УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
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Z<br />
ÓÒ<strong>×</strong>ÖØÈÓÒÖÔÓÐÝÒÓÑÐÓÖT 4ÛØÝØÔ<strong>×</strong><strong>×</strong>ÙÒÖØZ<br />
ØÓÒºÌÙ<strong>×</strong><strong>×</strong>ÜÓØÓ<strong>×</strong>ÓÒ<strong>×</strong>ÖÐÛÝ<strong>×</strong>ÔÖÓÒØÓØÖØÛÓÚÖØÓÒÐÑÓÒ ØÓÖÝÒÓÔÓÛÖ<strong>×</strong>ÛØÖÑÓÒ<strong>×</strong>ºÌÓÒØÑÙÐØÔÐÝÒØØÖÑÚ<strong>×</strong>ØÓÖÓÐ 1¹ÑÒ<strong>×</strong>ÓÒÐ<br />
ØÖÑÒÝØÔ<strong>×</strong>º<br />
1´¾º¿¿µ<br />
ω + 2 4x2 − 2xω − 2x ω +<br />
ÁÒØÓÚÜÔÒ<strong>×</strong>ÓÒ¸ÛÒØÝÚÒÔÓÛÖ<strong>×</strong>ÓxÛØÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØ1 5ØÓÒÓÒØÙÐ<br />
+<br />
ÓÖÖ<strong>×</strong>ÔÓÒÒÈÓÒÖÔÓÐÝÒÓÑÐ<strong>×</strong><br />
4ØÓÚÒÝ ÁØÔÔÖ<strong>×</strong>ØØÓÒÒÙ<strong>×</strong>ØÈÓÒÖÔÓÐÝÒÓÑÐØÓÓØÒØZ ØÝÔÁÁ<strong>×</strong>ØÖÒºÀÓÛÚÖ¸ØØ<strong>×</strong>ØÓÛÖØØÒ<strong>×</strong>SO(4)ØÓÒÖØÖØÒSU(2) L<br />
<strong>×</strong>ÙÖÓÙÔºÏÒN = 5¸ØZ 5ØÓÒ<strong>×</strong><strong>×</strong>Ø<strong>×</strong>ÒÝÓÓ<strong>×</strong>ÒØT R 4 /Γ A4ºÌÒÚÐÙ<strong>×</strong>ÓØÒÖØÓÖÓØZ 5ÖÚÒÝωr¸´r =<br />
ËÛÖÞØÝÔÁÁ¹<strong>×</strong>ÙÔÖ<strong>×</strong>ØÖÒØØÛÙ<strong>×</strong>ØÖÚº ÏÒÓÛÔÖ<strong>×</strong>ÒØØØÐ<strong>×</strong>ÓØÓÖÓÐØÓÒ´ÓÒØÐعÑÓÚÖ<strong>×</strong>µÓÖØÖÒ¹ 2´¾º¿µ<br />
− x/ω − x/ω 2 − ωx − ω 2 x − ω 2 x 3 − ωx 3 − x 3 /ω − x 3 /ω<br />
ÔÖÓÖÑÓÒ<strong>×</strong>º 1ºÌÙ<strong>×</strong>¸ÓÒ<strong>×</strong>ØÔÖÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØÒع ƾ℄ω=−1ÑÔÐ<strong>×</strong>ØØω ØÑ<strong>×</strong>ÐÚ<strong>×</strong>º<br />
−1ØÑ<strong>×</strong><br />
2 =<br />
Æ¿℄ω = exp(2πi/3)ÇÒ<strong>×</strong><strong>×</strong>ÜÔÖÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØÛÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ÛÔÙÔÔ<strong>×</strong><strong>×</strong>ω Òω 2ºÓÙÖÖÑÓÒ<strong>×</strong>ÓØÓωØÑ<strong>×</strong>ØÑ<strong>×</strong>ÐÚ<strong>×</strong>ÒØÓØÖÓÙÖÓØÓω Æ℄ω=exp(2πi/5)Ì<strong>×</strong><strong>×</strong>ÖÒØÖÓÑØÓØÖØÖÜÑÔÐ<strong>×</strong>ºÇÒÒ<strong>×</strong>ÙÔÛØ<br />
exp(πi/2)ÇÒ<strong>×</strong><strong>×</strong>ÜÔÖÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØÛÓÒعÔÖÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ºÓÙÖÖÑÓÒ<strong>×</strong><br />
−1ØÑ<strong>×</strong>ØÑ<strong>×</strong>ÐÚ<strong>×</strong>º 4µºÌØ<br />
Æ℄ω =<br />
ÓØÓωØÑ<strong>×</strong>ØÑ<strong>×</strong>ÐÚ<strong>×</strong>ÒØÓØÖÓÙÖÓØÓω ÓÙÖÔÖÓÓ<strong>×</strong>ÓÒ<strong>×</strong>ÒØÓØÖÓÙÖÒÝÔ<strong>×</strong>ωr´r = 1, 2, 3,<br />
¿¾<br />
N = 1, 2, 3, 4º<br />
(1 − ωx) 2 (1 − ω −1 x) 2 = x 4 − 2x 3 ω − 2x3<br />
ω + x2 (ω 2 + ω −2 ) + x2<br />
(1 − ωx)(1 − ω 2 x)(1 − ω −1 x)(1 − ω −2 x)<br />
= 1 + 2x 2 + x 4 + (ω 3 + ω + 1/ω + 1/ω 3 )x 2<br />
1, 2, 3, 4µºÌ
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