TY - JOUR
T1 - SO and USp Kähler and hyper-Kähler quotients and lumps
AU - Eto, Minoru
AU - Fujimori, Toshiaki
AU - Gudnason, Sven Bjarke
AU - Nitta, Muneto
AU - Ohashi, Keisuke
N1 - Funding Information:
We are grateful to Kenichi Konishi, Takayuki Nagashima and especially to Walter Vinci for fruitful discussions. T.F., M.N. and K.O. would like to thank the theoretical HEP group at University of Pisa for their hospitality. M.E. and S.B.G. thank the organizers of the conference “Continuous Advances in QCD 2008” for warm hospitality. The work of M.E. and K.O. (T.F.) is supported by the Research Fellowships of the Japan Society for the Promotion of Science for Research Abroad (for Young Scientists). The work of M.N. is supported in part by Grant-in-Aid for Scientific Research (No. 20740141) from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2009/7/11
Y1 - 2009/7/11
N2 - We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × USp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.
AB - We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and USp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × USp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.
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U2 - 10.1016/j.nuclphysb.2009.01.019
DO - 10.1016/j.nuclphysb.2009.01.019
M3 - Article
AN - SCOPUS:64449083864
SN - 0550-3213
VL - 815
SP - 495
EP - 538
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 3
ER -