630 research outputs found
Generalized Scaling Function at Strong Coupling
We considered folded spinning string in AdS_5 x S^5 background dual to the
Tr(D^S Phi^J) operators of N=4 SYM theory. In the limit S,J-> \infty and l=pi
J/\sqrt\lambda\log S fixed we compute the string energy with the 2-loop
accuracy in the worldsheet coupling \sqrt\lambda from the asymptotical Bethe
ansatz. In the limit l-> 0 the result is finite due to the massive cancelations
with terms coming from the conjectured dressing phase. We also managed to
compute all leading logarithm terms l^{2m}\log^n l/\lambda^n/2 to an arbitrary
order in perturbation theory. In particular for m=1 we reproduced results of
Alday and Maldacena computed from a sigma model. The method developed in this
paper could be used for a systematic expansion in 1/\sqrt\lambda and also at
weak coupling
The Holographic Fishchain
We present the first-principle derivation of a weak-strong duality between
the fishnet theory in four dimensions and a discretized string-like model
living in five dimensions. At strong coupling, the dual description becomes
classical and we demonstrate explicitly the classical integrability of the
model. We test our results by reproducing the strong coupling limit of the
-point correlator computed before non-perturbatively from the conformal
partial wave expansion. Due to the extreme simplicity of our model, it could
provide an ideal playground for holography with no super-symmetry. Furthermore,
since the fishnet model and SYM theory are continuously linked our
consideration could shed light on the derivation of AdS/CFT for the latter.Comment: 5 pages. v2: references added, v3 - acknowledgment adde
Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
We derive the asymptotic Bethe ansatz (AFS equations) for the string on S^3 x
R sector of AdS_5 x S^5 from the integrable nonhomogeneous dynamical spin chain
for the string sigma model proposed in GKSV. It is clear from the derivation
that AFS equations can be viewed only as an effective model describing a
certain regime of a more fundamental inhomogeneous spin chain.Comment: 16 page
Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony,
Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz
(TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic
Bethe equations which we conjecture. We also propose generalization of the TBA
equations for excited states. The recently proposed Y-system is completely
consistent with the TBA equations for a large subsector of the theory, but
should be modified in general. We find the general asymptotic infinite length
solution of the Y-system, and also several solutions to all wrapping orders in
the strong coupling scaling limit. To make a comparison with results obtained
from string theory, we assume that the all-loop Bethe ansatz of N.G. and P.
Vieira is the valid worldsheet theory description in the asymptotic regime. In
this case we find complete agreement, to all orders in wrappings, between the
solution of our Y-system and generic quasi-classical string spectrum in AdS3 x
S.Comment: references added + minor changes; published versio
QCD Pomeron from AdS/CFT Quantum Spectral Curve
Using the methods of the recently proposed Quantum Spectral Curve (QSC)
originating from integrability of Super--Yang-Mills theory we
analytically continue the scaling dimensions of twist-2 operators and reproduce
the so-called pomeron eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL)
equation. Furthermore, we recovered the Faddeev-Korchemsky Baxter equation for
Lipatov's spin chain and also found its generalization for the next-to-leading
order in the BFKL scaling. Our results provide a non-trivial test of QSC
describing the exact spectrum in planar SYM at infinitely many
loops for a highly nontrivial non-BPS quantity and also opens a way for a
systematic expansion in the BFKL regime.Comment: 22 pages, 2 figures, minor corrections, references adde
BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
We developed a general non-perturbative framework for the BFKL spectrum of
planar N=4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to
study the spectrum in the whole generality, extending previously known methods
to arbitrary values of conformal spin . We show how to apply our approach to
reproduce all known perturbative results for the Balitsky-Fadin-Kuraev-Lipatov
(BFKL) Pomeron eigenvalue and get new predictions. In particular, we re-derived
the Faddeev-Korchemsky Baxter equation for the Lipatov spin chain with non-zero
conformal spin reproducing the corresponding BFKL kernel eigenvalue. We also
get new non-perturbative analytic results for the Pomeron eigenvalue in the
vicinity of point and we obtained an explicit formula for
the BFKL intercept function for arbitrary conformal spin up to the 3-loop order
in the small coupling expansion and partial result at the 4-loop order. In
addition, we implemented the numerical algorithm of arXiv:1504.06640 as an
auxiliary file to this arXiv submission. From the numerical result we managed
to deduce an analytic formula for the strong coupling expansion of the
intercept function for arbitrary conformal spin.Comment: 70 pages, 5 figures, 1 txt, 2 nb and 2 mx files; v2: references
added, typos fixed and nb file with Mathematica stylesheet attached; v3: more
typos fixed; v4: the text edited according to the report of the refere
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