Quick search Find article
Quick search
Find article

On integrability of classical superstrings in AdS5 × S5

Luis Fernando Alday1, Gleb Arutyunov1 and Arkady A. Tseytlin2

Show affiliations


[1]
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
Preprint 
 
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
CrossRef  Preprint 
 
E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
Preprint 
[2]
M.B. Green and J.H. Schwarz, Covariant description of superstrings 1984 Phys. Lett. B 136 367
CrossRef 
 
M.B. Green and J.H. Schwarz, Properties of the covariant formulation of superstring theories 1984 Nucl. Phys. B 243 285
CrossRef 
 
M.T. Grisaru, P.S. Howe, L. Mezincescu, B. Nilsson and P.K. Townsend, N = 2 superstrings in a supergravity background 1985 Phys. Lett. B 162 116
CrossRef 
[3]
R.R. Metsaev and A.A. Tseytlin, Type-IIB superstring action in AdS 5 × S 5 background 1998 Nucl. Phys. B 533 109 [hep-th/9805028]
CrossRef  Preprint 
[4]
K. Pohlmeyer, Integrable hamiltonian systems and interactions through quadratic constraints 1976 Comm. Math. Phys. 46 207
CrossRef 
 
M. Lüscher and K. Pohlmeyer, Scattering of massless lumps and nonlocal charges in the two-dimensional classical nonlinear sigma model 1978 Nucl. Phys. B 137 46
CrossRef 
[5]
R.R. Metsaev, C.B. Thorn and A.A. Tseytlin, Light-cone superstring in AdS space-time 2001 Nucl. Phys. B 596 151 [hep-th/0009171]
CrossRef  Preprint 
[6]
G. Mandal, N.V. Suryanarayana and S.R. Wadia, Aspects of semiclassical strings in AdS 5 2002 Phys. Lett. B 543 81 [hep-th/0206103]
CrossRef  Preprint 
[7]
I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS 5 × S 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
CrossRef  Preprint 
[8]
A.M. Polyakov, Conformal fixed points of unidentified gauge theories 2004 Mod. Phys. Lett. A 19 1649 [hep-th/0405106]
CrossRef  Preprint 
[9]
N. Berkovits, Super-Poincaré covariant quantization of the superstring 2000 J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
IOPscience  Preprint 
 
N. Berkovits and D.Z. Marchioro, Relating the Green-Schwarz and pure spinor formalisms for the superstring 2005 J. High Energy Phys. JHEP01(2005)018 [hep-th/0412198]
IOPscience  Preprint 
[10]
B.C. Vallilo, Flat currents in the classical AdS 5 × S 5 pure spinor superstring 2004 J. High Energy Phys. JHEP03(2004)037 [hep-th/0307018]
IOPscience  Preprint 
 
N. Berkovits, Brst cohomology and nonlocal conserved charges 2005 J. High Energy Phys. JHEP02(2005)060 [hep-th/0409159]
IOPscience  Preprint 
[11]
V.M. Braun, G.P. Korchemsky and D. Muller, The uses of conformal symmetry in QCD 2003 Prog. Part. Nucl. Phys. 51 311-398 [hep-ph/0306057]
CrossRef  Preprint 
 
A.V. Belitsky, V.M. Braun, A.S. Gorsky and G.P. Korchemsky, Integrability in QCD and beyond 2004 Int. J. Mod. Phys. A 19 4715 [hep-th/0407232]
CrossRef  Preprint 
 
A.V. Belitsky, A.S. Gorsky and G.P. Korchemsky, Gauge/string duality for QCD conformal operators 2003 Nucl. Phys. B 667 3 [hep-th/0304028]
CrossRef  Preprint 
[12]
J.A. Minahan and K. Zarembo, The bethe-ansatz for N = 4 super Yang-Mills 2003 J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
IOPscience  Preprint 
 
N. Beisert, The complete one-loop dilatation operator of N = 4 super Yang-Mills theory 2004 Nucl. Phys. B 676 3 [hep-th/0307015]
CrossRef  Preprint 
 
N. Beisert and M. Staudacher, The N = 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
CrossRef  Preprint 
 
A.V. Belitsky, S.E. Derkachov, G.P. Korchemsky and A.N. Manashov, Dilatation operator in (super-) Yang-Mills theories on the light-cone 2005 Nucl. Phys. B 708 115 [hep-th/0409120]
CrossRef  Preprint 
[13]
N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N = 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
CrossRef  Preprint 
 
D. Serban and M. Staudacher, Planar N = 4 gauge theory and the inozemtsev long range spin chain 2004 J. High Energy Phys. JHEP06(2004)001 [hep-th/0401057]
IOPscience  Preprint 
 
N. Beisert, The SU(2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
CrossRef  Preprint 
 
N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N = 4 super Yang-Mills 2004 J. High Energy Phys. JHEP07(2004)075 [hep-th/0405001]
IOPscience  Preprint 
 
G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
IOPscience  Preprint 
 
G. Arutyunov, Quantum strings and Bethe equations [hep-th/0412072]
Preprint 
 
M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
IOPscience  Preprint 
[14]
N. Beisert, The dilatation operator of N = 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
CrossRef  Preprint 
[15]
M. Kruczenski, Spin chains and string theory 2004 Phys. Rev. Lett. 93 161602 [hep-th/0311203]
CrossRef  Preprint  PubMed 
 
M. Kruczenski, A.V. Ryzhov and A.A. Tseytlin, Large spin limit of AdS 5 × S 5 string theory and low energy expansion of ferromagnetic spin chains 2004 Nucl. Phys. B 692 3 [hep-th/0403120]
CrossRef  Preprint 
 
R. Hernandez and E. Lopez, The SU(3) spin chain sigma model and string theory, 2004 J. High Energy Phys. JHEP04(2004)052 [hep-th/0403139]
IOPscience  Preprint 
 
J. Stefanski, B. and A.A. Tseytlin, Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations 2004 J. High Energy Phys. JHEP05(2004)042 [hep-th/0404133]
IOPscience  Preprint 
 
A. Mikhailov, Speeding strings 2003 J. High Energy Phys. JHEP12(2003)058 [hep-th/0311019]
IOPscience  Preprint 
 
A. Mikhailov, Notes on fast moving strings [hep-th/0409040]
Preprint 
 
M. Kruczenski and A.A. Tseytlin, Semiclassical relativistic strings in S 5 and long coherent operators in N = 4 SYM theory 2004 J. High Energy Phys. JHEP09(2004)038 [hep-th/0406189]
IOPscience  Preprint 
[16]
A. Mikhailov, Supersymmetric null-surfaces 2004 J. High Energy Phys. JHEP09(2004)068 [hep-th/0404173]
IOPscience  Preprint 
 
R. Hernandez and E. Lopez, Spin chain sigma models with fermions 2004 J. High Energy Phys. JHEP11(2004)079 [hep-th/0410022]
IOPscience  Preprint 
 
B. Stefanski and A.A. Tseytlin, Super spin chain coherent state actions and AdS5 × S5 superstring to appear

[17]
R.R. Metsaev and A.A. Tseytlin, Superstring action in AdS 5 × S 5 : kappa-symmetry light cone gauge 2001 Phys. Rev. D 63 046002 [hep-th/0007036]
CrossRef  Preprint 
[18]
L.D. Faddeev and L.A. Takhtajan, Hamiltonian methods in the theory of solitons Springer, Berlin 1987

 
L.D. Faddeev, Integrable models in (1+1)-dimensional quantum field theory in Recent advances in field theory and statistical mechanics proceedings of the Les Houches Summer School 1982, North-Holland: Amsterdam 1984, pp. 561-608

[19]
G. Arutyunov, S. Frolov, J. Russo and A.A. Tseytlin, Spinning strings in AdS 5 × S 5 and integrable systems 2003 Nucl. Phys. B 671 3 [hep-th/0307191]
CrossRef  Preprint 
 
G. Arutyunov, J. Russo and A.A. Tseytlin, Spinning strings in AdS 5 × S 5 : new integrable system relations 2004 Phys. Rev. D 69 086009 [hep-th/0311004]
CrossRef  Preprint 
[20]
G. Arutyunov and M. Staudacher, Matching higher conserved charges for strings and spins 2004 J. High Energy Phys. JHEP03(2004)004 [hep-th/0310182]
IOPscience  Preprint 
 
G. Arutyunov and M. Staudacher, Two-loop commuting charges and the string/gauge duality [hep-th/0403077]
Preprint 
 
J. Engquist, J.A. Minahan and K. Zarembo, Yang-Mills duals for semiclassical strings on AdS 5 × S 5 2003 J. High Energy Phys. JHEP11(2003)063 [hep-th/0310188]
IOPscience  Preprint 
 
J. Engquist, Higher conserved charges and integrability for spinning strings in AdS 5 × S 5 2004 J. High Energy Phys. JHEP04(2004)002 [hep-th/0402092]
IOPscience  Preprint 
[21]
V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT 2004 J. High Energy Phys. JHEP05(2004)024 [hep-th/0402207]
IOPscience  Preprint 
 
V.A. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT 2004 J. High Energy Phys. JHEP10(2004)060 [hep-th/0410105]
IOPscience  Preprint 
[22]
G. Arutyunov and S. Frolov, Integrable hamiltonian for classical strings on AdS 5 × S 5 2005 J. High Energy Phys. JHEP02(2005)059 [hep-th/0411089]
IOPscience  Preprint 
[23]
N. Beisert, V.A. Kazakov and K. Sakai, Algebraic curve for the SO(6) sector of AdS/CFT, [hep-th/0410253]
Preprint 
 
S. Schafer-Nameki, The algebraic curve of 1-loop planar N = 4 SYM 2005 Nucl. Phys. B 714 3 [hep-th/0412254]
CrossRef  Preprint 
[24]
L.F. Alday, Non-local charges on AdS 5 × S 5 and pp-waves 2003 J. High Energy Phys. JHEP12(2003)033 [hep-th/0310146]
IOPscience  Preprint 
[25]
I. Swanson, Quantum string integrability and AdS/CFT 2005 Nucl. Phys. B 709 443 [hep-th/0410282]
CrossRef  Preprint 
 
I. Swanson, On the integrability of string theory in AdS 5 × S 5 [hep-th/0405172]
Preprint 
[26]
L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory 2003 J. High Energy Phys. JHEP10(2003)017 [hep-th/0308089]
IOPscience  Preprint 
 
L. Dolan and C.R. Nappi, Spin models and superconformal Yang-Mills theory 2005 Nucl. Phys. B 717 361 [hep-th/0411020]
CrossRef  Preprint 
 
A. Agarwal and S.G. Rajeev, Yangian symmetries of matrix models and spin chains: the dilatation operator of N = 4 SYM [hep-th/0409180]
Preprint 
 
M. Wolf, On hidden symmetries of a super gauge theory and twistor string theory 2005 J. High Energy Phys. JHEP02(2005)018 [hep-th/0412163]
IOPscience  Preprint 
[27]
M. Hatsuda and K. Yoshida, Classical integrability and super yangian of superstring on AdS 5 × S 5 [hep-th/0407044]
Preprint 
 
A. Das, J. Maharana, A. Melikyan and M. Sato, The algebra of transition matrices for the AdS 5 × S 5 superstring 2004 J. High Energy Phys. JHEP12(2004)055 [hep-th/0411200]
IOPscience  Preprint 
[28]
R. Roiban and W. Siegel, Superstrings on AdS 5 × S 5 supertwistor space 2000 J. High Energy Phys. JHEP11(2000)024 [hep-th/0010104]
IOPscience  Preprint 
[29]
R.R. Metsaev and A.A. Tseytlin, Superparticle and superstring in AdS 3 × S 3 Ramond-Ramond background in light-cone gauge 2001 J. Math. Phys. 42 2987 [hep-th/0011191]
CrossRef  Preprint 
[30]
N. Beisert, V.A. Kazakov, K. Sakai and K. Zarembo, The algebraic curve of classical superstrings on AdS 5 × S 5 [hep-th/0502226]
Preprint 
crossref member

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.