Quantum Spectral Curve for Planar N=4 Super-Yang-Mills Theory

被引:215
作者
Gromov, Nikolay [1 ,2 ]
Kazakov, Vladimir [3 ,4 ]
Leurent, Sebastien [5 ]
Volin, Dmytro [6 ,7 ]
机构
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
[2] St Petersburg INP, St Petersburg, Russia
[3] Ecole Normale Super, LPT, F-75005 Paris, France
[4] Univ Paris 06, F-75005 Paris, France
[5] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
[6] KTH Royal Inst Technol, NORDITA, SE-10691 Stockholm, Sweden
[7] Stockholm Univ, SE-10691 Stockholm, Sweden
关键词
D O I
10.1103/PhysRevLett.112.011602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new formalism, alternative to the old thermodynamic-Bethe-ansatz-like approach, for solution of the spectral problem of planar N = 4 super Yang-Mills theory. It takes a concise form of a nonlinear matrix Riemann-Hilbert problem in terms of a few Q functions. We demonstrate the formalism for two types of observables-local operators at weak coupling and cusped Wilson lines in a near Bogomol'nyi-Prasad-Sommerfield limit.
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页数:5
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共 30 条
  • [1] Arutyunov G., 2010, J HIGH ENERGY PHYS, V04, P069
  • [2] Arutyunov G., 2009, J HIGH ENERGY PHYS, V05, P068
  • [3] Balog J., 2010, J HIGH ENERGY PHYS, V06, P080
  • [4] The Bajnok-Janik formula and wrapping corrections
    Balog, Janos
    Hegedus, Arpad
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09):
  • [5] The algebraic curve of classical superstrings on AdS5 x S5
    Beisert, N
    Kazakov, VA
    Sakai, K
    Zarembo, K
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 263 (03) : 659 - 710
  • [6] Beisert N, 2005, J HIGH ENERGY PHYS
  • [7] Review of AdS/CFT Integrability: An Overview
    Beisert, Niklas
    Ahn, Changrim
    Alday, Luis F.
    Bajnok, Zoltan
    Drummond, James M.
    Freyhult, Lisa
    Gromov, Nikolay
    Janik, Romuald A.
    Kazakov, Vladimir
    Klose, Thomas
    Korchemsky, Gregory P.
    Kristjansen, Charlotte
    Magro, Marc
    Mcloughlin, Tristan
    Minahan, Joseph A.
    Nepomechie, Rafael I.
    Rej, Adam
    Roiban, Radu
    Schaefer-Nameki, Sakura
    Sieg, Christoph
    Staudacher, Matthias
    Torrielli, Alessandro
    Tseytlin, Arkady A.
    Vieira, Pedro
    Volin, Dmytro
    Zoubos, Konstantinos
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2012, 99 (1-3) : 3 - 32
  • [8] Hidden symmetries of the AdS5XS5 superstring -: art. no. 046002
    Bena, I
    Polchinski, J
    Roiban, R
    [J]. PHYSICAL REVIEW D, 2004, 69 (04):
  • [9] Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
    Bombardelli, Diego
    Fioravanti, Davide
    Tateo, Roberto
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (37)
  • [10] The Pomeron and gauge/string duality
    Brower, Richard C.
    Polchinski, Joseph
    Strassler, Matthew J.
    Tan, Chung-, I
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (12):