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The Geometry of the Bosonic String

Carlo Angelantonj - Università di Torino

 
  The course will focus on the geometric formulation of the bosonic string
  The plan of the course is (time permitting):
 
    Introduction. The Nambu-Goto and Polyakov actions for the bosonic string
    Light-cone quantisation.
    Path-integral quantisation, The Liouville action and the critical dimension.
    Strings in background fields.
    Global properties of the string world-sheet
    The string S matrix.
    Some bacis string interactions: the Veneziano amplitude.
    Tachyon-gluon interactions. The low-energy Lagrangian and α' corrections.
    A quick look at the superstring: light-cone quantisation and the GSO projection.
 
 
  Bibliography:
 
    M.B. Green, J.H. Schwarz and E. Witten, Superstring Theory vol I, Cambridge University Press
    J. Polchinski, String Theory vol I, Cambridge University Press