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Toroidal compactification in string theory from Chern-Simons theory
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Date
2000-11-20
Author
Ferreira, PC
Kogan, II
Tekin, Bayram
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
TM
,
TMGT
,
Strings
,
CFT
,
Compactification
URI
https://hdl.handle.net/11511/47636
Journal
NUCLEAR PHYSICS B
DOI
https://doi.org/10.1016/s0550-3213(00)00407-7
Collections
Department of Physics, Article
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P. Ferreira, I. Kogan, and B. Tekin, “Toroidal compactification in string theory from Chern-Simons theory,”
NUCLEAR PHYSICS B
, pp. 167–195, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47636.