31,244 research outputs found
A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3). The incorporation of Chern-Simons couplings in the formalism is also presented. The dimensional reduction of the gauge theory and the SUSY algebra is related to a massive N=2 massive matrix quantum mechanics based on euclidean
Inseparability inequalities for higher-order moments for bipartite systems
There are several examples of bipartite entangled states of continuous
variables for which the existing criteria for entanglement using the
inequalities involving the second order moments are insufficient. We derive new
inequalities involving higher order correlation, for testing entanglement in
non-Gaussian states. In this context we study an example of a non-Gaussian
state, which is a bipartite entangled state of the form .
Our results open up an avenue to search for new inequalities to test
entanglement in non-Gaussian states.Comment: 7 pages, Submitte
The Cosmic Mach Number: Comparison from Observations, Numerical Simulations and Nonlinear Predictions
We calculate the cosmic Mach number M - the ratio of the bulk flow of the
velocity field on scale R to the velocity dispersion within regions of scale R.
M is effectively a measure of the ratio of large-scale to small-scale power and
can be a useful tool to constrain the cosmological parameter space. Using a
compilation of existing peculiar velocity surveys, we calculate M and compare
it to that estimated from mock catalogues extracted from the LasDamas (a LCDM
cosmology) numerical simulations. We find agreement with expectations for the
LasDamas cosmology at ~ 1.5 sigma CL. We also show that our Mach estimates for
the mocks are not biased by selection function effects. To achieve this, we
extract dense and nearly-isotropic distributions using Gaussian selection
functions with the same width as the characteristic depth of the real surveys,
and show that the Mach numbers estimated from the mocks are very similar to the
values based on Gaussian profiles of the corresponding widths. We discuss the
importance of the survey window functions in estimating their effective depths.
We investigate the nonlinear matter power spectrum interpolator PkANN as an
alternative to numerical simulations, in the study of Mach number.Comment: 12 pages, 9 figures, 3 table
Aspects of Integrability in N =4 SYM
Various recently developed connections between supersymmetric Yang-Mills
theories in four dimensions and two dimensional integrable systems serve as
crucial ingredients in improving our understanding of the AdS/CFT
correspondence. In this review, we highlight some connections between
superconformal four dimensional Yang-Mills theory and various integrable
systems. In particular, we focus on the role of Yangian symmetries in studying
the gauge theory dual of closed string excitations. We also briefly review how
the gauge theory connects to Calogero models and open quantum spin chains
through the study of the gauge theory duals of D3 branes and open strings
ending on them. This invited review, written for Modern Physics Letters-A, is
based on a seminar given at the Institute of Advanced Study, Princeton.Comment: Invited brief review for Mod. Phys. Lett. A based on a talk at I.A.S,
Princeto
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