98 research outputs found
Monopole operators in three-dimensional N=4 SYM and mirror symmetry
We study non-abelian monopole operators in the infrared limit of
three-dimensional SU(N_c) and N=4 SU(2) gauge theories. Using large N_f
expansion and operator-state isomorphism of the resulting superconformal field
theories, we construct monopole operators which are (anti-)chiral primaries and
compute their charges under the global symmetries. Predictions of
three-dimensional mirror symmetry for the quantum numbers of these monopole
operators are verified.Comment: 23 pages, LaTex; v2: section 3.4 modified, section 3.5 extended,
references adde
Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
There is growing evidence from both experiment and numerical studies that low
half-odd integer quantum spins on a kagome lattice with predominant
antiferromagnetic near neighbor interactions do not order magnetically or break
lattice symmetries even at temperatures much lower than the exchange
interaction strength. Moreover, there appear to be a plethora of low energy
excitations, predominantly singlets but also spin carrying, which suggest that
the putative underlying quantum spin liquid is a gapless ``critical spin
liquid'' rather than a gapped spin liquid with topological order. Here, we
develop an effective field theory approach for the spin-1/2 Heisenberg model
with easy-plane anisotropy on the kagome lattice. By employing a vortex duality
transformation, followed by a fermionization and flux-smearing, we obtain
access to a gapless yet stable critical spin liquid phase, which is described
by (2+1)-dimensional quantum electrodynamics (QED) with an emergent
flavor symmetry. The specific heat, thermal conductivity, and
dynamical structure factor are extracted from the effective field theory, and
contrasted with other theoretical approaches to the kagome antiferromagnet.Comment: 14 pages, 8 figure
AdS_4/CFT_3 -- Squashed, Stretched and Warped
We use group theoretic methods to calculate the spectrum of short multiplets
around the extremum of N=8 gauged supergravity potential which possesses N=2
supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it
describes a warped product of AdS_4 and a certain squashed and stretched
7-sphere. We find quantum numbers in agreement with those of the gauge
invariant operators in the N=2 superconformal Chern-Simons theory recently
proposed to be the dual of this M-theory background. This theory is obtained
from the U(N)xU(N) theory through deforming the superpotential by a term
quadratic in one of the superfields. To construct this model explicitly, one
needs to employ monopole operators whose complete understanding is still
lacking. However, for the U(2)xU(2) gauge theory we make a proposal for the
form of the monopole operators which has a number of desired properties. In
particular, this proposal implies enhanced symmetry of the U(2)xU(2) ABJM
theory for k=1,2; it makes its similarity to and subtle difference from the BLG
theory quite explicit.Comment: 32 pages, v2: references added, minor changes, v3: some
clarifications, published versio
Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
We deform the N=6 Chern Simons theory by adding extra matter hypermultiplets
in a fundamental representation of one or both gauge groups. We compute the
quantum corrected moduli space. We verify that the holographic dual of the
modified theory consists of the usual AdS4 x CP3 background in presence of AdS4
filling D6 branes which wrap RP3 in CP3. We extend the correspondence to a
similar modification of more general known N=3 dual pairsComment: 16 pages. v2: a reference, the name of a manifold, minor typos
correcte
Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions
We consider a generalized connection in three dimensions and show that it
emerges in Chern-Simons-Maxwell theories when one studies the disorder
instanton operator. We generalize this construction to non-Abelian theories and
find that the disorder operator (the 't Hooft operator) is equivalent to a
generalized Wilson loop in a representation that depends on the Chern-Simons
term. We speculate about the effective action of the disorder operator and its
applications to the possible phases of the theory in the infra-red. We also
show that fractional statistics can emerge in gauge theories without a
Chern-Simons term if the generalized connection rather than the ordinary
connection is used to couple charged particles.Comment: 17 pages, typos corrected, ref. adde
Notes on Supersymmetry Enhancement of ABJM Theory
We study the supersymmetry enhancement of ABJM theory. Starting from a supersymmetric Chern-Simons matter theory with gauge group
U(2)U(2) which is a truncated version of the ABJM theory, we find by
using the monopole operator that there is additional supersymmetry
related to the gauge group. We show this additional supersymmetry can combine
with supersymmetry of the original ABJM theory to an enhanced
SUSY with gauge group U(2)U(2) in the case . We
also discuss the supersymmetry enhancement of the ABJM theory with
U()U() gauge group and find a condition which should be satisfied
by the monopole operator.Comment: 23 pages, no figure, minor corrections, version to appear in JHE
The Partonic Nature of Instantons
In both Yang-Mills theories and sigma models, instantons are endowed with
degrees of freedom associated to their scale size and orientation. It has long
been conjectured that these degrees of freedom have a dual interpretation as
the positions of partonic constituents of the instanton. These conjectures are
usually framed in d=3+1 and d=1+1 dimensions respectively where the partons are
supposed to be responsible for confinement and other strong coupling phenomena.
We revisit this partonic interpretation of instantons in the context of d=4+1
and d=2+1 dimensions. Here the instantons are particle-like solitons and the
theories are non-renormalizable. We present an explicit and calculable model in
d=2+1 dimensions where the single soliton in the CP^N sigma-model can be shown
to be a multi-particle state whose partons are identified with the ultra-violet
degrees of freedom which render the theory well-defined at high energies. We
introduce a number of methods which reveal the partons inside the soliton,
including deforming the sigma model and a dual version of the Bogomolnyi
equations. We conjecture that partons inside Yang-Mills instantons hold the key
to understanding the ultra-violet completion of five-dimensional gauge
theories.Comment: 28 pages. v3: extra references and comments. Mathematica notebooks
for the figures can be downloaded from
http://www.damtp.cam.ac.uk/user/dt281/parton.htm
Nonperturbative Tests of Three-Dimensional Dualities
We test several conjectural dualities between strongly coupled superconformal
field theories in three dimensions by computing their exact partition functions
on a three-sphere as a function of Fayet-Iliopoulos and mass parameters. The
calculation is carried out using localization of the path integral and the
matrix model previously derived for superconformal N = 2 gauge theories. We
verify that the partition functions of quiver theories related by mirror
symmetry agree provided the mass parameters and the Fayet-Iliopoulos parameters
are exchanged, as predicted. We carry out a similar calculation for the mirror
of N = 8 super-Yang-Mills theory and show that its partition function agrees
with that of the ABJM theory at unit Chern-Simons level. This provides a
nonperturbative test of the conjectural equivalence of the two theories in the
conformal limit
Supersymmetry enhancement by monopole operators
We describe a method which allows one to study hidden symmetries in a large
class of strongly coupled supersymmetric gauge theories in three dimensions. We
apply this method to the ABJM theory and to the infrared limit of N=4 SQCD with
adjoint and fundamental matter. We show that the U(N) ABJM model with
Chern-Simons level k=1 or k=2 has hidden N=8 supersymmetry. Hidden
supersymmetry is also shown to occur in N=4 d=3 SQCD with one fundamental and
one adjoint hypermultiplet. The latter theory, as well as the U(N) ABJM theory
at k=1, are shown to have a decoupled free sector. This provides evidence that
both models are dual to the infrared limit of N=8 U(N) super-Yang-Mills theory.Comment: 29 pages, late
On The Inflaton Potential From Antibranes in Warped Throats
We compute the force between a stack of smeared antibranes at the bottom of a
warped throat and a stack of smeared branes at some distance up the throat,
both for anti-D3 branes and for anti-M2 branes. We perform this calculation in
two ways: first, by treating the antibranes as probes in the background sourced
by the branes and second, by treating the branes as probes in the candidate
background sourced by the antibranes. These two very different calculations
yield exactly the same expression for the force, for all values of the
brane-antibrane separation. This indicates that the force between a brane and
an antibrane is not screened in backgrounds where there is positive charge
dissolved in flux, and gives a way to precisely compute the inflaton potential
in certain string cosmology scenarios.Comment: 9 page
- âŠ