From Loop Space Mechanics to Nonabelian Strings

  title={From Loop Space Mechanics to Nonabelian Strings},
  author={Urs Schreiber},
Lifting supersymmetric quantum mechanics to loop space yields the superstring. A particle charged under a fiber bundle thereby turns into a string charged under a 2-bundle, or gerbe. This stringification is nothing but categorification. We look at supersymmetric quantum mechanics on loop space and demonstrate how deformations here give rise to superstring background fields and boundary states, and, when generalized, to local nonabelian connections on loop space. In order to get a global… CONTINUE READING
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