On type IIA Penrose limit and = 6 Chern-Simons theories

By T. Nishioka, T. Takayanagi. 2008

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Recently, Aharony, Bergman, Jafferis and Maldacena proposed that the = 6 Chern-Simons gauge theories are holographically dual to the M-theory backgrounds with multiple M2-branes on orbifolds C4/Zk. When k is large, they have the type IIA string description. In this paper we analyze the Penrose limit of this IIA background and express the string spectrum as the conformal dimensions of operators in the gauge theories. For BPS operators, we can confirm the agreements between the IIA string on plane waves and the gauge theories. We point out that there exist BMN-like operators in the gauge theories, though their holographic interpretation does not seem to be simple. Also we analyze the weak coupling limit of this theory and show that the Hagedorn/deconfinement transition occurs as expected.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fbb3532445a129c2342c2cb8ad9e2b85eff483b2

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Citations in the corpus

N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds (2008, background): “The relevant topics include extension to N = 4 orbifolds [27,28], superconformal indices [29], Penrose limit [ 30 ], integrability [31], non-supersymmetric generalization [32], and partition function [16].”
Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy (2009, background): “where R = (25π2kN)1/6 and y ∼ y + 2π. The metric of CP3 is explicitly expressed as follows in the coordinate system [ 28 ]”
The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, result): “However, this relation might receive perturbative and non-perturbative corrections in 1/ √ λ, analogously to what happens for string theory in AdS4×CP [57,58].”
Holographic entanglement entropy: an overview (2009, methodology): “We can find holographic results of the entanglement entropy in [68] for 2D N = (4, 4) Yang-Mills, in [72] for 3D N = 4 Yang-Mills, and in [63] for 3D N = 6 Chern-Simons theory.”
Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual (2008, background): “ our proposed dual is a piercing string. In summary, we obtain f(λ)→ λ2 (λ→0) λ 4 . (λ→∞) (6.14) Analogousinterpolatingfunction h(λ)was conceivedin the contextof giant magnonsin AdS4× CP3 [22][27]. There, it was noted that dispersion relation of AdS4 giant magnon takes exactly the same form as th”
N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations (2008, background): “these operators create corresponding asymptotic particle states of momentum p and energy E given by [ 7 , 10, 11]”
Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “a gauge-invariant combination Tr(Y 1Y † 4 ) J of the scalar field bilinear Y 1Y † 4 [7, 9].”
Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals (2008, background): “In the following we choose a specific representations in terms of angular coordinates (used also in [27, 21]).”
Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, background): “The expansion corresponds to taking a Penrose or plane-wave limit of the background AdS4 × CP(3) geometry which was recently discussed in [11, 12].”
Nonperturbative aspects of ABJM theory (2011, background): “In the following we choose a specific representations in terms of angular coordinates (used also in [42, 43]).”
Integrable spin chain in superconformal Chern-Simons theory (2008, background): “More recently, spectrum in the Penrose limit [54], various SU(2|2) closed subsectors [32], all loop Bethe ansatz equations [55], and finite-size effects [56] were studied.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “In particular, the Penrose limit of the AdS4 × CP 3 background was considered in [21, 22, 23]”