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We perform stellar evolution simulation of first stars and calculate stellaryields from the first supernovae. The initial masses are taken from 12 to 140Msun to cover the whole range of core-collapse supernova progenitors, andstellar rotation is included, which results in efficient internal mixing. Aweak explosion is assumed in supernova yield calculations, thus only outerdistributed matter, which is not affected by the explosive nucleosynthesis, isejected in the models. We show that the initial mass and the rotation affectthe explosion yield. All the weak explosion models have abundances of [C/O]larger than unity. Stellar yields from massive progenitors of > 40-60 Msun showenhancement of Mg and Si. Rotating models yield abundant Na and Al. And Ca issynthesized in non-rotating heavy massive models of > 80 Msun. We fit thestellar yields to the three most iron-deficient stars, and constrain theinitial parameters of the mother progenitor stars. The abundance pattern inSMSS 0313-6708 is well explained by 50-80 Msun non-rotating models, rotating30-40 Msun models well fit the abundance of HE 0107-5240, and both non-rotatingand rotating 15-40 Msun models explain HE 1327-2326. The presented analysiswill be applicable to other carbon-enhanced hyper metal poor stars observed inthe future. The abundance analyses will give valuable information about thecharacteristics about the first stars.

Stellar Yields of Rotating First Stars. I. Yields of Weak Supernovae and Abundances of Carbon-enhanced Hyper Metal Poor Stars