Tiny graviton matrix theory/SYM correspondence: Analysis of BPS states

In this paper we continue analysis of the Matrix theory describing the DLCQ of type IIB string theory on AdS(5)xS(5) (and/or the plane-wave) background, i.e. the tiny graviton matrix theory (TGMT) [M. M. Sheikh-Jabbari, J. High Energy Phys. 09 (2004) 017.]. We study and classify 1/2, 1/4, and 1/8 BPS solutions of the TGMT which are generically of the form of rotating three-brane giants. These are branes whose shape are deformed three-spheres and hyperboloids. In lack of a classification of such ten-dimensional type IIb supergravity configurations, we focus on the dual N=4 four-dimensional 1/2, 1/4, and one 1/8 BPS operators and show that they are in one-to-one correspondence with the states of the same set of quantum numbers in TGMT. This provides further evidence in support of the matrix theory.