[Show abstract][Hide abstract] ABSTRACT: We have obtained an exact solution for the BPS domain wall junction for a = 1 supersymmetric theory in four dimensions and studied its properties. The model is a simplified version of the ¢N = 2 SU(2) gauge theory with Nf = 1 broken to = 1 by the mass of the adjoint chiral superfield. We define mode equations and demonstrate explicitly that fermion and boson with the same mass have to come in pairs except massless modes. We work out explicitly massless Nambu-Goldstone (NG) modes on the BPS domain wall junction. We find that their wave functions extend along the wall to infinity (not localized) and are not normalizable. It is argued that this feature is a generic phenomenon of NG modes on domain wall junctions in the bulk flat space in any dimensions. NG fermions exhibit a chiral structure in accordance with unitary representations of (1, 0) supersymmetry algebra where fermion and boson with the same mass come in pairs except massless modes which can appear singly. More detailed exposition of our results can be found in Refs. [1], [2].
[Show abstract][Hide abstract] ABSTRACT: Using an exact solution as a concrete example, Nambu–Goldstone modes on the BPS domain wall junction are worked out for supersymmetric theories in four dimensions. Their wave functions extend along the wall to infinity (not localized) and are not normalizable. It is argued that this feature is a generic phenomenon of Nambu–Goldstone modes on domain wall junctions in the bulk flat space in any dimensions. We formulate mode equations and show that fermion and boson with the same mass come in pairs except massless modes which can appear singly, in accordance with unitary representations of (1,0) supersymmetry.
Nuclear Physics B 10/2000; 586(1-2-586):231-260. DOI:10.1016/S0550-3213(00)00436-3 · 3.93 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: An exact solution of domain wall junction is obtained in a four-dimensional
N=1 supersymmetric U(1) X U(1)' gauge theory with three pairs of chiral
superfields which is motivated by the N=2 SU(2) gauge theory with one flavor
perturbed by an adjoint scalar mass. The solution allows us to evaluate various
quantities including a new central charge Y_k associated with the junction
besides Z_k which appears already in domain walls. We find that the new central
charge Y_k gives a negative contribution to the mass of the domain wall
junction whereas the central charge Z_k gives a dominant positive contribution.
One has to be cautious to identify the central charge Y_k alone as the mass of
the junction.
Physics Letters B 12/1999; 471(2-3-471):140-148. DOI:10.1016/S0370-2693(99)01355-6 · 6.13 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: Recently, a non-hyperelliptic curve describing the Coulomb branch of N=2 SUSY $SU(N_c)$ Yang-Mills theory with an antisymmetric tensor matter was proposed using a configuration of a single M theory five-brane. We study the singular surface in the moduli space of the curve to compare it with results from the ``integrating in'' method in field theory. In order to achieve the consistency, we find it necessary to take account of an additional superpotential $W_{\Delta}$ which has been neglected so far. The explicit form of $W_{\Delta}$ is worked out. Comment: LaTeX file, 15 pages, several sentences added in discussion and other places
Physical Review D 02/1998; 58(6). DOI:10.1103/PhysRevD.58.066002 · 4.64 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: Vacuum structures of supersymmetric (SUSY) Yang-Mills theories in $1+1$ dimensions are studied with the spatial direction compactified. SUSY allows only periodic boundary conditions for both fermions and bosons. By using the Born-Oppenheimer approximation for the weak coupling limit, we find that the vacuum energy vanishes, and hence the SUSY is unbroken. Other boundary conditions are also studied, especially the antiperiodic boundary condition for fermions which is related to the system in finite temperatures. In that case we find for gaugino bilinears a nonvanishing vacuum condensation which indicates instanton contributions. Comment: LaTeX file, 25 page, 3 eps figure, some references added
Physical Review D 06/1996; 55(2). DOI:10.1103/PhysRevD.55.1079 · 4.64 Impact Factor