Toroidal compactification in string theory from Chern–Simons theory

A detailed study of the charge spectrum of three-dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT's) on the boundaries which can be interpreted...

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Bibliographic Details
Published inNuclear physics. B Vol. 589; no. 1; pp. 167 - 195
Main Authors Ferreira, P.Castelo, Kogan, Ian I., Tekin, Bayram
Format Journal Article
LanguageEnglish
Published Elsevier B.V 20.11.2000
Subjects
CFT
Compactification
Strings
TMGT
CFT
TMGT
11.10.Kk
Compactification
11.15.Tk
11.25.Hf
11.25.Sq
TM
Strings
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Summary:A detailed study of the charge spectrum of three-dimensional Abelian Topological Massive Gauge Theory (TMGT) is given. When this theory is defined on a manifold with two disconnected boundaries there are induced chiral Conformal Field Theories (CFT's) on the boundaries which can be interpreted as the left and right sectors of closed strings. We show that Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely three-dimensional terms. This is an important result which is necessary to construct toroidal compactification and heterotic string from Topological Membrane (TM) approach to string theory. We also derive the block structure of c=1 Rational Conformal Field Theory (RCFT) from the three-dimensional gauge theory.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(00)00407-7