Gauge-Field Theories and Gravity on Noncommutative Spaces
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(586) NYD*#. d,W*# z @ 8$ @
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(588) > DI V+,:*I
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(627) */0/1#" ) '* > D =8Q
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(634) I 3#"
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(645) +/>/1#3 ) '* >I Z#C(PT" N 2I 3#"D(8r ^ (Y sI* . r&
(646) + #CV"*
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(648) F2
(649) @# =&" 0R O+, 0
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(651) NY`jU*D*/>/r#" ) '+ .# ).
(652) @ + C3I
(653)
(654) /> r+,Q V
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(657) X3 =z
(658) &/ +IcP D
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(660) +/>/1#3 ) '* ) +
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(663) P 8UV
(664) * CZ(P+
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(669) D z 1 8Q D* D.
(670) / " r#!+=* Dm#3 +" * U /0 w +C *. +w D I"
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(672) "8X3#!D* #" *" V + 5" D / D 0Yg g ? C,W / ) *fI +/0 D _.Yg k"I + =" N 2I 3#"D D8dw d, +/0 D
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(674) R8 Z#D * I D*/0
(675) #! + $#" # . Yf,W "
(676) D*#I =* +"
(677) (YZ & ('*
(678) Dy #" D
(679) '* . Y z @ 8&47 D
(680)
(681) . Y*PE N2IZ#C @: $+"
(682) w,W YeE + / + ,W +?X3 ` =Fz
(683) &/ )I : O
(684) *" #D
(685) H Q=*
(686) - D = +
(687) *H sD*D
(688) I"7+,E
(689) ' +Q
(690) Z F
(691) P 8~ D'*
(692) PB s #3 + :,W " O= +#=* sR cP,W +
(693) )P @I *I` * _C O@ eu *5 #D# . ,P +" " C,W V' ) 5 V
(694) */0/1#" ) '* /
(695) 8 " *" 5 . #" * l ? =*0
(696) */0/1#" ) '* / (PT ' ) '+
(697) N ++,;
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(699) 0 ('* w` = +#=+
(700) c8 r + 1l
(701) θ 6= const. 1I *.
(702) /
(703) ^ ) L=* D ' ) '+
(704) +C ' D,W /> Dyno G #. +" ?+" ' ) * 0* ? N2I Z#D =+ C2 "89 L
(705) * .# D
(706) 5 ' ) '* $ ' . #
(707) f= )#=* $R d'+ H 3#"
(708)
(709) + H . :
(710) Hl
(711) f H
(712) * N #D$X3 =z
(713) / +I" r,W κ2" D,W /> D I +D
(714) X3 DD * 8 8P 879 I`+ Y> ('* 5
(715) *" #" + 7Y= +#= =$" ' ) * +,s ?+
(716) */0/1 #" ) '* =* D "#
(717) Dy.Ym
(718) +/>/1#3 "=w, +/> D
(719) 8 Q $ + $ I *I`+
(720) P @ [X3 DD * 8 z 8 bl $= +#=* k2R D
(721) s' H
(722) ), X3 =z
(723) 0/ +I l
(724) *" #D
(725) > C ,W T q2 D,W /0
(726) 0T# +$I + [
(727) " bk8T9h=* D G ) *_+,o
(728) ^
(729) +
(730) DI" 1 N2I Z#C . =*
(731) +
(732) P.l ! I*
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(735) P D +II +!>= +#=* @"
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(737) 7*5*D*/>/r#" ) '+ V I +
(738) D = '* D Yf
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(740) C + 8 P @ P D P 85Yw N "=5" $
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(743) D8 Q
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(771) 8uQ* I )
(772)
(773) DP
(774) .l + -,W#G
(775) GCYO I +D
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(777) Yg
(778) + .0 >),@n = *#"I
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(780) Pl ! L + r+,T D/ 2 /0I On O= +#I r= '* D YLR d /> D * . =*
(781) + 81Q _/0* s, +/0*# ; C +/0I D ^,W ^,W#G
(782) GCY I +
(783) D ^ ^,W#GDGDY$ I z +"&,W#"G
(784) GDY CP z @ 8Q @
(785) I" *H+,-,W#GDGDY S I"
(786) w /> @+,R _ /0
(787) * U/ ) =* D ) O/
(788) )
(789) @I* . _5D*32 #C= )#=* & D
(790) $+m,W#GDGDYm I D + ++/ / ) />Z . 8x "
(791) T: lI *I`+ ^,W*# N2 /0
(792) " + Z/>Z +_
(793) *" #D = )#=* Q D
(794) T*d,W#GDGDY 8Q R l/ ) 1/>Z
(795) #"
(796)
(797) _ 7
(798) +/>/1#3 ) '* / U )=)2Nv . S ×S "
(799)
(800) @* S × S 8&v5
(801) '*
(802) P &*#" _ = / @,W*#" #!)r= +#=* . µν. . 2 N. 2. 2. 2. 2. n. .
(803) "8 . Z#C +
(804) D 7+5,W#GDGDY S × S
(805) #"
(806) V>"*
(807) +/>/1#3 ) '* @= )#=* @ D
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(809) R D=*# G ) *+,U*D*/0/1#" F '+ @= +#=* s
(810) D
(811) 8:9 + 7),U+I`. *= . Y_*Z2 ' | #" *" O[ " ).* bl*&,W#GDGDY S × S D#
(812) D / : +*" * R 8TQ D
(813) '* D " ).* QD
(814) I*H 1=+
(815) G F +$+,u +*" D* #C D5,W Q+
(816) */0/1#" ) '* ^= +#=* s"
(817)
(818) H:0 /0
(819) " + z 8 9/ >I +,| ~"
(820) " D'*)
(821) V 7,W /1# ) *d+,o= (' Y_*>*D*/_2 /1#3 ) '* @ I +
(822) D +"50 C,W / ) * Q+,4
(823) / + +&=*
(824) +/> C Y+8 7*
(825) +/>/1#3 ) '* I +
(826) D H
(827) g `
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