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2014

Quantum spectral curve for arbitrary state/operator in AdS$_5$/CFT$_4$

Gromov, Nikolay, Kazakov, Vladimir, Leurent, Sebastien et al.

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We give a derivation of quantum spectral curve (QSC) - a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4 SYM theory proposed in our recent paper Phys.Rev.Lett.

112 (2014).
We also generalize this construction to all local single trace operators of the theory, in contrast to the TBA-like approaches worked out only for a limited class of states.
We reveal a rich algebraic and analytic structure of the QSC in terms of a so called Q-system -- a finite set of Baxter-like Q-functions.

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D. Correa, J. Maldacena, and A. Sever, “The quark anti-quark potential and the cusp anomalous dimension from a TBA equation,” JHEP
Original
1913
Earlier work this paper cites.
N. Gromov, V. Kazakov, S. Leurent, and D. Volin, “Quantum spectral curve for A d S 5 / C F T 4 AdS_{5}/CFT_{4} ,” Phys.Rev.Lett
Original
1939
Earlier work this paper cites.
N. Gromov, F. Levkovich-Maslyuk, and G. Sizov, “Analytic solution of Bremsstrahlung TBA II: turning on the sphere angle,” JHEP
Original
1944
Earlier work this paper cites.
P. Kulish and N. Y. Reshetikhin, “Generalized Heisenberg ferromagnet and the Gross-Neveu model,” J. Exp. Theor. Phys
1981
Earlier work this paper cites.
P. Kulish, “Integrable graded magnets,” J.Sov.Math
1986
Earlier work this paper cites.
H. Furutsu and K. Nishiyama, “Classification of irreducible super-unitary representations of su(p,q | | n),”. Communications in Mathematical Physics
1991
Earlier work this paper cites.
H. P. Jakobsen, “The full set of unitarizable highest weight modules of basic classical lie superalgebras,”. Memoirs of A.M.S
1994
Earlier work this paper cites.
B. Sutherland, “Low-lying eigenstates of the one-dimensional heisenberg ferromagnet for any magnetization and momentum,” Phys.Rev.Lett
1995
Earlier work this paper cites.
P. Dorey and R. Tateo, “Excited states by analytic continuation of TBA equations,” Nucl.Phys
1996
Earlier work this paper cites.
A. Okounkov and G. Olshanski, “Shifted schur functions,”. St. Petersburg Math. J
1996
Earlier work this paper cites.
I. Krichever, O. Lipan, P. Wiegmann, and A. Zabrodin, “Quantum integrable models and discrete classical Hirota equations,” Commun.Math.Phys
1997
Earlier work this paper cites.
Z. Tsuboi, “Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1 | | s+1),” J.Phys
Original
1997
Earlier work this paper cites.
V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, “Integrable Structure of Conformal Field Theory II. Q- operator and DDV equation,” Commun.Math.Phys
1997
Earlier work this paper cites.
A. Molev, “Factorial supersymmetric schur functions and super capelli identities,”. Amer. Math. Soc. Transl. Ser
Original
1997
Earlier work this paper cites.
Z. Tsuboi, “Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1 | | s+1),” Physica
Original
1998
Earlier work this paper cites.
G. Pronko and Y. Stroganov, “Bethe Equations ”on the Wrong Side of Equator”,” J.Phys
1999
Earlier work this paper cites.
S. Derkachov, “Baxter’s Q-operator for the homogeneous XXX spin chain,” J.Phys
1999
Earlier work this paper cites.
A. Santambrogio and D. Zanon, “Exact anomalous dimensions of N = 4 Yang-Mills operators with large R charge,” Phys.Lett
2002
Earlier work this paper cites.
S. E. Derkachov, G. Korchemsky, and A. Manashov, “Separation of variables for the quantum SL(2,R) spin chain,” JHEP
2003
Earlier work this paper cites.
N. Beisert and M. Staudacher, “The 𝒩 \mathcal{N} =4 SYM Integrable Super Spin Chain,” Nucl.Phys
2003
Earlier work this paper cites.
N. Beisert and M. Staudacher, “Long-range P S U ( 2 , 2 | 4 ) PSU(2,2|4) Bethe Ansätze for gauge theory and strings,” Nucl.Phys
2005
Earlier work this paper cites.
M. Staudacher, “The factorized S-matrix of CFT/AdS,” JHEP
2005
Earlier work this paper cites.
N. Beisert, V. Kazakov, K. Sakai, and K. Zarembo, “The algebraic curve of classical superstrings on AdS 5 × {}_{5}\times S 5 ,” Commun.Math.Phys
2006
Earlier work this paper cites.
N. Beisert, R. Hernandez, and E. Lopez, “A crossing-symmetric phase for AdS(5) x S 5 strings,” JHEP
2006
Earlier work this paper cites.
R. A. Janik, “The AdS 5 xS 5 superstring worldsheet S-matrix and crossing symmetry,” Phys.Rev
2006
Earlier work this paper cites.

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