45 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
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
Defect Partition Function from TDLs in Commutant Pairs
We study topological defect lines in two character rational conformal field
theories. Among them one set of two character theories are commutant pairs in
conformal field theory. Using these defect lines we construct defect
partition function in the theory. We find that the defects preserve only
a part of the current algebra symmetry. We also determine the defect
partition function in CFT using these defects lines of 2 character
theories and we find that these defects preserve all current algebra symmetries
of CFT.Comment: 20 pages, typos corrected, some references adde
N = 3 Poincare Supergravity in Four Dimensions
In this paper, we use the superconformal approach to derive the action for N
= 3 Poincare supergravity in four space-time dimensions. We first study the
coupling of N = 3 vector multiplets to conformal supergravity. Thereafter we
combine it with the pure N = 3 conformal supergravity action and use a minimum
of three vector multiplets as compensators to arrive at Poincare supergravity
with higher derivative corrections. We give a general prescription on how to
eliminate the auxiliary fields in an iterative manner and obtain the
supergravity action order by order in derivatives. We also show that the
truncation of the action at fourth order in derivatives is a consistent
truncation.Comment: 31 pages,minor change
Loop Amplitudes in the Coulomb Branch of Super-Yang-Mills Theory
We study four point loop amplitudes at an arbitrary point in the Coulomb
branch of super-Yang-Mills theory. We study two particle
unitary cuts up to four loop order. We explicitly verify that bubble and
triangle graphs do not contribute at one loop level and show that the results
hold at higher loop level as well. We also write down an all loop recursion
relation for two particle reducible graphs for four point amplitudes.Comment: Two references are added. One footnote is added in the discussion
sectio