106,957 research outputs found
The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow
The squashed and stretched 7-dimensional internal metric preserving U(1) x
U(1) x U(1)_R symmetry possesses an Einstein-Kahler 2-fold which is a base
manifold of 5-dimensional Sasaki-Einstein L^{p, q, r} space. The r(transverse
to the domain wall)-dependence of the two 4-dimensional supergravity fields,
that play the role of geometric parameters for squashing and stretching, makes
the 11-dimensional Einstein-Maxwell equations consistent not only at the two
critical points but also along the whole N=2 supersymmetric RG flow connecting
them. The Ricci tensor of the solution has common feature with the previous
three 11-dimensional solutions. The 4-forms preserve only U(1)_R symmetry for
other generic parameters of the metric. We find an exact solution to the
11-dimensional Einstein-Maxwell equations corresponding to the lift of the
4-dimensional supersymmetric RG flow.Comment: 16 p
More on Meta-Stable Brane Configuration by Quartic Superpotential for Fundamentals
For the case where the gauge theory superpotential has a quartic term as well
as the mass term for quarks, the nonsupersymmetric meta-stable brane
configuration was found recently. By adding the orientifold 6-planes and the
extra fundamental flavors to this brane configuration, we describe the
meta-stable nonsupersymmetric vacua of the gauge theory with antisymmetric
flavor as well as fundamental flavors in type IIA string theory.Comment: 16 pp, 4 figures; second paragraph of section 1, figures 2, 3, 4, the
last paragraph of page 5, the equation (2.1) and the footnote 2 are improved
and to appear in PL
Other Meta-Stable Brane Configuration by Adding an Orientifold 6-Plane to Giveon-Kutasov
Giveon and Kutasov have found the type IIA intersecting nonsupersymmetric
meta-stable brane configuration where the electric gauge theory superpotential
has a quartic term as well as the mass term for quarks. In this paper, by
adding the orientifold 6-plane to this brane configuration, we describe the
brane configuration corresponding to the meta-stable nonsupersymmetric vacua of
the supersymmetric unitary gauge theory with symmetric flavor as well as
fundamental flavors.Comment: 16 pp, 3 figures; The mirrors of Figures 2 and 3 corrected; the
footnote 5 added and to appear in PL
Towards An N=1 SU(3)-Invariant Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
The M-theory lift of N=1 G_2-invariant RG flow via a combinatoric use of the
4-dimensional RG flow and 11-dimensional Einstein-Maxwell equations was found
some time ago. The 11-dimensional metric, a warped product of an asymptotically
AdS_4 space with a squashed and stretched 7-sphere, for SU(3)-invariance was
found before. In this paper, by choosing the 4-dimensional internal space as
CP^2 space, we discover an exact solution of N=1 G_2-invariant flow to the
11-dimensional field equations. By an appropriate coordinate transformation on
the three internal coordinates, we also find an 11-dimensional solution of N=1
G_2-invariant flow interpolating from N=8 SO(8)-invariant UV fixed point to N=1
G_2-invariant IR fixed point. In particular, the 11-dimensional metric and
4-forms at the N=1 G_2 fixed point for the second solution will provide some
hints for the 11-dimensional lift of whole N=1 SU(3) RG flow connecting this
N=1 G_2 fixed point to N=2 SU(3) x U(1)_R fixed point in 4-dimensions.Comment: 45 pp; Four footnotes added and corrected some statement
More Meta-Stable Brane Configurations without D6-Branes
We describe the intersecting brane configurations, consisting of NS-branes,
D4-branes(and anti-D4-branes), in type IIA string theory corresponding to the
meta-stable nonsupersymmetric vacua of N=1 SU(N_c) x SU(N_c') x SU(N_c'') gauge
theory with bifundamentals. By adding the orientifold 4-plane to these brane
configurations, we also discuss the meta-stable brane configurations for other
gauge theory with bifundamentals. Furthermore, we study the intersecting brane
configurations corresponding to the nonsupersymmetric meta-stable vacua of
other gauge theory with bifundamentals, by adding the orientifold 6-plane.Comment: 46 pp; 16 figures; improved the introduction and to appear in NP
The Gauge Dual of Gauged N=8 Supergravity Theory
The most general SU(3)-singlet space of gauged N=8 supergravity in
four-dimensions is studied recently. The SU(3)-invariant six scalar fields are
realized by six real four-forms. A family of holographic N=1 supersymmetric RG
flows on M2-branes in three-dimensions is described. This family of flows is
driven by three independent mass parameters from the N=8 SO(8) theory and is
controlled by two IR fixed points, N=1 G_2-invariant one and N=2 SU(3) x
U(1)-invariant one. The generic flow with arbitrary mass parameters is N=1
supersymmetric and reaches to the N=2 SU(3) x U(1) fixed point where the three
masses become identical. A particular N=1 supersymmetric SU(3)-preserving RG
flow from the N=1 G_2-invariant fixed point to the N=2 SU(3) x U(1)-invariant
fixed point is also discussed.Comment: 19pp; added the footnote 1, improved the conclusion and to appear in
IJMP
N=1 Supersymmetric Boundary Bootstrap
We investigate the boundary bootstrap programme for finding exact reflection
matrices of integrable boundary quantum field theories with N=1 boundary
supersymmetry. The bulk S-matrix and the reflection matrix are assumed to take
the form S=S_1S_0, R=R_1R_0, where S_0 and R_0 are the S-matrix and reflection
matrix of some integrable non-supersymmetric boundary theory that is assumed to
be known, and S_1 and R_1 describe the mixing of supersymmetric indices. Under
the assumption that the bulk particles transform in the kink and boson/fermion
representations and the ground state is a singlet we present rules by which the
supersymmetry representations and reflection factors for excited boundary bound
states can be determined. We apply these rules to the boundary sine-Gordon
model, to the boundary a_2^(1) and a_4^(1) affine Toda field theories, to the
boundary sinh-Gordon model and to the free particle.Comment: 43 pages, LaTex, 14 eps figures, minor correction
Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
We compute the spin-2 Kaluza-Klein modes around a warped product of AdS_4 and
a seven-ellipsoid. This background with global G_2 symmetry is related to a
U(N) x U(N) N=1 superconformal Chern-Simons matter theory with sixth order
superpotential. The mass-squared in AdS_4 is quadratic in G_2 quantum number
and KK excitation number. We determine the dimensions of spin-2 operators using
the AdS/CFT correspondence. The connection to N=2 theory preserving SU(3) x
U(1)_R is also discussed.Comment: 21pp; The second and last paragraphs of section 2, the footnotes 1
and 2 added and to appear in JHE
Meta-Stable Brane Configurations by Higher Order Polynomial Superpotential
We construct the type IIA nonsupersymmetric meta-stable brane configuration
consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory
superpotential has an order (2k+2) polynomial for the bifundamentals. We find a
rich pattern of nonsupersymmetric meta-stable states as well as the
supersymmetric stable ones. By adding the orientifold 4-plane to this brane
configuration, we also describe the intersecting brane configuration of type
IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of
corresponding gauge theory.Comment: 27pp, 8 figures; some footnotes added; to appear in IJMP
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