DBI Analysis of Open String Bound States on Non-compact D-branes
DBI Analysis of Open String Bound States on Non-compact D-branes
DBI Analysis of Open String Bound States on Non-compact D-branes
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CHAPTER 7. A FIRST EXAMPLE 95This time however, the soluti<strong>on</strong> is valid for|z| =(r 2 − 1)∣(C 2 − 1) ∣ < 1.The analytic c<strong>on</strong>tinuati<strong>on</strong>, obtained in the same way as for the cigar, is given byu = C 1 (−1) 1 4(5+ √ 1+4kE 2 ) ( C 2 − 1 )1 4(1+ √ 1+4kE 2 ) r12(1+ √ 1+4kE 2 )+ C 2 (−1) 1 4(3− √ 1+4kE 2 ) ( C 2 − 1 )1 4(1− √ 1+4kE 2 ) r12(1− √ 1+4kE 2 ) , (7.60)withC 1 =C 2 =( )Γ − 1 2√1 + 4kE 2( ) ( ), (7.61)Γ 34 − 1 4√1 + 4kE 2 Γ 54 − 1 4√1 + 4kE 2( )Γ 12√1 + 4kE 2( ) ( ). (7.62)Γ 34 + 1 4√1 + 4kE 2 Γ 54 + 1 4√1 + 4kE 2
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