1,930 research outputs found
Comment on "The N = 3 Weyl Multiplet in Four Dimensions"
N = 3 Weyl multiplet in four dimensions was first constructed in J van Muiden
et al (2017) where the authors used the current multiplet approach to obtain
the linearized transformation rules and completed the nonlinear variations
using the superconformal algebra. The multiplet of currents was obtained by a
truncation of the multiplet of currents for the N = 4 vector multiplet. While
the procedure seems to be correct, the result suffers from several
inconsistencies. The inconsistencies are observed in the transformation rules
as well as the field dependent structure constants in the corresponding soft
algebra. We take a different approach, and compute the transformation rule as
well as the corresponding soft algebra by demanding consistency.Comment: 7 pages, text revision
Entangling capabilities of Symmetric two qubit gates
Our work addresses the problem of generating maximally entangled two spin-1/2
(qubit) symmetric states using NMR, NQR, Lipkin-Meshkov-Glick Hamiltonians.
Time evolution of such Hamiltonians provides various logic gates which can be
used for quantum processing tasks. Pairs of spin-1/2's have modeled a wide
range of problems in physics. Here we are interested in two spin-1/2 symmetric
states which belong to a subspace spanned by the angular momentum basis {|j =
1, {\mu}>; {\mu} = +1, 0,-1}. Our technique relies on the decomposition of a
Hamiltonian in terms of SU(3) generators. In this context, we define a set of
linearly independent, traceless, Hermitian operators which provides an
alternate set of SU(n) generators. These matrices are constructed out of
angular momentum operators Jx,Jy,Jz. We construct and study the properties of
perfect entanglers acting on a symmetric subspace i.e., spin-1 operators that
can generate maximally entangled states from some suitably chosen initial
separable states in terms of their entangling power.Comment: 12 page
The H-Line Signed Graph of a Signed Graph
For standard terminology and notion in graph theory we refer the reader to Harary; the non-standard will be given in this paper as and when required. We treat only finite simple graphs without self loops and isolates
Multilingual Language Processing From Bytes
We describe an LSTM-based model which we call Byte-to-Span (BTS) that reads
text as bytes and outputs span annotations of the form [start, length, label]
where start positions, lengths, and labels are separate entries in our
vocabulary. Because we operate directly on unicode bytes rather than
language-specific words or characters, we can analyze text in many languages
with a single model. Due to the small vocabulary size, these multilingual
models are very compact, but produce results similar to or better than the
state-of- the-art in Part-of-Speech tagging and Named Entity Recognition that
use only the provided training datasets (no external data sources). Our models
are learning "from scratch" in that they do not rely on any elements of the
standard pipeline in Natural Language Processing (including tokenization), and
thus can run in standalone fashion on raw text
dilaton Weyl multiplet in 4D supergravity
We construct the dilaton Weyl multiplet for conformal supergravity in
four dimensions. Beginning from an on-shell vector multiplet coupled to the
standard Weyl multiplet, the equations of motion can be used to eliminate the
supergravity auxiliary fields, following a similar pattern as in five and six
dimensions. The resulting 24+24 component multiplet includes two gauge vectors
and a gauge two-form and provides a variant formulation of conformal
supergravity. We also show how this dilaton Weyl multiplet is contained in the
minimal 32+32 Poincare supergravity multiplet introduced by Muller in
superspace.Comment: 15 page
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