The factorized S-matrix of CFT/AdS
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TLDR
In this paper, a perturbative asymptotic Bethe ansatz was used to derive the three-loop S-matrix of the closed fermionic (1|1) sector of the = 4 gauge theory.Abstract:
We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory's dilatation operator nor the string sigma model's quantum hamiltonian, but instead the respective factorized S-matrix. To illustrate the idea, we focus on the closed fermionic (1|1) sector of the = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use it to extract this sector's three-loop S-matrix from Beisert's involved algebraic work on the three-loop (2|3) sector. We then show that the current knowledge about semiclassical and near-plane-wave quantum strings in the (2), (1|1) and (2) sectors of AdS5 × S5 is fully consistent with the existence of a factorized S-matrix. Analyzing the available information, we find an intriguing relation between the three associated S-matrices. Assuming that the relation also holds in gauge theory, we derive the three-loop S-matrix of the (2) sector even though this sector's dilatation operator is not yet known beyond one loop. The resulting Bethe ansatz reproduces the three-loop anomalous dimensions of twist-two operators recently conjectured by Kotikov, Lipatov, Onishchenko and Velizhanin, whose work is based on a highly complex QCD computation of Moch, Vermaseren and Vogt.read more
Citations
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References
More filters
Journal ArticleDOI
The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
Journal ArticleDOI
Zur Theorie der Metalle
TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
Journal ArticleDOI
On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
Journal ArticleDOI
Strings in flat space and pp waves from Script N = 4 Super Yang Mills
TL;DR: In this paper, the string spectrum in flat space and pp-waves arises from the large-N limit, at fixed g2YM, of U(N) = 4 super Yang Mills.
Proceedings ArticleDOI
Strings in flat space and pp waves from N = 4 Super Yang Mills
TL;DR: In this article, the string spectrum in flat space and pp-waves arises from the large N limit, at fixed gYM2, of U(N) N = 4 super Yang Mills.