Towards Baxter equation in supersymmetric Yang-Mills theories

  title={Towards Baxter equation in supersymmetric Yang-Mills theories},
  author={Andrei Belitsky and Gregory P. Korchemsky and Dieter M{\"u}ller},
We perform an explicit two-loop calculation of the dilatation operator acting on single trace Wilson operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in N = 2 and N = 4 supersymmetric Yang-Mills theories. We demonstrate that its eigenspectrum exhibits double degeneracy of opposite parity eigenstates which suggests that the two-loop dilatation operator is integrable. Moreover, the two-loop anomalous dimensions in the two theories differ from each… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 13 references


L. A. Takhtajan, L. D. Faddeev
Math. Survey 34 (1979) 11; V.E. Korepin, N.M. Bogoliubov, A.G. Izergin, Quantum inverse scattering method and correlation functions, (Cambridge Univ. Press, 1993); L.D. Faddeev, Int. J. Mod. Phys. A 10 (1995) 1845; Les Houches Lectures • 1995
View 2 Excerpts
Highly Influenced


B. Eden, M. Staudacher, J. Stat
0611 • 2006
View 3 Excerpts


N. Beisert, M. Staudacher
Phys. B 727 • 2005


A. S. Gorsky
Math. Phys. 142 • 2005


A. M. Polyakov
J. Mod. Phys. A 17 S1 • 2002
View 1 Excerpt


S. E. Derkachov
Phys. A 32 • 1999
View 1 Excerpt


D. Müller
Rev. D 49 (1994) 2525; Phys. Rev. D 58 (1998) 054005; A.V. Belitsky, D. Müller, Nucl. Phys. B 537 • 1999


J. M. Maldacena
Theor. Math. Phys. 2 (1998) 231; S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Phys. Lett. B 428 (1998) 105; E. Witten, Adv. Theor. Math. Phys. 2 • 1998
View 1 Excerpt

Evolution equations in QCD

L. N. Lipatov
Perspectives in Hadronic Physics, eds. S. Boffi, C. Ciofi Degli Atti, M. Giannini, World Scientific • 1998
View 1 Excerpt


E. K. Sklyanin
Notes Phys. 226 (1985) 196; Quantum inverse scattering method. Selected topics, “Quantum Group and Quantum Integrable Systems,” ed. Mo-Lin Ge, World Scientific, (Singapore, 1992) pp. 63–97, hep-th/9211111; Progr. Theor. Phys. Suppl. 118 • 1995
View 2 Excerpts

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