Lecture 1 8 251 Spring 2007 Lecture Topics Announcements introduction Lorentz transformations Light cone coordinates Reading Zwiebach Sections 2 1 2 3 Strings at Many Scales Classical strings cosmic strings QCD strings gluons or ux tubes hold quarks together as qq Flux tube String of 0 2 fm AdS CFT Anti desiltem conformal eld theory Fundamental Strings Standard model of particle physics cosmology in ation Zero thickness mass measure Relativistic Strings Intervals ct x y z x0 x1 x2 x3 x Event 1 Event 1 S1 x x x S x x x 2 s2 x0 2 xi g v xv x xv i s2 si 2 0 timelike separated s2 0 lightlike separated 0 spacelike separated 1 2 2 x 0 i x i si 2 Lecture 1 8 251 Spring 2007 Again the interval ds2 v dx dv v v symmetric by de nition 1 1 v 1 1 a a v av a Given a b a b a b v a bv 1 Inverse metric v v v v summed over b v bv v bv b Lorentz Transformation v 1 c 1 v x x ct y y z z ct ct x x0 x0 x1 x1 x0 x1 x2 x2 x3 x3 2 Lecture 1 8 251 Spring 2007 A linear invertible transform between x and x that satis es s2 s 2 x L v xv L is a Lorentz transfer of LT L Light cone coordinates x0 x1 x2 x3 Keep these two 1 x x0 x1 2 1 x x0 x1 2 1 x x0 x1 2 3
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