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Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories · Around

2010

Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories

Lambert, Neil, Papageorgakis, Constantinos

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By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime.

As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory.
We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.

Built on

J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev
2007
Earlier work this paper cites.
J. Bagger and N. Lambert, “Gauge Symmetry and Supersymmetry of Multiple M2-Branes,” Phys. Rev
Original
2008
Earlier work this paper cites.
J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP
Original
2008
Earlier work this paper cites.
O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP
Original
2008
Earlier work this paper cites.

Similar

N. Lambert and D. Tong, “Membranes on an Orbifold,” Phys. Rev. Lett
Original
2008
Cited alongside, same era.
J. Distler, S. Mukhi, C. Papageorgakis, and M. Van Raamsdonk, “M2-branes on M-folds,” JHEP
Original
2008
Cited alongside, same era.
O. Aharony, O. Bergman, and D. L. Jafferis, “Fractional M2-branes,” JHEP
Original
2008
Cited alongside, same era.
K. Hosomichi, K.-M. Lee, S. Lee, S. Lee, and J. Park, “N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds,” JHEP
Original
2008
Cited alongside, same era.
M. Schnabl and Y. Tachikawa, “Classification of N=6 superconformal theories of ABJM type,” arXiv:0807.1102 [hep-th]
Original
Cited in the paper.
G. V. Dunne, “Aspects of Chern-Simons theory,” arXiv:hep-th/9902115
Cited in the paper.
M. A. Bandres, A. E. Lipstein, and J. H. Schwarz, “Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry,” arXiv:0807.0880 [hep-th]
Original
Cited in the paper.
A. Gustavsson and S.-J. Rey, “Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2),” arXiv:0906.3568 [hep-th]
Original
Cited in the paper.
O.-K. Kwon, P. Oh, and J. Sohn, “Notes on Supersymmetry Enhancement of ABJM Theory,” arXiv:0906.4333 [hep-th]
Original
Cited in the paper.
D. Berenstein and J. Park, “The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus,” arXiv:0906.3817 [hep-th]
Original
Cited in the paper.

Then

S. Terashima, “On M5-branes in N=6 Membrane Action,” JHEP
Original
2008
Later among the works it cites.
D. Martelli and J. Sparks, “Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3),” Phys. Rev
Original
2008
Later among the works it cites.
A. Gustavsson, “Algebraic structures on parallel M2-branes,” Nucl. Phys
Original
2009
Later among the works it cites.
J. Bagger and N. Lambert, “Three-Algebras and N=6 Chern-Simons Gauge Theories,” Phys. Rev
Original
2009
Later among the works it cites.

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