Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes
arXiv:0903.4500 · doi:10.1088/1126-6708/2009/05/009
Abstract
We integrate the nonpropagating B_μ gauge field for the non-linear BF Lagrangian describing N M2-branes which includes terms with even number of the totally antisymmetric tensor M^{IJK} in arXiv:0808.2473 and for the two-types of non-linear BF Lagrangians which include terms with odd number of M^{IJK} as well in arXiv:0809:0985. For the former Lagrangian we derive directly the DBI-type Lagrangian expressed by the SU(N) dynamical A_μ gauge field with a spacetime dependent coupling constant, while for the low-energy expansions of the latter Lagrangians the B_μ integration is iteratively performed. The derived Janus field theory Lagrangians are compared.
16 pages, LaTex, no figures
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