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Volumn 99, Issue 1-3, 2012, Pages 321-347

Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability

Author keywords

AdS CFT; integrability; Yang Mills

Indexed keywords


EID: 84856228333     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-011-0513-x     Document Type: Review
Times cited : (32)

References (64)
  • 1
    • 11744360684 scopus 로고
    • Discrete analogue of a generalized Toda equation
    • Hirota R.: Discrete analogue of a generalized Toda equation. J. Phys. Soc. Jpn. 50, 3785-3791 (1981).
    • (1981) J. Phys. Soc. Jpn. , vol.50 , pp. 3785-3791
    • Hirota, R.1
  • 2
  • 3
    • 33751275929 scopus 로고
    • Conformal weights of RSOS lattice models and their fusion hierarchies
    • Klümper A., Pearce P. A.: Conformal weights of RSOS lattice models and their fusion hierarchies. Physica A 183, 304 (1992).
    • (1992) Physica A , vol.183 , pp. 304
    • Klümper, A.1    Pearce, P.A.2
  • 4
    • 0001663460 scopus 로고
    • Functional relations in solvable lattice models. 1: functional relations and representation theory
    • Kuniba A., Nakanishi T., Suzuki J.: Functional relations in solvable lattice models. 1: functional relations and representation theory. Int. J. Mod. Phys. A 9, 5215 (1994).
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 5215
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 5
    • 0001372489 scopus 로고
    • Hirota equation as an example of integrable symplectic map
    • Faddeev L., Volkov A.: Hirota equation as an example of integrable symplectic map. Lett. Math. Phys. 32, 125 (1994).
    • (1994) Lett. Math. Phys. , vol.32 , pp. 125
    • Faddeev, L.1    Volkov, A.2
  • 6
    • 0000363878 scopus 로고
    • Thermodynamic Bethe ansatz in relativistic models: scaling 3-state potts and Lee-Yang models
    • Zamolodchikov Al. B.: Thermodynamic Bethe ansatz in relativistic models: scaling 3-state potts and Lee-Yang models. Nuclear Physics B 342, 695 (1990).
    • (1990) Nuclear Physics B , vol.342 , pp. 695
    • Zamolodchikov, A.B.1
  • 7
    • 0030543712 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
    • Bazhanov V. V., Lukyanov S. L., Zamolodchikov A. B.: Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz. Commun. Math. Phys. 177, 381 (1996).
    • (1996) Commun. Math. Phys. , vol.177 , pp. 381
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 8
  • 9
    • 0031557519 scopus 로고    scopus 로고
    • Quantum field theories in finite volume: excited state energies
    • Bazhanov V. V., Lukyanov S. L., Zamolodchikov A. B.: Quantum field theories in finite volume: excited state energies. Nucl. Phys. B 489, 487 (1997).
    • (1997) Nucl. Phys. B , vol.489 , pp. 487
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 10
    • 0030607741 scopus 로고    scopus 로고
    • Excited states by analytic continuation of TBA equations
    • Dorey P., Tateo R.: Excited states by analytic continuation of TBA equations. Nucl. Phys. B 482, 639 (1996).
    • (1996) Nucl. Phys. B , vol.482 , pp. 639
    • Dorey, P.1    Tateo, R.2
  • 11
    • 0032559515 scopus 로고    scopus 로고
    • From fusion hierarchy to excited state TBA
    • Juttner G., Klumper A., Suzuki J.: From fusion hierarchy to excited state TBA. Nucl. Phys. B 512, 581 (1998).
    • (1998) Nucl. Phys. B , vol.512 , pp. 581
    • Juttner, G.1    Klumper, A.2    Suzuki, J.3
  • 12
    • 0000551607 scopus 로고
    • Excited state thermodynamics
    • Fendley P.: Excited state thermodynamics. Nucl. Phys. B 374, 667 (1992).
    • (1992) Nucl. Phys. B , vol.374 , pp. 667
    • Fendley, P.1
  • 13
    • 0042078579 scopus 로고    scopus 로고
    • Excited state Destri-De Vega equation for sine-Gordon and restricted sine-Gordon models
    • [arXiv:hep-th/9608091]
    • Fioravanti D., Mariottini A., Quattrini E., Ravanini F.: Excited state Destri-De Vega equation for sine-Gordon and restricted sine-Gordon models. Phys. Lett. B 390, 243 (1997) [arXiv: hep-th/9608091].
    • (1997) Phys. Lett. B , vol.390 , pp. 243
    • Fioravanti, D.1    Mariottini, A.2    Quattrini, E.3    Ravanini, F.4
  • 14
    • 0031582947 scopus 로고    scopus 로고
    • Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r + 1{pipe}s + 1)
    • Tsuboi Z.: Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r + 1{pipe}s + 1). J. Phys. A 30, 7975 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 7975
    • Tsuboi, Z.1
  • 15
    • 0032047146 scopus 로고    scopus 로고
    • Analytic Bethe Ansatz and functional equations associated any simple root systems of the Lie superalgebra sl(r + 1{pipe}s + 1)
    • Tsuboi Z.: Analytic Bethe Ansatz and functional equations associated any simple root systems of the Lie superalgebra sl(r + 1{pipe}s + 1). Physica A 252, 565 (1998).
    • (1998) Physica A , vol.252 , pp. 565
    • Tsuboi, Z.1
  • 16
    • 36148998787 scopus 로고    scopus 로고
    • Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics
    • Kazakov V., Sorin A. S., Zabrodin A.: Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Nucl. Phys. B 790, 345 (2008).
    • (2008) Nucl. Phys. B , vol.790 , pp. 345
    • Kazakov, V.1    Sorin, A.S.2    Zabrodin, A.3
  • 17
    • 58149279638 scopus 로고    scopus 로고
    • From characters to quantum (super)spin chains via fusion
    • Kazakov V., Vieira P.: From characters to quantum (super)spin chains via fusion. JHEP 0810, 050 (2008).
    • (2008) Jhep , vol.810 , pp. 050
    • Kazakov, V.1    Vieira, P.2
  • 19
    • 51649095832 scopus 로고    scopus 로고
    • Baxter's Q-operators for supersymmetric spin chains
    • Bazhanov V. V., Tsuboi Z.: Baxter's Q-operators for supersymmetric spin chains. Nucl. Phys. B 805, 451 (2008).
    • (2008) Nucl. Phys. B , vol.805 , pp. 451
    • Bazhanov, V.V.1    Tsuboi, Z.2
  • 21
    • 76149096327 scopus 로고    scopus 로고
    • Finite volume spectrum of 2D Field theories from Hirota dynamics
    • Gromov N., Kazakov V., Vieira P.: Finite volume spectrum of 2D Field theories from Hirota dynamics. JHEP 0912, 060 (2009).
    • (2009) Jhep , vol.912 , pp. 060
    • Gromov, N.1    Kazakov, V.2    Vieira, P.3
  • 22
    • 70349324587 scopus 로고    scopus 로고
    • Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory
    • Gromov N., Kazakov V., Vieira P.: Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory. Phys. Rev. Lett. 103, 131601 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 131601
    • Gromov, N.1    Kazakov, V.2    Vieira, P.3
  • 23
    • 70449686254 scopus 로고    scopus 로고
    • Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
    • Bombardelli D., Fioravanti D., Tateo R.: Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal. J. Phys. A 42, 375401 (2009).
    • (2009) J. Phys. A , vol.42 , pp. 375401
    • Bombardelli, D.1    Fioravanti, D.2    Tateo, R.3
  • 24
    • 77949722954 scopus 로고    scopus 로고
    • Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory: TBA and excited states
    • Gromov N., Kazakov V., Kozak A., Vieira P.: Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory: TBA and excited states. Lett. Math. Phys. 91, 265 (2010).
    • (2010) Lett. Math. Phys. , vol.91 , pp. 265
    • Gromov, N.1    Kazakov, V.2    Kozak, A.3    Vieira, P.4
  • 25
    • 84856380979 scopus 로고    scopus 로고
    • Thermodynamics Bathe Ansatz for the AdS5 × S5
    • Arutyunov G., Frolov S.: Thermodynamics Bathe Ansatz for the AdS5 × S5. JHEP 0905, 068 (2009).
    • (2009) Jhep , vol.905 , pp. 068
    • Arutyunov, G.1    Frolov, S.2
  • 26
    • 36849078584 scopus 로고    scopus 로고
    • Wrapping interactions at strong coupling-the giant magnon
    • Janik R. A., Lukowski T.: Wrapping interactions at strong coupling-the giant magnon. Phys. Rev. D 76, 126008 (2007).
    • (2007) Phys. Rev. D , vol.76 , pp. 126008
    • Janik, R.A.1    Lukowski, T.2
  • 27
    • 47249152717 scopus 로고    scopus 로고
    • A new derivation of Luscher F-term and fluctuations around the giant magnon
    • Heller M. P., Janik R. A., Lukowski T.: A new derivation of Luscher F-term and fluctuations around the giant magnon. JHEP 0806, 036 (2008).
    • (2008) Jhep , vol.806 , pp. 036
    • Heller, M.P.1    Janik, R.A.2    Lukowski, T.3
  • 28
    • 54849434592 scopus 로고    scopus 로고
    • Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
    • Bajnok Z., Janik R. A.: Four-loop perturbative Konishi from strings and finite size effects for multiparticle states. Nucl. Phys. B 807, 625 (2009).
    • (2009) Nucl. Phys. B , vol.807 , pp. 625
    • Bajnok, Z.1    Janik, R.A.2
  • 30
    • 50549093976 scopus 로고    scopus 로고
    • Anomalous dimension with wrapping at four loops in N = 4 SYM
    • Fiamberti F., Santambrogio A., Sieg C., Zanon D.: Anomalous dimension with wrapping at four loops in N = 4 SYM. Nucl. Phys. B 805, 231 (2008).
    • (2008) Nucl. Phys. B , vol.805 , pp. 231
    • Fiamberti, F.1    Santambrogio, A.2    Sieg, C.3    Zanon, D.4
  • 33
    • 77049094862 scopus 로고    scopus 로고
    • Five-loop anomalous dimension of twist-two operators
    • Lukowski T., Rej A., Velizhanin V. N.: Five-loop anomalous dimension of twist-two operators. Nucl. Phys. B 831, 105 (2010).
    • (2010) Nucl. Phys. B , vol.831 , pp. 105
    • Lukowski, T.1    Rej, A.2    Velizhanin, V.N.3
  • 34
    • 77954966609 scopus 로고    scopus 로고
    • 5-loop Konishi from linearized TBA and the XXX magnet
    • Balog J., Hegedus A.: 5-loop Konishi from linearized TBA and the XXX magnet. JHEP 1006, 080 (2010).
    • (2010) Jhep , vol.1006 , pp. 080
    • Balog, J.1    Hegedus, A.2
  • 36
    • 84856233119 scopus 로고    scopus 로고
    • Gromov N.: JHEP 1001, 112 (2010).
    • (2010) Jhep , vol.1001 , pp. 112
    • Gromov, N.1
  • 37
    • 77954919438 scopus 로고    scopus 로고
    • Y-system and quasi-classical strings
    • Gromov N., Kazakov V., Tsuboi Z.: Y-system and quasi-classical strings. JHEP 07, 097 (2010).
    • (2010) Jhep , vol.7 , pp. 097
    • Gromov, N.1    Kazakov, V.2    Tsuboi, Z.3
  • 38
    • 77953105319 scopus 로고    scopus 로고
    • Exact spectrum of planar N = 4 supersymmetric Yang-Mills theory: Konishi dimension at any coupling
    • [arXiv:0906.4240 [hep-th]]
    • Gromov N., Kazakov V., Vieira P.: Exact spectrum of planar N = 4 supersymmetric Yang-Mills theory: Konishi dimension at any coupling. Phys. Rev. Lett. 104, 211601 (2010) [arXiv: 0906. 4240 [hep-th]].
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 211601
    • Gromov, N.1    Kazakov, V.2    Vieira, P.3
  • 40
    • 0347811692 scopus 로고    scopus 로고
    • Gauge theory correlators from non-critical string theory
    • Gubser S. S., Klebanov I. R., Polyakov A. M.: Gauge theory correlators from non-critical string theory. Phys. Lett. B 428, 105 (1998).
    • (1998) Phys. Lett. B , vol.428 , pp. 105
    • Gubser, S.S.1    Klebanov, I.R.2    Polyakov, A.M.3
  • 46
    • 84856192356 scopus 로고    scopus 로고
    • Review of AdS/CFT Integrability, Chapter II. 4: The Spectral Curve
    • Published in this volume. arXiv: 1012. 3989 [hep-th]
    • Schafer-Nameki, S.: Review of AdS/CFT Integrability, Chapter II. 4: The Spectral Curve. Lett. Math. Phys. Published in this volume. arXiv: 1012. 3989 [hep-th].
    • Lett. Math. Phys
    • Schafer-Nameki, S.1
  • 47
    • 1442356448 scopus 로고    scopus 로고
    • Character formula for infinite dimensional unitarizable modules of the general linear superalgebra
    • Cheng S.-J., Lam N., Zhang R. B.: Character formula for infinite dimensional unitarizable modules of the general linear superalgebra. J. Algebra 273, 780 (2004).
    • (2004) J. Algebra , vol.273 , pp. 780
    • Cheng, S.-J.1    Lam, N.2    Zhang, R.B.3
  • 48
    • 36048971726 scopus 로고    scopus 로고
    • Rational semistandard tableaux and character formula for the Lie superalgebra ĝl∞{pipe}∞
    • Kwon J.-H.: Rational semistandard tableaux and character formula for the Lie superalgebra ĝl∞{pipe}∞. Adv. Math. 217, 713 (2008).
    • (2008) Adv. Math. , vol.217 , pp. 713
    • Kwon, J.-H.1
  • 49
    • 9144246394 scopus 로고    scopus 로고
    • Planar N = 4 gauge theory and the Inozemtsev long range spin chain
    • Serban D., Staudacher M.: Planar N = 4 gauge theory and the Inozemtsev long range spin chain. JHEP 0406, 001 (2004).
    • (2004) Jhep , vol.406 , pp. 001
    • Serban, D.1    Staudacher, M.2
  • 50
    • 23844548260 scopus 로고    scopus 로고
    • Complete spectrum of long operators in N = 4 SYM at one loop
    • Beisert N., Kazakov V. A., Sakai K., Zarembo K.: Complete spectrum of long operators in N = 4 SYM at one loop. JHEP 0507, 030 (2005).
    • (2005) Jhep , vol.507 , pp. 030
    • Beisert, N.1    Kazakov, V.A.2    Sakai, K.3    Zarembo, K.4
  • 51
    • 0001653696 scopus 로고
    • Exact results in the two-dimensional U(1) symmetric thirring model
    • Japaridze G., Nersesian A., Wiegmann P.: Exact results in the two-dimensional U(1) symmetric thirring model. Nucl. Phys. B 230, 511 (1984).
    • (1984) Nucl. Phys. B , vol.230 , pp. 511
    • Japaridze, G.1    Nersesian, A.2    Wiegmann, P.3
  • 52
    • 0000784345 scopus 로고
    • Factorized S matrix and the Bethe Ansatz For simple Lie groups
    • Ogievetsky E., Wiegmann P.: Factorized S matrix and the Bethe Ansatz For simple Lie groups. Phys. Lett. B 168, 360 (1986).
    • (1986) Phys. Lett. B , vol.168 , pp. 360
    • Ogievetsky, E.1    Wiegmann, P.2
  • 53
    • 0002525113 scopus 로고
    • The principal chiral field in two-dimensions on classical Lie algebras: the Bethe Ansatz solution and factorized theory of scattering
    • Ogievetsky E., Wiegmann P., Reshetikhin N.: The principal chiral field in two-dimensions on classical Lie algebras: the Bethe Ansatz solution and factorized theory of scattering. Nucl. Phys. B 280, 45 (1987).
    • (1987) Nucl. Phys. B , vol.280 , pp. 45
    • Ogievetsky, E.1    Wiegmann, P.2    Reshetikhin, N.3
  • 54
    • 33947625142 scopus 로고    scopus 로고
    • A symplectic structure for string theory on integrable backgrounds
    • Dorey N., Vicedo B.: A symplectic structure for string theory on integrable backgrounds. JHEP 0703, 045 (2007).
    • (2007) Jhep , vol.703 , pp. 045
    • Dorey, N.1    Vicedo, B.2
  • 56
    • 35649023849 scopus 로고    scopus 로고
    • 5 superstring quantum spectrum from the algebraic curve
    • 5 superstring quantum spectrum from the algebraic curve. Nucl. Phys. B 789, 175 (2008).
    • (2008) Nucl. Phys. B , vol.789 , pp. 175
    • Gromov, N.1    Vieira, P.2
  • 60
    • 42749104371 scopus 로고    scopus 로고
    • The analytic Bethe Ansatz for a chain with centrally extended (2{pipe}2) symmetry
    • Beisert N.: The analytic Bethe Ansatz for a chain with centrally extended su(2{pipe}2) symmetry. J. Stat. Mech. 0701, P017 (2007).
    • (2007) J. Stat. Mech. , vol.701
    • Beisert, N.1
  • 61
    • 33645845388 scopus 로고    scopus 로고
    • The AdS(5) x S**5 superstring worldsheet S-matrix crossing symmetry
    • Janik R. A.: The AdS(5) x S**5 superstring worldsheet S-matrix crossing symmetry. Phys. Rev. D 73, 086006 (2006).
    • (2006) Phys. Rev. D , vol.73 , pp. 086006
    • Janik, R.A.1
  • 62
    • 84856230440 scopus 로고    scopus 로고
    • Review of AdS/CFT Integrability, Chapter III. 3: The Dressing Factor
    • Published in this volume. arXiv: 1012. 3992 [hep-th]
    • Vieira, P., Volin, D.: Review of AdS/CFT Integrability, Chapter III. 3: The Dressing Factor. Lett. Math. Phys. Published in this volume. arXiv: 1012. 3992 [hep-th].
    • Lett. Math. Phys
    • Vieira, P.1    Volin, D.2
  • 64
    • 79952128436 scopus 로고    scopus 로고
    • Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
    • [arXiv:1011.3158 [hep-th]]
    • Benichou R.: Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation. JHEP 1101, 066 (2011) [arXiv: 1011. 3158 [hep-th]].
    • (2011) Jhep , vol.1101 , pp. 066
    • Benichou, R.1


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