Abstract
We study monopole-instantons in M2-brane theories, focussing on the ABJM class of Chern-Simons gauge theories coupled to matter. We calculate explicitly the 8-fermion term in the effective action induced by these monopole-instantons, and discuss their role in resolving a classical singularity in the moduli space. The results are compared with monopole-instantons in N = 8 3d SYM and D-brane theories, as well the dual supergravity description as a membrane scattering process.
Similar content being viewed by others
References
J. Bagger and N. Lambert, Modeling multiple M2’s, Phys. Rev. D 75 (2007) 045020 [hep-th/0611108] [INSPIRE].
J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [INSPIRE].
J. Bagger and N. Lambert, Comments on multiple M2-branes, JHEP 02 (2008) 105 [arXiv:0712.3738] [INSPIRE].
A. Gustavsson, Selfdual strings and loop space Nahm equations, JHEP 04 (2008) 083 [arXiv:0802.3456] [INSPIRE].
A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
M.R. Douglas, D.N. Kabat, P. Pouliot and S.H. Shenker, D-branes and short distances in string theory, Nucl. Phys. B 485 (1997) 85 [hep-th/9608024] [INSPIRE].
N. Lambert and D. Tong, Membranes on an orbifold, Phys. Rev. Lett. 101 (2008) 041602 [arXiv:0804.1114] [INSPIRE].
D. Berenstein and D. Trancanelli, Three-dimensional N = 6 SCFT’s and their membrane dynamics, Phys. Rev. D 78 (2008) 106009 [arXiv:0808.2503] [INSPIRE].
N. Dorey, V.V. Khoze and M. Mattis, Multi-instantons, three-dimensional gauge theory and the Gauss-Bonnet-Chern theorem, Nucl. Phys. B 502 (1997) 94 [hep-th/9704197] [INSPIRE].
J. Polchinski and P. Pouliot, Membrane scattering with M-momentum transfer, Phys. Rev. D 56 (1997) 6601 [hep-th/9704029] [INSPIRE].
S. Paban, S. Sethi and M. Stern, Summing up instantons in three-dimensional Yang-Mills theories, Adv. Theor. Math. Phys. 3 (1999) 343 [hep-th/9808119] [INSPIRE].
K. Hosomichi et al., A nonperturbative test of M2-brane theory, JHEP 11 (2008) 058 [arXiv:0809.1771] [INSPIRE].
S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the canonical quantization of the Chern-Simons-Witten theory, Nucl. Phys. B 326 (1989) 108 [INSPIRE].
I. Affleck, J.A. Harvey, L. Palla and G.W. Semenoff, The Chern-Simons term versus the monopole, Nucl. Phys. B 328 (1989) 575 [INSPIRE].
K.-M. Lee, Charge violation by instantons in Chern-Simons theories, Nucl. Phys. B 373 (1992) 735 [INSPIRE].
N. Lambert and C. Papageorgakis, Relating U(N) × U(N) to SU(N) × SU(N) Chern-Simons membrane theories, JHEP 04 (2010) 104 [arXiv:1001.4779] [INSPIRE].
B. Tekin, K. Saririan and Y. Hosotani, Complex monopoles in the Georgi-Glashow-Chern-Simons model, Nucl. Phys. B 539 (1999) 720 [hep-th/9808045] [INSPIRE].
D. Freed and J.A. Harvey, Instanton and the spectrum of Bloch electrons in a magnetic field, Phys. Rev. B 41 11328.
S. Mukhi, Unravelling the novel Higgs mechanism in (2 + 1)d Chern-Simons theories, JHEP 12 (2011) 083 [arXiv:1110.3048] [INSPIRE].
N. Dorey, V.V. Khoze, M. Mattis, D. Tong and S. Vandoren, Instantons, three-dimensional gauge theory and the Atiyah-Hitchin manifold, Nucl. Phys. B 502 (1997) 59 [hep-th/9703228] [INSPIRE].
C. Fraser and D. Tong, Instantons, three-dimensional gauge theories and monopole moduli spaces, Phys. Rev. D 58 (1998) 085001 [hep-th/9710098] [INSPIRE].
M. Van Raamsdonk, Comments on the Bagger-Lambert theory and multiple M2-branes, JHEP 05 (2008) 105 [arXiv:0803.3803] [INSPIRE].
A. Hanany and A. Zaffaroni, Tilings, Chern-Simons theories and M2 branes, JHEP 10 (2008) 111 [arXiv:0808.1244] [INSPIRE].
M. Benna, I. Klebanov, T. Klose and M. Smedback, Superconformal Chern-Simons theories and AdS 4 /CF T 3 correspondence, JHEP 09 (2008) 072 [arXiv:0806.1519] [INSPIRE].
C.W. Bernard, Gauge zero modes, instanton determinants and QCD calculations, Phys. Rev. D 19 (1979) 3013 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1112.4073
Rights and permissions
About this article
Cite this article
Martinec, E., McOrist, J. Monopole-instantons in M2-brane theories. J. High Energ. Phys. 2013, 82 (2013). https://doi.org/10.1007/JHEP06(2013)082
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2013)082