1302.5294 (M. Naghdi)

New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3    [PDF]

M. Naghdi

With use of a six-form field-strength of ten-dimensional type IIA supergravity over AdS_4 x CP^3, when S^7/S_k is considered as a S^1 Hopf-fibration on CP^3, we earn a fully localized solution in bulk of Euclideanized AdS_4. Indeed, this object appears in external space because of wrapping of a D4(M5)-brane over some parts of respective internal spaces. Interestingly, this supersymmetry breaking SU(4)x U(1)-singlet mode exists in already known spectrums when one use 8_c gravitino representation of SO(8). To adjust the boundary theory, we should swap the original 8_s and 8_c representations for supercharges and fermions in Aharony, Bergman, Jafferis and Maldacena model. The procedure could then interpret as adding of a anti-D4(M5)-brane to the prime N=6 membrane theory resulting in a N=0 anti-membrane theory, while other symmetries preserve. Then, according to the well-known state-operator correspondence rules, we find a proper dual operator of the conformal dimension {\Delta}=3 that matches to the bulk massless pseudo-scalar state. After that, by making use of some fitting ansatzs for the used matter fields, we arrive at an exact boundary solution and comment on other related issues as well.

View original: http://arxiv.org/abs/1302.5294