TY - JOUR

T1 - Three-dimensional SCFTs, supersymmetric domain wall and renormalization group flow

AU - Ahn, Changhyun

AU - Paeng, Jinsub

PY - 2001/2/12

Y1 - 2001/2/12

N2 - By analyzing SU(3)×U(1) invariant stationary point, studied earlier by Nicolai and Warner, of gauged N=8 supergravity, we find that the deformation of S7 gives rise to nontrivial renormalization group flow in a three-dimensional boundary super conformal field theory from N=8, SO(8) invariant UV fixed point to N=2, SU(3)×U(1) invariant IR fixed point. By explicitly constructing 28-beins u,v fields, that are an element of fundamental 56-dimensional representation of E7, in terms of scalar and pseudo-scalar fields of gauged N=8 supergravity, we get A1,A2 tensors. Then we identify one of the eigenvalues of A1 tensor with "superpotential" of de Wit-Nicolai scalar potential and discuss four-dimensional supergravity description of renormalization group flow, i.e., the BPS domain wall solutions which are equivalent to vanishing of variation of spin 1/2, 3/2 fields in the supersymmetry preserving bosonic background of gauged N=8 supergravity. A numerical analysis of the steepest descent equations interpolating two critical points is given.

AB - By analyzing SU(3)×U(1) invariant stationary point, studied earlier by Nicolai and Warner, of gauged N=8 supergravity, we find that the deformation of S7 gives rise to nontrivial renormalization group flow in a three-dimensional boundary super conformal field theory from N=8, SO(8) invariant UV fixed point to N=2, SU(3)×U(1) invariant IR fixed point. By explicitly constructing 28-beins u,v fields, that are an element of fundamental 56-dimensional representation of E7, in terms of scalar and pseudo-scalar fields of gauged N=8 supergravity, we get A1,A2 tensors. Then we identify one of the eigenvalues of A1 tensor with "superpotential" of de Wit-Nicolai scalar potential and discuss four-dimensional supergravity description of renormalization group flow, i.e., the BPS domain wall solutions which are equivalent to vanishing of variation of spin 1/2, 3/2 fields in the supersymmetry preserving bosonic background of gauged N=8 supergravity. A numerical analysis of the steepest descent equations interpolating two critical points is given.

UR - http://www.scopus.com/inward/record.url?scp=0000860641&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00687-8

DO - 10.1016/S0550-3213(00)00687-8

M3 - Article

AN - SCOPUS:0000860641

SN - 0550-3213

VL - 595

SP - 119

EP - 137

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -