Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory

By D. Gaiotto, S. Giombi, Xi Yin. 2008

291 citations recorded by the source corpus.

In this note we study spin chain operators in the N = 6 Chern-Simons-matter theory recently proposed by Aharony, Bergman, Jafferis and Maldacena to be dual to type IIA string theory in AdS4 × CP 3 . We study the two-loop dilatation operator in the gauge theory, and compare to the Penrose limit on the string theory side.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c3eed1db0769b0d4ecf8bab82ff3ca9cb50bcb6d

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Citations in the corpus

Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals (2008, methodology): “We classify the conditions for it to be supersymmetric, derive the perturbative expression for this Wilson loop and calculate it at two loop order in an expansion in the ’t Hooft coupling λ = N/k.”
N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds (2008, result): “27) in agreement with a recent independent work [38].”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “In particular, the Penrose limit of the AdS4 × CP 3 background was considered in [21, 22, 23]”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “Integrability manifests itself in the ABJM theory, where an integrable spin-chain Hamiltonian was found first at two loop in perturbation theory [143, 144].”
Fractional M2-branes (2008, background): “interesting to examine the spin chain representation of the spectrum of operators in these theories in the ’t Hooft limit [9], and to see if (M − N) can be related to a B field on the “worldsheet” of the spin chain.”
Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, background): “To test this possibility, consider the interpolating function f(λ)introduced in the context of the giant magnon spectra [30, 35, 36].”
The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, background): “The two best known examples are type IIB strings on AdS5 ×S5 and the dual N = 4 Supersymmetric Yang-Mills (SYM) theory, and type IIA string theory on AdS4 × CP3 and the dual ABJM Chern-Simons theory [5].1 The integrability methods used to understand these dual pairs can also be extended to their def”
A Massive Study of M2-brane Proposals (2008, unknown): “1) for the ABJM theory is invariant under the following N = 6 SUSY variations [29, 30]: δC = iωψJ , δC I = iψ † ωIJ , (B.”
Integrable spin chain in superconformal Chern-Simons theory (2008, methodology): “We solve Bethe ansatz equations for small number of excitations, and find indications of correlation between excitations of4’s and4’s and of nonexistence of mesonic(44) bound-state.”