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Pis'ma v Zh. Èksper. Teoret. Fiz., 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

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.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2010, 91:12, 620–624

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Received: 20.05.2010
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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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\by A.~S.~Losev, S.~Slizovskiy
\paper Towards construction of geometric bosonic quantum field theories~I
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2010
\vol 91
\issue 12
\pages 690--693
\mathnet{http://mi.mathnet.ru/jetpl742}
\transl
\jour JETP Letters
\yr 2010
\vol 91
\issue 12
\pages 620--624
\crossref{https://doi.org/10.1134/S0021364010120027}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955782567}


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  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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