1302.5534 (M. Naghdi)

Alternative Marginal Fluctuations in Form of Instantons on D2/M2-Brane
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M. Naghdi

We introduce some (anti) M/D-branes through turning on some 4-form field-strengths for eleven- and ten-dimensional supergravity theories over AdS_4 x M_(7/6) spaces, where we use S^7/Z_k and CP^3 for the internal spaces. Indeed when we add M2/D2-branes on the same directions with near horizon branes of Aharony, Bergman, Jafferis and Maldacena model, all symmetries and supersymmetries are preserved trivially. In the case we gain a localized object just in the horizon. This normalizable bulk massless scalar mode is a singlet of SU(4)x U(1) and SO(8) and also agrees to an exactly marginal boundary operator of the conformal dimension of {\Delta}_+=3. However, after performing a special conformal transformation we see the solution is localized in all Euclidean AdS_4 space and is attributable to the thought anti M2/D2-branes adding also necessary to ensure there is no back-reaction. The resultant theory now breaks all N=8, 6 supersymmetries to N=0, while other symmetries are so preserved. The dual boundary operator then set up from a skew-whiffing of the representations 8_s and 8_v for supercharges and scalars respectively while the fermions remain fixed in 8_c of the original theory. Besides, we also address another alternate bulk to boundary matching procedure through one of the gauge fields of the full U(N)_k x U(N)_-k gauge group in same lines with similar situation faced in AdS_5/CFT_4 correspondence. The latter approach covers the already met obstacle of the bulk-boundary matching procedure for k=1,2 as well.

View original: http://arxiv.org/abs/1302.5534