003) J. High Energy Phys. , vol.9 , pp. 062
    • Beisert, N.1
  • 40
    • 1242344789 scopus 로고    scopus 로고
    • The su(2|3) dynamic spin chain
    • [hep-th/0310252]
    • N. Beisert, The su(2|3) dynamic spin chain, Nucl. Phys. B 682 (2004) 487 [hep-th/0310252].
    • (2004) Nucl. Phys. B , vol.682 , pp. 487
    • Beisert, N.1
  • 41
    • 0345861820 scopus 로고    scopus 로고
    • On the integrability of large-N plane-wave matrix theory
    • [hep-th/0310232]
    • T. Klose and J. Plefka, On the integrability of large-N plane-wave matrix theory, Nucl. Phys. B 679 (2004) 127 [hep-th/0310232].
    • (2004) Nucl. Phys. B , vol.679 , pp. 127
    • Klose, T.1    Plefka, J.2
  • 45
    • 23044442054 scopus 로고    scopus 로고
    • A relation between approaches to integrability in superconformal Yang-Mills theory
    • [hep-th/0308089]
    • L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory, J. High Energy Phys. 10 (2003) 017 [hep-th/0308089];
    • (2003) J. High Energy Phys. , vol.10 , pp. 017
    • Dolan, L.1    Nappi, C.R.2    Witten, E.3
  • 47
    • 23044496045 scopus 로고    scopus 로고
    • Matching higher conserved charges for strings and spins
    • [hep-th/0310182]
    • G. Arutyunov and M. Staudacher, Matching higher conserved charges for strings and spins, J. High Energy Phys. 03 (2004) 004 [hep-th/0310182].
    • (2004) J. High Energy Phys. , vol.3 , pp. 004
    • Arutyunov, G.1    Staudacher, M.2
  • 49
    • 0000021311 scopus 로고
    • On the connection between the one-dimensional s = 1/2 Heisenberg chain and Haldane-shastry model
    • V.I. Inozemtsev, On the connection between the one-dimensional s = 1/2 Heisenberg chain and Haldane-Shastry model, J. Stat. Phys 59 (1990) 1143;
    • (1990) J. Stat. Phys , vol.59 , pp. 1143
    • Inozemtsev, V.I.1
  • 50
    • 0037361516 scopus 로고    scopus 로고
    • Integrable Heisenberg-Van Vleck chains with variable range exchange
    • [hep-th/0201001]
    • Integrable Heisenberg-Van Vleck chains with variable range exchange, Phys. Part. Nucl. 34 (2003) 166 [hep-th/0201001].
    • (2003) Phys. Part. Nucl. , vol.34 , pp. 166
  • 51
    • 13644276850 scopus 로고
    • Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory
    • [hep-th/9407087]
    • N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087].
    • (1994) Nucl. Phys. B , vol.426 , pp. 19
    • Seiberg, N.1    Witten, E.2
  • 53
    • 0001230643 scopus 로고
    • High-energy asymptotics of multicolor QCD and exactly solvable lattice models
    • [hep-th/9311037]
    • L.N. Lipatov, High-energy asymptotics of multicolor QCD and exactly solvable lattice models, Sov. Phys. JETP Lett. 59 (1994) 596 [hep-th/9311037].
    • (1994) Sov. Phys. JETP Lett. , vol.59 , pp. 596
    • Lipatov, L.N.1
  • 54
    • 0011653729 scopus 로고
    • High-energy QCD as a completely integrable model
    • [hep-th/9404173]
    • L.D. Eaddeev and G.P. Korchemsky, High-energy QCD as a completely integrable model, Phys. Lett. B 342 (1995) 311 [hep-th/9404173].
    • (1995) Phys. Lett. B , vol.342 , pp. 311
    • Eaddeev, L.D.1    Korchemsky, G.P.2
  • 55
    • 3242879766 scopus 로고    scopus 로고
    • Integrability of three-particle evolution equations in QCD
    • [hep-ph/9805225]
    • V.M. Braun, S.E. Derkachov and A.N. Manashov, Integrability of three-particle evolution equations in QCD, Phys. Rev. Lett. 81 (1998) 2020 [hep-ph/9805225].
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2020
    • Braun, V.M.1    Derkachov, S.E.2    Manashov, A.N.3
  • 57
    • 0043014494 scopus 로고    scopus 로고
    • Gauge/string duality for QCD conformal operators
    • [hep-th/0304028]
    • A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Gauge/string duality for QCD conformal operators, Nucl. Phys. B 667 (2003) 3 [hep-th/0304028].
    • (2003) Nucl. Phys. B , vol.667 , pp. 3
    • Belitsky, A.V.1    Gorsky, A.S.2    Korchemsky, G.P.3
  • 58
    • 0030579680 scopus 로고    scopus 로고
    • Quasiclassical QCD pomeron
    • [hep-th/9508025]
    • G.P. Korchemsky, Quasiclassical QCD pomeron, Nucl. Phys. B 462 (1996) 333 [hep-th/9508025];
    • (1996) Nucl. Phys. B , vol.462 , pp. 333
    • Korchemsky, G.P.1
  • 59
    • 0031552686 scopus 로고    scopus 로고
    • Integrable structures and duality in high-energy QCD
    • [hep-th/9609123]
    • Integrable structures and duality in high-energy QCD, Nucl. Phys. B 498 (1997) 68 [hep-th/9609123].
    • (1997) Nucl. Phys. B , vol.498 , pp. 68
  • 60
    • 0031564054 scopus 로고    scopus 로고
    • Solitons in high-energy QCD
    • [hep-th/9704079]
    • G.P. Korchemsky and I.M. Krichever, Solitons in high-energy QCD, Nucl. Phys. B 505 (1997) 387 [hep-th/9704079].
    • (1997) Nucl. Phys. B , vol.505 , pp. 387
    • Korchemsky, G.P.1    Krichever, I.M.2
  • 61
    • 1542507069 scopus 로고    scopus 로고
    • Integroble spin chain and operator mixing in N = 1,2 supersymmetric theories
    • [hep-th/0311073]
    • X.J. Wang and Y.S. Wu, Integroble spin chain and operator mixing in N = 1,2 supersymmetric theories, Nucl. Phys. B 683 (2004) 363 [hep-th/0311073].
    • (2004) Nucl. Phys. B , vol.683 , pp. 363
    • Wang, X.J.1    Wu, Y.S.2
  • 62
    • 84860979257 scopus 로고    scopus 로고
    • Open spinning strings
    • [hep-th/0312091]
    • J. Stefanski, B., Open spinning strings, J. High Energy Phys. 03 (2004) 057 [hep-th/0312091].
    • (2004) J. High Energy Phys. , vol.3 , pp. 057
    • Stefanski, J.1
  • 64
    • 23044488189 scopus 로고    scopus 로고
    • Integrable open spin chain in super Yang-Mills and the plane-wave/SYM duality
    • [hep-th/0401016]
    • B. Chen, X.-J. Wang and Y.-S. Wu, Integrable open spin chain in super Yang-Mills and the plane-wave/SYM duality, J. High Energy Phys. 02 (2004) 029 [hep-th/0401016].
    • (2004) J. High Energy Phys. , vol.2 , pp. 029
    • Chen, B.1    Wang, X.-J.2    Wu, Y.-S.3
  • 65
    • 10944229031 scopus 로고    scopus 로고
    • Integrable open spin chains in defect conformal field theory
    • [hep-th/0401041]
    • O. DeWolfe and N. Mann, Integrable open spin chains in defect conformal field theory, J. High Energy Phys. 04 (2004) 035 [hep-th/0401041].
    • (2004) J. High Energy Phys. , vol.4 , pp. 035
    • DeWolfe, O.1    Mann, N.2
  • 67
    • 13844323839 scopus 로고
    • Large-N phase transition in continuum QCD in two-dimensions
    • [hep-th/9305047]
    • M.R. Douglas and V.A. Kazakov, Large-N phase transition in continuum QCD in two-dimensions, Phys. Lett. B 319 (1993) 219 [hep-th/9305047].
    • (1993) Phys. Lett. B , vol.319 , pp. 219
    • Douglas, M.R.1    Kazakov, V.A.2
  • 68
    • 23044501945 scopus 로고    scopus 로고
    • private communication; J. Minahan, unpublished
    • M. Staudacher, private communication; J. Minahan, unpublished.
    • Staudacher, M.1
  • 69
    • 0011619305 scopus 로고
    • Phases of the large-N matrix model and nonperturbative effects in 2D gravity
    • F. David, Phases of the large-N matrix model and nonperturbative effects in 2D gravity, Nucl. Phys. B 348 (1991) 507.
    • (1991) Nucl. Phys. B , vol.348 , pp. 507
    • David, F.1
  • 70
    • 0037471307 scopus 로고    scopus 로고
    • Complex curve of the two matrix model and its tau-function
    • [hep-th/0211236]
    • V.A. Kazakov and A. Marshakov, Complex curve of the two matrix model and its tau-function, J. Phys. A 36 (2003) 3107 [hep-th/0211236].
    • (2003) J. Phys. A , vol.36 , pp. 3107
    • Kazakov, V.A.1    Marshakov, A.2
  • 72
    • 34250385489 scopus 로고
    • Integrable hamiltonian systems and interactions through quadratic constraints
    • K. Pohlmeyer, Integrable hamiltonian systems and interactions through quadratic constraints, Commun. Math. Phys. 46 (1976) 207.
    • (1976) Commun. Math. Phys. , vol.46 , pp. 207
    • Pohlmeyer, K.1
  • 73
    • 0000476712 scopus 로고
    • Relativistically invariant two-dimensional models in field theory integrable by the inverse problem technique
    • V.E. Zakharov and A.V. Mikhailov, Relativistically invariant two-dimensional models in field theory integrable by the inverse problem technique, (in russian), Sov. Phys. JETP 47 (1978) 1017.
    • (1978) Sov. Phys. JETP , vol.47 , pp. 1017
    • Zakharov, V.E.1    Mikhailov, A.V.2
  • 75
    • 0000111061 scopus 로고
    • Integrable systems -1, Sovremennye problemy matematiki (VINITI)
    • in Russian
    • B. Dubrovin, I. Krichever and S. Novikov, Integrable systems -1, Sovremennye problemy matematiki (VINITI), Dynamical systems - 4 (1985) 179 (in Russian).
    • (1985) Dynamical Systems , vol.4 , pp. 179
    • Dubrovin, B.1    Krichever, I.2    Novikov, S.3
  • 77
    • 23044459550 scopus 로고    scopus 로고
    • Speeding strings
    • [hep-th/0311019]
    • A. Mikhailov, Speeding strings, J. High Energy Phys. 12 (2003) 058 [hep-th/0311019];
    • (2003) J. High Energy Phys. , vol.12 , pp. 058
    • Mikhailov, A.1
  • 79
    • 0002174255 scopus 로고
    • Continuum spin system as an exactly solvable dynamical system
    • M. Lakshmanan, Continuum spin system as an exactly solvable dynamical system, Phys. Lett. A 61 (1977) 53.
    • (1977) Phys. Lett. A , vol.61 , pp. 53
    • Lakshmanan, M.1
  • 80
    • 0010999025 scopus 로고
    • Integration of the continuous Heisenberg spin chain through the inverse scattering method
    • L.A. Takhtajan, Integration of the continuous Heisenberg spin chain through the inverse scattering method, Phys. Lett. A 64 (1977) 235.
    • (1977) Phys. Lett. A , vol.64 , pp. 235
    • Takhtajan, L.A.1
  • 81
    • 34250270578 scopus 로고
    • Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet
    • V.E. Zakharov and L.A. Takhtajan, Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet, Theor. Math. Phys. 38 (1979) 17.
    • (1979) Theor. Math. Phys. , vol.38 , pp. 17
    • Zakharov, V.E.1    Takhtajan, L.A.2
  • 82
    • 0039094278 scopus 로고
    • Finite-zone integration of the Landau-Lifshits equation
    • R.F. Bikbaev, A.I. Bobenko and A.R. Its, Finite-zone integration of the Landau-Lifshits equation, Dokl. Akad. Nauk SSSR 272 (1983) 1293.
    • (1983) Dokl. Akad. Nauk SSSR , vol.272 , pp. 1293
    • Bikbaev, R.F.1    Bobenko, A.I.2    Its, A.R.3
  • 83
    • 0001510319 scopus 로고
    • Integrability of the principal chiral field model in (1+1)-dimension
    • L.D. Faddeev and N.Y. Reshetikhin, Integrability of the principal chiral field model in (1+1)-dimension, Ann. Phys. (NY) 167 (1986) 227.
    • (1986) Ann. Phys. (NY) , vol.167 , pp. 227
    • Faddeev, L.D.1    Reshetikhin, N.Y.2
  • 84
    • 0009782815 scopus 로고
    • Integrable quantum field theories and conformal field theories from lattice models in the light cone approach
    • C. Destri and H.J. de Vega, Integrable quantum field theories and conformal field theories from lattice models in the light cone approach, Phys. Lett. B 201 (1988) 261.
    • (1988) Phys. Lett. B , vol.201 , pp. 261
    • Destri, C.1    De Vega, H.J.2
  • 85
    • 0142139174 scopus 로고    scopus 로고
    • 5: Beyond the pp-wave
    • [hep-th/0307032]
    • 5: beyond the pp-wave, Nucl. Phys. B 673 (2003) 3 [hep-th/0307032].
    • (2003) Nucl. Phys. B , vol.673 , pp. 3
    • Callan Jr., C.G.1
  • 88
    • 5844423155 scopus 로고
    • Two-dimensional algebraic-geometrical operators with self-consistent potentials
    • I. Krichever, Two-dimensional algebraic-geometrical operators with self-consistent potentials, Func. Anal. Appl. 28 (1994) 1.
    • (1994) Func. Anal. Appl. , vol.28 , pp. 1
    • Krichever, I.1
  • 89
    • 0003351912 scopus 로고
    • Theta functions on Riemann surfaces
    • Springer-Verlag
    • J.D.Fay, Theta functions on Riemann surfaces, Lect. Notes in Mathematics 352, Springer-Verlag, 1973.
    • (1973) Lect. Notes in Mathematics , vol.352
    • Fay, J.D.1


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