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Conformal Orbifold Partition Functions from Topologically Massive Gauge Theory

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Published 9 May 2002 • , ,

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Author e-mails

richard@ma.hw.ac.uk

Author affiliations

1 Center for Theoretical Physics, University of Sussex, Falmer, Brighton BN1 9QJ, UK

2 Dep. de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

3 Dept. of Physics, Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK

4 IHES, 35 Route de Chartres, 91440 Bures-sur-Yvette, France

5 Lab. de Physique Théorique, Université de Paris XI, 91405 Orsay Cédex, France

6 Dept. of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK

Dates

Received 10 January 2002
Accepted 19 April 2002
Published

Citation

Pedro Castelo Ferreira et al JHEP04(2002)035

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DOI

https://doi.org/10.1088/1126-6708/2002/04/035

E-print

http://arxiv.org/abs/hep-th/0112104

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1126-6708/2002/04/035

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] × Σ, where Σ 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.

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