Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 107-121
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G. A. Pelts. The space of states and wave equation for the boson string with non-trivial topology of the world surface. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 107-121. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/
@article{ZNSL_1988_169_a12,
author = {G. A. Pelts},
title = {The space of states and wave equation for the boson string with non-trivial topology of the world surface},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {107--121},
year = {1988},
volume = {169},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/}
}
TY - JOUR
AU - G. A. Pelts
TI - The space of states and wave equation for the boson string with non-trivial topology of the world surface
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1988
SP - 107
EP - 121
VL - 169
UR - http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/
LA - ru
ID - ZNSL_1988_169_a12
ER -
%0 Journal Article
%A G. A. Pelts
%T The space of states and wave equation for the boson string with non-trivial topology of the world surface
%J Zapiski Nauchnykh Seminarov POMI
%D 1988
%P 107-121
%V 169
%U http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a12/
%G ru
%F ZNSL_1988_169_a12
It is shown that the wave functions of the string with a nontrivial topology of the world sheet should oe regarded as sections of linear bundles over the space of conformal classes о of Riemann surfaces. A BRST operator is constructed for an arbitrary type of topology, and its geometric interpretation is given.