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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2010, Volume 91, Issue 12, Pages 690–693 (Mi jetpl742)  
FIELDS, PARTICLES, AND NUCLEI

Towards construction of geometric bosonic quantum field theories I

A. S. Losevabc, S. Slizovskiyacb

a Institute for Theoretical and Experimental Physics
b Uppsala University
c Institute for System Research
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Abstract: We present a geometric construction of 2D chiral boson theories on manifolds with tangent bundle admitting flat connection with possible torsion. The construction is based on embedding of the theory into the supersymmetric $\beta\gamma-bc$ system. To perform the embedding we do a covariant smooth point-splitting of vector field observables and then the fermions are killed by a strongly oscillating chiral gauge transformation.
Received: 20.05.2010
English version:
Journal of Experimental and Theoretical Physics Letters, 2010, Volume 91, Issue 12, Pages 620–624
DOI: https://doi.org/10.1134/S0021364010120027
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Document Type: Article
Language: English
Citation: A. S. Losev, S. Slizovskiy, “Towards construction of geometric bosonic quantum field theories I”, Pis'ma v Zh. Èksper. Teoret. Fiz., 91:12 (2010), 690–693; JETP Letters, 91:12 (2010), 620–624
Citation in format AMSBIB
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\issue 12
\pages 690--693
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\jour JETP Letters
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\vol 91
\issue 12
\pages 620--624
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