Janus field theories from multiple M2 branes
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Based on the recent proposal of N=8 superconformal gauge theories of the multiple M2 branes, we derive (2+1)-dimensional supersymmetric Janus field theories with a space-time dependent coupling constant. From the original Bagger-Lambert model, we get a supersymmetric field theory with a similar action to the N D2 branes, but the coupling varies with the space-time as a function of the light-cone coordinate, g(t+x). Half of the supersymmetries can be preserved. We further investigate the M2 brane action deformed by mass and Myers-like terms. In this case, the final YM action is deformed by mass and Myers terms and the coupling behaves as exp(μx) where μis a constant mass parameter. Weak coupling gauge theory is continuously changed to strong coupling in the large x region.
16 pages; v2 a new subsection added to discuss more general cases where the coupling 'constant' is a locally dynamical quantity, references added; v3 typos corrected, reference added, version to be published in Phys.Rev. D
16 pages; v2 a new subsection added to discuss more general cases where the coupling 'constant' is a locally dynamical quantity, references added; v3 typos corrected, reference added, version to be published in Phys.Rev. D