TY - JOUR
T1 - Supersymmetric domain wall and RG flow from 4-dimensional gauged N=8 supergravity
AU - Ahn, Changhyun
AU - Woo, Kyungsung
PY - 2001/4/2
Y1 - 2001/4/2
N2 - By studying various, known extreme of 1) SU(3) sectors, 2) SO(5) sectors and 3) SO(3)×SO(3) sectors of gauged N=8 supergravity in four dimensions, one finds that the deformation of seven sphere S7 gives rise to non-trivial renormalization group (RG) flow in three-dimensional boundary conformal field theory from UV fixed point to IR fixed point. For SU(3) sectors, this leads to four-parameter subspace of the supergravity scalar-gravity action and we identify one of the eigenvalues of A1 tensor of the theory with a superpotential of scalar potential that governs RG flows on this subspace. We analyze some of the structure of the superpotential and discuss first-order BPS domain-wall solutions, using some algebraic relations between superpotential and derivatives of it with respect to fields, that determine a (super)symmetric kink solution in four-dimensional N=8 supergravity, which generalizes all the previous considerations. The BPS domain-wall solutions are equivalent to vanishing of variation of spin 1/2,3/2 fields in the supersymmetry preserving bosonic background of gauged N=8 supergravity. For SO(5) sectors, there exist only nontrivial nonsupersymmetric critical points that are unstable and included in SU(3) sectors. For SO(3)×SO(3) sectors, we construct the scalar potential (never been written) explicitly and study explicit construction of first-order domain-wall solutions.
AB - By studying various, known extreme of 1) SU(3) sectors, 2) SO(5) sectors and 3) SO(3)×SO(3) sectors of gauged N=8 supergravity in four dimensions, one finds that the deformation of seven sphere S7 gives rise to non-trivial renormalization group (RG) flow in three-dimensional boundary conformal field theory from UV fixed point to IR fixed point. For SU(3) sectors, this leads to four-parameter subspace of the supergravity scalar-gravity action and we identify one of the eigenvalues of A1 tensor of the theory with a superpotential of scalar potential that governs RG flows on this subspace. We analyze some of the structure of the superpotential and discuss first-order BPS domain-wall solutions, using some algebraic relations between superpotential and derivatives of it with respect to fields, that determine a (super)symmetric kink solution in four-dimensional N=8 supergravity, which generalizes all the previous considerations. The BPS domain-wall solutions are equivalent to vanishing of variation of spin 1/2,3/2 fields in the supersymmetry preserving bosonic background of gauged N=8 supergravity. For SO(5) sectors, there exist only nontrivial nonsupersymmetric critical points that are unstable and included in SU(3) sectors. For SO(3)×SO(3) sectors, we construct the scalar potential (never been written) explicitly and study explicit construction of first-order domain-wall solutions.
UR - http://www.scopus.com/inward/record.url?scp=0035795263&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(01)00008-6
DO - 10.1016/S0550-3213(01)00008-6
M3 - Article
AN - SCOPUS:0035795263
SN - 0550-3213
VL - 599
SP - 83
EP - 118
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -