TY - JOUR
T1 - Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry
AU - Higashijima, Kiyoshi
AU - Kimura, Tetsuji
AU - Nitta, Muneto
N1 - Funding Information:
∗Work supported in part by the Grant-in-Aid for Scientific Research †Work supported by the U.S. Department of Energy under grant DE-FG02-91ER40681 (Task B)
PY - 2003/4
Y1 - 2003/4
N2 - We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.
AB - We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.
UR - http://www.scopus.com/inward/record.url?scp=10944241070&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=10944241070&partnerID=8YFLogxK
U2 - 10.1016/S0920-5632(03)90693-1
DO - 10.1016/S0920-5632(03)90693-1
M3 - Article
AN - SCOPUS:10944241070
SN - 0920-5632
VL - 117
SP - 867
EP - 869
JO - Nuclear Physics B - Proceedings Supplements
JF - Nuclear Physics B - Proceedings Supplements
IS - SUPPL. 1
ER -