360,831 research outputs found
Six-dimensional D_N theory and four-dimensional SO-USp quivers
We realize four-dimensional N=2 superconformal quiver gauge theories with
alternating SO and USp gauge groups as compactifications of the six-dimensional
D_N theory with defects. The construction can be used to analyze infinitely
strongly-coupled limits and S-dualities of such gauge theories, resulting in a
new class of isolated four-dimensional N=2 superconformal field theories with
SO(2N)^3 flavor symmetry.Comment: 30 pages, 12 figures; v2: published versio
N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
We consider the four dimensional scale invariant N=2 SU quiver gauge theories
with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We
argue that these theories are realized as six dimensional A_{2N-1} (0,2)
theories compactified on spheres with punctures. With this realization, we can
study various strongly coupled cusps in moduli space and find the S-dual
theories. We find a class of isolated superconformal field theories with only
odd dimensional operators and superconformal field theories with
only even dimensional operators .Comment: Minor changes are made; refrences are added; 21 pages, 18 figure
A new look at instantons and large-N limit
We analyze instantons in the very strongly coupled large- limit
( with fixed) of large- gauge theories, where the effect
of the instantons remains finite. By using the exact partition function of
four-dimensional gauge theories as a concrete example, we
demonstrate that each instanton sector in the very strongly coupled large-
limit is related to the one in the 't Hooft limit ( with
fixed) through a simple analytic continuation. Furthermore we show the
equivalence between the instanton partition functions of a pair of large-
gauge theories related by an orbifold projection. This can open up a new way to
analyze the partition functions of low/non-supersymmetric theories. We also
discuss implication of our result to gauge/gravity dualities for M-theory as
well as a possible application to large- QCD.Comment: 10 page
Gauge theory duals of black hole - black string transitions of gravitational theories on a circle
We study the black hole - black string phase transitions of gravitational
theories compactified on a circle using the holographic duality conjecture. The
gauge theory duals of these theories are maximally supersymmetric and strongly
coupled 1 + 1 dimensional SU(N) Yang-Mills theories compactified on a circle,
in the large limit. We perform the strongly coupled finite temperature
gauge theory calculations on a lattice, using the recently developed exact
lattice supersymmetry methods based on topological twisting and orbifolding.
The spatial Polyakov line serves as relevant order parameter of the confinement
- deconfinement phase transitions in the gauge theory duals.Comment: v2: 8 pages, 2 figures. References added. Talk given at the 6th
International Symposium on Quantum Theory and Symmetries (QTS6), Lexington,
Kentucky, 20-25 Jul 200
Hall conductivity from dyonic black holes
A class of strongly interacting 2+1 dimensional conformal field theories in a
transverse magnetic field can be studied using the AdS/CFT duality. We compute
zero momentum hydrodynamic response functions of maximally supersymmetric 2+1
dimensional SU(N) Yang-Mills theory at the conformal fixed point, in the large
N limit. With background magnetic field B and electric charge density rho, the
Hall conductivity is found to be rho/B. The result, anticipated on kinematic
grounds in field theory, is obtained from perturbations of a four dimensional
AdS black hole with both electric and magnetic charges.Comment: 1+13 pages. TT correlator corrected. Typos corrected and added ref
Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
We provide a lattice demonstration of -dimensional field theory
dualities relating free Dirac or Majorana fermions to strongly-interacting
bosonic Chern-Simons-matter theories. Specifically, we prove the recent
conjecture that level-1 with gauged complex Wilson-Fisher scalars
(where ) is dual to Dirac fermions, as well as the
analogous conjecture relating theories with real Wilson-Fisher scalars
to Majorana fermions for . Furthermore, we discover new
dualities that allow us to explain the interesting phase structure of the
theories with and scalars, for all .Comment: 35 pages. v2: updated a citation. v3: minor correctio
Magnetic Z(N) symmetry in 2+1 dimensions
This review describes the role of magnetic symmetry in 2+1 dimensional gauge
theories. In confining theories without matter fields in fundamental
representation the magnetic symmetry is spontaneously broken. Under some mild
assumptions, the low-energy dynamics is determined universally by this
spontaneous breaking phenomenon. The degrees of freedom in the effective theory
are magnetic vortices. Their role in confining dynamics is similar to that
played by pions and sigma in the chiral symmetry breaking dynamics.
I give an explicit derivation of the effective theory in (2+1)-dimensional
weakly coupled confining models and argue that it remains qualitatively the
same in strongly coupled (2+1)-dimensional gluodynamics. Confinement in this
effective theory is a very simple classical statement about the long range
interaction between topological solitons, which follows (as a result of a
simple direct classical calculation) from the structure of the effective
Lagrangian. I show that if fundamentally charged dynamical fields are present
the magnetic symmetry becomes local rather than global. The modifications to
the effective low energy description in the case of heavy dynamical fundamental
matter are discussed. This effective lagrangian naturally yields a bag like
description of baryonic excitations. I also discuss the fate of the magnetic
symmetry in gauge theories with the Chern-Simons term
Glueball masses in U(1) LGT using the multi-level algorithm
The multi-level algorithm allows, at least for pure gauge theories, reliable
measurement of exponentially small expectation values. The implementation of
the algorithm depends strongly on the observable one wants to measure. Here we
report measurement of glueball masses using the multi-level algorithm in 4
dimensional compact U(1) theory as a case study.Comment: Lattice 2003 (algorithm) 3 pages, 3 figures and 2 table
Ultraviolet avalanche in anisotropic non-Abelian plasmas
We present solutions of coupled particle-field evolution in classical U(1)
and SU(2) gauge theories in real time on three-dimensional lattices. For
strongly anisotropic particle momentum distributions, we find qualitatively
different behavior for the two theories when the field strength is high enough
that non-Abelian self-interactions matter for SU(2). It appears that the energy
drained by a Weibel-like plasma instability from the particles does not build
up exponentially in transverse magnetic fields but instead returns,
isotropically, to the hard scale via a rapid avalanche into the ultraviolet.Comment: 22 pages, 10 figures; v3: small textual changes; updated to
correspond with version to appear in publicatio
- …