11,483 research outputs found
Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics
Extending previous work on 2 -- and 3 -- point functions, we study the 4 --
point function and its conformal block structure in conformal quantum mechanics
CFT, which realizes the SO(2,1) symmetry group. Conformal covariance is
preserved even though the operators with which we work need not be primary and
the states are not conformally invariant. We find that only one conformal block
contributes to the four-point function. We describe some further properties of
the states that we use and we construct dynamical evolution generated by the
compact generator of SO(2.1).Comment: Formula for 4-point function is corrected and generalize
State Space for Planar Majorana Zero Modes
Zero modes arising from a planar Majorana equation in the presence of
vortices require an -dimensional state-space, where for even and for odd. The mode
operators form a restricted -dimensional Clifford algebra.Comment: 6 pages, no figure
Fake Conformal Symmetry in Conformal Cosmological Models
We examine the local conformal invariance (Weyl invariance) in tensor-scalar
theories used in recently proposed conformal cosmological models. We show that
the Noether currents associated with Weyl invariance in these theories vanish.
We assert that the corresponding Weyl symmetry does not have any dynamical
role.Comment: References updated, errors corrected, published in Phys. Rev. D. 4
pages, RevTeX, no figure
Tutorial on Scale and Conformal Symmetries in Diverse Dimensions
We review the relation between scale and conformal symmetries in various
models and dimensions. We present a dimensional reduction from relativistic to
non-relativistic conformal dynamics.Comment: Addendum added that includes author S.-H. Ho; Sodano Fest, Perugia,
Italy, January 201
Persistence of zero modes in a gauged Dirac model for bilayer graphene
A recently constructed model for low lying excitations in bilayer graphene
exhibits mid-gap, zero energy modes in its Dirac-like spectrum, when a scalar
order parameter takes a vortex profile. We show that these modes persist when
the dynamics is extended by a gauge field interaction, which also renders
finite the vortex energy. The effect of the gauge field on the zero energy wave
function is to shift the phase of the (damped) oscillatory component of the
wave function in the absence of the gauge field.Comment: 7 pages, no figure
Reducing the Chern-Simons term by a symmetry
Reducing a 3-dimensional Chern-Simons term by a symmetry yields other
topologically interesting structures. Specifically, reducing by radial symmetry
results in a 1-dimensional quantum mechanical model, which has recently been
used in an analysis of finite-temperature Chern-Simons theory. The radially
symmetric expression may be inserted into 3-dimensional monopole or
(2+1)-dimensional instanton equations, where it eliminates the monopole or
instanton solutions.Comment: Email correspondence to [email protected] ; 7 pages, REVTe
Topological Mass Generation in Four Dimensions
Schwinger's mechanism for mass generation relies on topological structures of
a 2-dimensional gauge theory. In the same manner, corresponding 4-dimensional
topological entities give rise to topological mass generation in four
dimensions.Comment: 10 pages, 2 figure
Cotton Blend Gravity Waves
We study conformal gravity in d=2+1, where the Cotton tensor is equated to
a--necessarily traceless--matter stress tensor, for us that of the improved
scalar field. We first solve this system exactly in the wave regime, then
show it to be equivalent to topologically massive gravity.Comment: 6 pages. Dedicated to Andrzej Staruszkiewicz, a pioneer in d=3
gravity, on his 65th birthda
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