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on S " ) → FAN , Asi on Un , V , resp . F =DAn = DA , → d Hn - Asako → Hrs . An - AE dxn , 7- In Xvg 12742 HI nhk # EL ' L . ( GER rt 'E¥tk ) • Xns' tf I"egnAAh④P¥E¥# .gr , eiwirtgbg.am#EE*k(eiHtI--ei4Ai ' e "¥a)
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= E¥¥t7Hvxu¥Fif3 t ( Z - ADF¥) Suntan - t THE 's =/ L - t ' 't Shibu # ht 'S t ( Z - ADEE) 42 43 N - - 3h47't wa w , e : ' e' i 4 Cz " A' iii.' =3 www. hit "=ZK , , as
→ W - THY " -1 ' h D ' 'll - TV F¥#n¥¥u{ car .am#*xei**ms7tt-/lLgaugeoqy baht " to Hi ' → 499¥78 t ¥¥#x¥EE → 7*-7 RHEE '¥a¥¥u → RH - 7 42 43 wz w , ¥75 , IKE ATE) EE 'z3e4t ez ' et' i 9 ' 'll - It $ 43 x , 9*-7 13 w , EH - 7 3T Wz Cz '
a transition function 92EUR42 , SVP) A PSV = SUM , n 23*444*3 . where % , := 21/321 : center group of SUN ¥I¥¥EE(3' tea , highest weight 9) WEST 3%-761 " FIFI -3343,5 , PSV a gbf , It - 71234 Fe# 84kt # ice . #E¥EaEEY3n RHEE # EEK PSV DEKE# UHH u !
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. wat in . . no Its :) EZ > b , , b , ER me 2b , t b , E 321 { b , t 2b , E zz I Bht t . 2 , Hii : 'T = As:# SUH a Ese To ktuxxtxf HE¥ It PSV and via versa .
t E IT 70 L E , 7 (symplectic) A x 70 3 s' pls ) C 3 . ooo ooo 23 • . 13 no no 2 my . • . I 2 I 2 no 23 • . • I • 13 . • E3 • Ez . long root e , • . short root
, Lie group 21-477 " " W . Ii 'y" V " K - tt7HV ✓ ¥I¥t7Hv > " v - -1 " Higgins " ¥¥e¥EEn7sht ) . I " y ,⇒I" Higgerson Cartan '¥NkH¥tx n ¥A9¥t¥ > " L - ya -44*4 " It -1 " 577 HEE - HEATH nEE¥E¥f FYI 'VE , A - WH " §fozq " " 442 t "
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:* IMF ~ ) OF JOB e '÷HMFt⇒dFnB = - JI ADB ~ JOB e HE × x for eiiak.tn he ' FB : = dB IV : = - I FEI - If , ~ Jg , jae FBAFB up to a - dependent coeff.
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I → - Ye MI SUK .NET#aitE EEE ZE IH In # EH.it#rtgaugeEEG=Ulyte-AEn---HTFFEF4t- FHe3¥Lkt%EE¥ # 432¥ .BR#Ek2h3 . Etta .at#khEHIrEFEa' ' k¥-2307,541321 ) - 2X # HE 2b # Hits .
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: 'mEtz¥¥¥ E' Est b EN-to.yg-MNIEIEEKLEF.FI#4895ErE 'EF*/X yNM5 - braner f , Arent ) -20 " " µ " 4iEEN=4 GE SUCH ¥EH#hYang - Mills .EE#FaLMSYm ) (gauge ) with 'E¥ygangeEIE¥¥tF I - ÷ +4¥ gz
z MSYM C Oak " " I 4. 2 O I PSVIN ) → 48 # EE - he S i I . MS 'YM ( Oa IN - Ya 4 . - ya - k O I " base cycles exchange = duality in gauge theory " (Mapping Clam Group) I stoked- duality)
LIFE'Et¥G e) y 72kt gauge # ¥ G , Its gauge EEE Fa LIFE'Et¥G - Ye In 22kt HEH , t - -72 n a . cycle E f - cycle a X KEE -27 AH 3 ✓ e - set I * that # It t - Jan Dehn twist Z ¥Ek3 .
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~ R " 3 a A C = ER ' 110,14 = c got ,4 ) m > shek , 212) 3En b §¥E¥¥* " 2¥48 sina.ch/*uk503n&8FEaeE# I GA 'll "xgs" ]aH#H¥f¥4 T " " L Cao ] n "¥E¥#4fI¥K " ( 3¥.ME#K) ( Ics )