50 research outputs found
Scalar CFTs and Their Large N Limits
We study scalar conformal field theories whose large spectrum is fixed by
the operator dimensions of either Ising model or Lee-Yang edge singularity.
Using numerical bootstrap to study CFTs with symmetry, we find
a series of kinks whose locations approach
at
. Setting , we study the cubic anisotropic fixed
point with three spin components. As byproducts of our numerical bootstrap
work, we discover another series of kinks whose identification with previous
known CFTs remains a mystery. We also show that "minimal models" of
algebra saturate the numerical bootstrap bounds of CFTs with
symmetry.Comment: 29 pages, 5 figure
Holographic RG Flow in a New Sector of -Deformed Gauged Supergravity
We consider a certain supersymmetric,
invariant, subsector of the -deformed family of -gauged four-dimensional supergravities. The theory contains two scalar fields
and two pseudoscalar fields. We look for stationary points of the scalar
potential, corresponding to AdS vacua in the theory. One of these, which breaks
all supersymmetries but is nonetheless stable, is new. It exists only when
. We construct supersymmetric domain wall solutions in the
truncated theory, and we give a detailed analysis of their holographic dual
interpretations using the AdS/CFT correspondence. Domain walls where the
pseudoscalars vanish were studied previously, but those with non-vanishing
pseudoscalars, which we analyse numerically, are new. The pseudoscalars are
associated with supersymmetric mass deformations in the CFT duals. When
is zero, the solutions can be lifted to M-theory, where they approach
the Coulomb-branch flows of dielectric M5-branes wrapped on in the deep
IR.Comment: 40 pages, 10 figure
Classifying irreducible fixed points of five scalar fields in perturbation theory
Classifying perturbative fixed points near upper critical dimensions plays an
important role in understanding the space of conformal field theories and
critical phases of matter. In this work, we consider perturbative fixed points
of scalar bosons coupled with quartic interactions preserving an
arbitrary subgroup . We perform an exhaustive algorithmic
search over the symmetry groups which are irreducible and satisfy the
Landau condition, so that the fixed point can be reached by fine-tuning a
single mass term and there is no need to tune the cubic couplings. We also
impose stability of the RG flow in the space of quartic couplings, and reality.
We thus prove that there exist no new stable fixed points in
dimensions beyond the two known ones: namely the invariant fixed
point and the Cubic(5) fixed point. This work is a continuation of the
classification of such fixed points with scalars by Toledano, Michel,
Toledano, and Br\'ezin in 1985.Comment: 37 pages, 4 figures, references update
Holographic RG flows with nematic IR phases
We construct zero-temperature geometries that interpolate between a Lifshitz
fixed point in the UV and an IR phase that breaks spatial rotations but
preserves translations. We work with a simple holographic model describing two
massive gauge fields coupled to gravity and a neutral scalar. Our construction
can be used to describe RG flows in non-relativistic, strongly coupled quantum
systems with nematic order in the IR. In particular, when the dynamical
critical exponent of the UV fixed point is z=2 and the IR scaling exponents are
chosen appropriately, our model realizes holographically the scaling properties
of the bosonic modes of the quadratic band crossing model.Comment: 19 pages, 2 figures. References added. Expanded discussion on nematic
orde
Bootstrapping the Wess-Zumino models in three dimensions
Using numerical bootstrap method, we determine the critical exponents of the
minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotetential
. The tensor is taken to be the
invariant tensor of either permutation group , special unitary group
, or a series of groups called F4 family of Lie groups. Due to the
equation of motion, at the Wess-Zumino fixed point, the operator
is a (super)descendant of . We observe
such super-multiplet recombination in numerical bootstrap, which allows us to
determine the scaling dimension of the super-field .Comment: 19 pages, 8 figure