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D3+D6 solution and D4+D6 solution
Institution:1. School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, 69978, Israel;2. Blackett Laboratory, Imperial College, London SW7 2BZ, UK;1. Biochemical Physiology Research Group, Department of Experimental Zoology, Utrecht University, Padualaan 8, 3584 CH Utrecht, The Netherlands;1. Physik Department, Technische Universität München, D-85748 Garching, Germany;2. Theory Division, CERN, CH-1211 Geneva 23, Switzerland;3. Institute of Theoretical Physics, Warsaw University, Hoża 69, PL-00-681 Warsaw, Poland
Abstract:We make the supergravity solutions describing the branes (D3 branes and D4 branes) localized within the D6 branes in the near core region of D6 brane. From the D=11 solutions (M3 branes and M4 branes with the ZN identifications in the transverse space) we obtain the D=10 supergravity solutions of D3 branes localized within D6 branes and D4 branes localized within D6 branes by reducing the dimension down to D=10 along a circular direction of S3 part of the transverse space. M3 brane solution leads to D=10 background representing D3 branes localized on D6 branes in the region close to the D6 branes core. M4 branes lead to the D4 branes localized on D6 branes in the region close to the D6 brane core.
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