Holography of massive ABJM theory with discrete torsion

Color-kinematic duality in ABJM theory without amplitude relations

International Journal of Modern Physics A ◽

10.1142/s0217751x17500026 ◽

2017 ◽

Vol 32 (02n03) ◽

pp. 1750002

Author(s):

Allic Sivaramakrishnan

Keyword(s):

Gauge Group ◽

Explicit Form ◽

Tree Level ◽

Abjm Theory ◽

Gauge Freedom

We explicitly show that the Bern–Carrasco–Johansson color-kinematic duality holds at tree level through at least eight points in Aharony–Bergman–Jafferis–Maldacena theory with gauge group [Formula: see text]. At six points we give the explicit form of numerators in terms of amplitudes, displaying the generalized gauge freedom that leads to amplitude relations. However, at eight points no amplitude relations follow from the duality, so the diagram numerators are fixed unique functions of partial amplitudes. We provide the explicit amplitude-numerator decomposition and the numerator relations for eight-point amplitudes.

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M2-BRANES AND AdS/CFT

International Journal of Modern Physics A ◽

10.1142/s0217751x10048652 ◽

2010 ◽

Vol 25 (02n03) ◽

pp. 332-350 ◽

Cited By ~ 31

Author(s):

IGOR R. KLEBANOV

Keyword(s):

Abjm Theory ◽

Dual Formulation ◽

Matter Theory ◽

Monopole Operators ◽

M Theory ◽

Chern Simons

We provide a brief introduction to the ABJM theory, the level kU(N) × U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2 -branes. We discuss its dual formulation in terms of M -theory on AdS4 × S7/ℤk and review some of the evidence in favor of the conjecture. We end with a brief discussion of the important role played by the monopole operators.

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