XIII Encontro Nacional de FÃÂsica de PartÃÂculas e Campos.pdf
XIII Encontro Nacional de FÃÂsica de PartÃÂculas e Campos.pdf
XIII Encontro Nacional de FÃÂsica de PartÃÂculas e Campos.pdf
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18/9 - 10:55 '<br />
SPATIAL INVERSION AND SPIN 1/2 EIGENSTATES.<br />
Jose Ricardo Zeni,. Depto•Ciencias Naturals, FUNREI.<br />
In the matrix representation of Pauli Algebra we have strong difficulties to<br />
represent spatial inversion, and there is no well established rule to <strong>de</strong>fine it.<br />
Oil' the other.way, into the Clifford Algebra of Eucli<strong>de</strong>an Space, which is isomorfic<br />
to-the Pauli Algebra,, there is a natural way to <strong>de</strong>fine spatial inversion, i.e.,<br />
we assume-that the representative of Pauli matrices must change your sign un<strong>de</strong>r<br />
spatial inversion, and in the Clifford Algebra this operation is equivalent to the<br />
so „:ailed principal automorphism•of algebra.,Etending this operation to spinors,<br />
we are able to show that the.eigenstates of spin 1/2 are related themselves by<br />
spatial. inversion, as it is• usual to think.<br />
•<br />
18/9' 16:1111 SUPERGRAVITAGAO*TOPOLOGICA EM DUAS DIMENSOES<br />
Victor 0. Rivelles - Instituto <strong>de</strong> Fisica, USP<br />
Apresentamos uma versio supersimitrica da extensio central da algebra <strong>de</strong> Foincare em 2 dimen,<br />
scies.„Essa.algebra e'obtida por uma contracio nao conventional da algebra <strong>de</strong> super <strong>de</strong> Sitter<br />
e requer a introducio.<strong>de</strong> , novos geradores bosOnicos e fermianicos, alem da carga central. A<br />
partir<strong>de</strong>ssa algebra,construimos.a.teoria da supergravida<strong>de</strong> topolOgica correspon<strong>de</strong>nte.<br />
18/9•- 16:25<br />
PARTIGULAS TOPOLOGICAS COM SPIN<br />
Luis Antonio Cabral e Victor <strong>de</strong> Oliveira Rivelles<br />
Instituto <strong>de</strong> Fisica, USP<br />
Apresentaremos uma acao para uma particula com spin que quando quantizada<br />
<strong>de</strong>screve as teorias <strong>de</strong> campo topol6gicas (abelianas) do tipo BF e Chern-<br />
-Simons. Ao acoplarmos a agio a um campo gravitational <strong>de</strong> fundo <strong>de</strong>monstraremos<br />
que a nivel quintico a algebra <strong>de</strong> vinculos nao apresenta anomalies e<br />
ao ser quantizada a teoria readquire o cariter.topolOgico.
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