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ØØØØ1<br />

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ÒÒØÖÓÙØÑØÖÜ ´¾º½¿µ<br />

<strong>×</strong>ØØ<strong>×</strong><strong>×</strong>ØÒÚÒÝ 4¹ÈË<br />

Z ,<br />

ÛÒØÓÑÔÓ<strong>×</strong>ØÐÚÐÑØÒÓÒØÓÒ<strong>×</strong>ÓÖºÌÑØÖÜZ<strong>×</strong>ØÔÖÓ<br />

ρÒνÖÙÒÓÚÖØÓÑÒÖÓÑ0ØÓ1Ò ´¾º½µ ÒÖÐÞÒØ<strong>×</strong>ÒÐÑÓÙÐÙ<strong>×</strong>σÒ´¾º½¾µºÎÎÔÖÓÔÓ<strong>×</strong>ØØØÒÖÝÓØ1<br />

(Z)<strong>×</strong>ÒÙ<strong>×</strong>¹ØÛÓÑÓÙÐÖÓÖÑ<br />

64d(q<br />

Z)ØØÐÚ Z)ºÌ<br />

ÌÒØÖÐ<strong>×</strong>ÓÚÖØÑÓÙÐÔÖÑØÖ<strong>×</strong>σ,<br />

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(Z)ÒÚÖÒغÌÙ<strong>×</strong>¸ØÒÖÝÓÖÑÙÐ<strong>×</strong>ÑÒ<strong>×</strong>ØÐÝ<br />

ÑØÖÜÓÒÙ<strong>×</strong>¹ØÛÓÊÑÒÒ<strong>×</strong>ÙÖÒØÙÒØÓÒΦ 10<br />

Û<strong>×</strong>ØÙÒÕÙÙØÓÑÓÖÔÓÖÑÓÛØ10ÓØÑÓÙÐÖÖÓÙÔSp(2,<br />

SL(2, Z)ÙÐØÝØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>ÖÒØÛØØ<strong>×</strong>ÙÖÓÙÔÓSp(2, ØÒÙ<strong>×</strong>¹ØÛÓÑÓÙÐÖÓÖÑΦ 10<br />

ÙÐØÝ<strong>×</strong>ÝÑÑØÖºΦ ÔØÖ5º ¿ÌÜÔÖ<strong>×</strong><strong>×</strong>ÓÒÓËÐÑÓÙÐÖÓÖÑ<strong>×</strong><strong>×</strong>ÔÖÓÙØ<strong>×</strong>ÓÚÒÒÙ<strong>×</strong>¹ØÛÓØØÓÒ<strong>×</strong>ØÒØ<strong>×</strong><strong>×</strong><strong>×</strong>Ù<strong>×</strong><strong>×</strong>Ò ´¾º½µ<br />

10<br />

2<br />

Φ θ m (Z))<br />

.<br />

¾¿<br />

q =<br />

(<br />

)<br />

q e<br />

,<br />

q m<br />

( ) (<br />

z 1 z 2<br />

= =<br />

z 2 z 3<br />

∮<br />

e ,q m ) =<br />

( 1<br />

10 (Z) =<br />

64<br />

)<br />

ρ ν<br />

ν σ<br />

dZ eiπqÌ·Z·q<br />

9∏<br />

m=0<br />

Φ 10 (Z) .

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