TY - JOUR

T1 - Vortex-type half-BPS solitons in Aharony-Bergman-Jafferis-Maldacena theory

AU - Kim, Chanju

AU - Kim, Yoonbai

AU - Kwon, O. Kab

AU - Nakajima, Hiroaki

PY - 2009/8/13

Y1 - 2009/8/13

N2 - We study the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type half-BPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymmetric Yang-Mills theory and no finite energy regular BPS solution is found. For the mass-deformed ABJM theory, the half-BPS equations for U(2)×U(2) case reduce to the vortex equation in Maxwell-Higgs theory, which supports static regular multivortex solutions. In U(N)×U(N) case with N>2 the non-Abelian vortex equation of Yang-Mills-Higgs theory is obtained.

AB - We study the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type half-BPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymmetric Yang-Mills theory and no finite energy regular BPS solution is found. For the mass-deformed ABJM theory, the half-BPS equations for U(2)×U(2) case reduce to the vortex equation in Maxwell-Higgs theory, which supports static regular multivortex solutions. In U(N)×U(N) case with N>2 the non-Abelian vortex equation of Yang-Mills-Higgs theory is obtained.

UR - http://www.scopus.com/inward/record.url?scp=70049101627&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.80.045013

DO - 10.1103/PhysRevD.80.045013

M3 - Article

AN - SCOPUS:70049101627

VL - 80

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 4

M1 - 045013

ER -