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In a previous work, we noted that vacua with higher flux could be obtained byrecombination of a small set of hidden-sector branes, numbering up to theKahler degrees of freedom left to be fixed in the problem. Here, we discuss thegeneral construction of Type IIB Standard Model flux vacua in which multiplebranes participate in brane recombination in the hidden sector. We presentseveral models with 4, 5 and 10 branes in a stack. They are complete withPati-Salam gauge group, Standard Model chiral matter, and a hidden sector thatcombines with nonzero flux to satisfy RR tadpole constraints. We alsoillustrate a puzzle: within the 4-brane recombination approach, we are unableto find a formal cutoff on the number of Standard Model flux vacua.Nevertheless, we show that phenomenological considerations are sure to cut offthe number of vacua, albeit at an extraordinarily large value. We comment onthe possibility that more formal constraints could further reduce the number ofvacua.Comment: 6 pages, LaTeX, to be published (in shortened version) in the  Proceedings of the Intl. Conf. on Supersymmetry, SUSY-06 (Irvine, 12-17 June  2006

Multi-Brane Recombination and Standard Model Flux Vacua