TY - JOUR
T1 - Some exact Bradlow vortex solutions
AU - Gudnason, Sven Bjarke
AU - Nitta, Muneto
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/5/1
Y1 - 2017/5/1
N2 - We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature. The general solution to our class of metrics is given by a hypergeometric function and the area of the vortex domain by the Gaussian hypergeometric function.
AB - We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature. The general solution to our class of metrics is given by a hypergeometric function and the area of the vortex domain by the Gaussian hypergeometric function.
KW - Differential and Algebraic Geometry
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=85019090016&partnerID=8YFLogxK
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U2 - 10.1007/JHEP05(2017)039
DO - 10.1007/JHEP05(2017)039
M3 - Article
AN - SCOPUS:85019090016
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 5
M1 - 39
ER -