TY - JOUR
T1 - Chiral bosonization, determinants and the string partition function
AU - Verlinde, Erik
AU - Verlinde, Herman
N1 - Funding Information:
We thank B. de Wit for reading the manuscript, and B. van Geemen for helpful discussions on theta functions. This work is financially supported by the Stichting voor Fundamenteel Onderzoek der Materie (F.O.M.).
PY - 1987
Y1 - 1987
N2 - We study the bosonization of chiral fermion theories on arbitrary compact Riemann surfaces. We express the fermionic and bosonic correlation functions in terms of theta functions and prove their equality. This is used to obtain explicit expressions for a class of chiral determinants relevant to string theory. The anomaly structure of these determinants and their behaviour on degenerate Riemann surfaces is analysed. We apply these results to multi-loop calculations of the bosonic string.
AB - We study the bosonization of chiral fermion theories on arbitrary compact Riemann surfaces. We express the fermionic and bosonic correlation functions in terms of theta functions and prove their equality. This is used to obtain explicit expressions for a class of chiral determinants relevant to string theory. The anomaly structure of these determinants and their behaviour on degenerate Riemann surfaces is analysed. We apply these results to multi-loop calculations of the bosonic string.
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U2 - 10.1016/0550-3213(87)90219-7
DO - 10.1016/0550-3213(87)90219-7
M3 - Article
AN - SCOPUS:0001396888
SN - 0550-3213
VL - 288
SP - 357
EP - 396
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - C
ER -