Conformal orbifold partition functions from topologically massive gauge theory

Pedro Castelo Ferreira, Ian I. Kogan, Richard J. Szabo

Research output: Contribution to journalArticle

Abstract

We continue the development of the topological membrane approach to open and unoriented string theories. We study orbifolds of topologically massive gauge theory defined on the geometry [0, 1] × ?, where ? is a generic compact Riemann surface. The orbifold operations are constructed by gauging the discrete symmetries of the bulk three-dimensional field theory. Multi-loop bosonic string vacuum amplitudes are thereby computed as bulk correlation functions of the gauge theory. It is shown that the three-dimensional correlators naturally reproduce twisted and untwisted sectors in the case of closed worldsheet orbifolds, and Neumann and Dirichlet boundary conditions in the case of open ones. The bulk wavefunctions are used to explicitly construct the characters of the underlying extended Kac-Moody group for arbitrary genus. The correlators for both the original theory and its orbifolds give the expected modular invariant statistical sums over the characters. © SISSA/ISAS 2002.

Original languageEnglish
Pages (from-to)875-914
Number of pages40
JournalJournal of High Energy Physics
Volume6
Issue number4
Publication statusPublished - 1 Apr 2002

Keywords

  • Chern-Simons Theories
  • Conformal Field Models in String Theory

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