TY - JOUR

T1 - BPS vortices, Q-balls, and Q-vortices in N = 6 Chern-Simons matter theory

AU - Go, Gyungchoon

AU - Kim, Chanju

AU - Kim, Yoonbai

AU - Kwon, O. Kab

AU - Nakajima, Hiroaki

PY - 2013

Y1 - 2013

N2 - We investigate the vortex-type BPS equations in the ABJM theory without and with mass-deformation. We systematically classify the BPS equations in terms of the number of supersymmetry and the R-symmetries of the undeformed and mass-deformed ABJM theories. For the undeformed case, we analyze the N = 2 BPS equations for U(2)xU(2) gauge symmetry and obtain a coupled differential equation which can be reduced to either Liouville- or Sinh-Gordon-type vortex equations according to the choice of scalar functions. For the mass-deformed case with U(N)×U(N) gauge symmetry, we obtain some number of pairs of coupled differential equations from the N = 1, 2 BPS equations, which can be reduced to the vortex equations in Maxwell-Higgs theory or Chern-Simons matter theories as special cases. We discuss the solutions. In N = 3 vortex equations Chern-Simons-type vortex equation is not allowed. We also show that N = 5/2, 3/2, 1,2 BPS equations are equivalent to those with higher integer supersymmetries.

AB - We investigate the vortex-type BPS equations in the ABJM theory without and with mass-deformation. We systematically classify the BPS equations in terms of the number of supersymmetry and the R-symmetries of the undeformed and mass-deformed ABJM theories. For the undeformed case, we analyze the N = 2 BPS equations for U(2)xU(2) gauge symmetry and obtain a coupled differential equation which can be reduced to either Liouville- or Sinh-Gordon-type vortex equations according to the choice of scalar functions. For the mass-deformed case with U(N)×U(N) gauge symmetry, we obtain some number of pairs of coupled differential equations from the N = 1, 2 BPS equations, which can be reduced to the vortex equations in Maxwell-Higgs theory or Chern-Simons matter theories as special cases. We discuss the solutions. In N = 3 vortex equations Chern-Simons-type vortex equation is not allowed. We also show that N = 5/2, 3/2, 1,2 BPS equations are equivalent to those with higher integer supersymmetries.

KW - Chern-Simons Theories

KW - M-Theory

KW - Solitons Monopoles and Instantons

UR - http://www.scopus.com/inward/record.url?scp=84882287734&partnerID=8YFLogxK

U2 - 10.1007/JHEP02(2013)058

DO - 10.1007/JHEP02(2013)058

M3 - Review article

AN - SCOPUS:84882287734

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

M1 - 58

ER -