1,139 research outputs found
Oxidizing SuperYang-Mills from (N=4,d=4) to (N=1,d=10)
We introduce superspace generalizations of the transverse derivatives to
rewrite the four-dimensional N=4 Yang-Mills theory into the fully
ten-dimensional N=1 Yang-Mills in light-cone form. The explicit SuperPoincare
algebra is constructed and invariance of the ten-dimensional action is proved.Comment: 15 page
Maximal supersymmetry and exceptional groups
The article is a tribute to my old mentor, collaborator and friend Murray
Gell-Mann. In it I describe work by Pierre Ramond, Sung-Soo Kim and myself
where we describe the N = 8 Supergravity in the light-cone formalism. We show
how the Cremmer-Julia E7(7) non-linear symmetry is implemented and how the full
supermultiplet is a representation of the E7(7) symmetry. I also show how the
E7(7) symmetry is a key to understand the higher order couplings in the theory
and is very useful when we discuss possible counterterms for this theory.Comment: Proceedings of Conference in Honour of Murray Gell-Mann's 80th
Birthda
Kernel solutions of the Kostant operator on eight-dimensional quotient spaces
After introducing the generators and irreducible representations of the and Lie algebras in terms of the Schwinger's scillators,
the general kernel solutions of the Kostant operators on eight-dimensional
quotient spaces and are derived in terms of the diagonal
subalgebras and ,
respectively.Comment: 13 pages. Typos correcte
LC_2 formulation of supergravity
We formulate (N=1, d=11) supergravity in components in light-cone gauge
(LC_2) to order . In this formulation, we use judicious gauge choices
and the associated constraint relations to express the metric, three-form and
gravitino entirely in terms of the physical degrees of freedom in the theory.Comment: 11 page
Maximally Supersymmetric Yang-Mills in five dimensions in light-cone superspace
We formulate maximally supersymmetric Yang-Mills theory in five dimensions in
light-cone superspace. The light-cone Hamiltonian is of the quadratic form and
the theory can be understood as an oxidation of the N=4 Super Yang-Mills Theory
in four dimensions. We specifically study three-point counterterms and show how
these counterterms vanish on-shell. This study is a preliminary to set up the
technique in order to study possible four-point counterterms.Comment: 25 pages, typos corrected, references adde
Gauge-invariant correlation functions in light-cone superspace
We initiate a study of correlation functions of gauge-invariant operators in
N=4 super Yang-Mills theory using the light-cone superspace formalism. Our
primary aim is to develop efficient methods to compute perturbative corrections
to correlation functions. This analysis also allows us to examine potential
subtleties which may arise when calculating off-shell quantities in light-cone
gauge. We comment on the intriguing possibility that the manifest N=4
supersymmetry in this approach may allow for a compact description of entire
multiplets and their correlation functions.Comment: 35 pages, several figure
The N=8 Supergravity Hamiltonian as a Quadratic Form
We conjecture that the light-cone Hamiltonian of N=8 Supergravity can be expressed as a quadratic form. We explain why this rewriting is unique to maximally supersymmetric theories. The N=8 quartic interaction vertex is constructed and used to verify that this conjecture holds to second order in the coupling constant
Estimating Demand Uncertainty Using Judgmental Forecasts
Measuring demand uncertainty is a key activity in supply chain planning. Of various methods of
estimating the standard deviation of demand, one that has been employed successfully in the
recent literature uses dispersion among expertsĂą forecasts. However, there has been limited
empirical validation of this methodology. In this paper we provide a general methodology for
estimating the standard deviation of a random variable using dispersion among expertsĂą forecasts.
We test this methodology using three datasets, demand data at item level, sales data at firm level
for retailers, and sales data at firm level for manufacturers. We show that the standard deviation
of a random variable (demand and sales for our datasets) is positively correlated with dispersion
among expertsĂą forecasts. Further we use longitudinal datasets with sales forecasts made 3-9
months before earnings report date for retailers and manufacturers to show that the effects of
dispersion and scale on standard deviation of forecast error are consistent over time.Operations Management Working Papers Serie
On the Concurrent Composition of Quantum Zero-Knowledge
We study the notion of zero-knowledge secure against quantum polynomial-time
verifiers (referred to as quantum zero-knowledge) in the concurrent composition
setting. Despite being extensively studied in the classical setting, concurrent
composition in the quantum setting has hardly been studied. We initiate a
formal study of concurrent quantum zero-knowledge. Our results are as follows:
-Bounded Concurrent QZK for NP and QMA: Assuming post-quantum one-way
functions, there exists a quantum zero-knowledge proof system for NP in the
bounded concurrent setting. In this setting, we fix a priori the number of
verifiers that can simultaneously interact with the prover. Under the same
assumption, we also show that there exists a quantum zero-knowledge proof
system for QMA in the bounded concurrency setting.
-Quantum Proofs of Knowledge: Assuming quantum hardness of learning with
errors (QLWE), there exists a bounded concurrent zero-knowledge proof system
for NP satisfying quantum proof of knowledge property. Our extraction mechanism
simultaneously allows for extraction probability to be negligibly close to
acceptance probability (extractability) and also ensures that the prover's
state after extraction is statistically close to the prover's state after
interacting with the verifier (simulatability). The seminal work of [Unruh
EUROCRYPT'12], and all its followups, satisfied a weaker version of
extractability property and moreover, did not achieve simulatability. Our
result yields a proof of quantum knowledge system for QMA with better
parameters than prior works
Electron transport properties of sub-3-nm diameter copper nanowires
Density functional theory and density functional tight-binding are applied to
model electron transport in copper nanowires of approximately 1 nm and 3 nm
diameters with varying crystal orientation and surface termination. The copper
nanowires studied are found to be metallic irrespective of diameter, crystal
orientation and/or surface termination. Electron transmission is highly
dependent on crystal orientation and surface termination. Nanowires oriented
along the [110] crystallographic axis consistently exhibit the highest electron
transmission while surface oxidized nanowires show significantly reduced
electron transmission compared to unterminated nanowires. Transmission per unit
area is calculated in each case, for a given crystal orientation we find that
this value decreases with diameter for unterminated nanowires but is largely
unaffected by diameter in surface oxidized nanowires for the size regime
considered. Transmission pathway plots show that transmission is larger at the
surface of unterminated nanowires than inside the nanowire and that
transmission at the nanowire surface is significantly reduced by surface
oxidation. Finally, we present a simple model which explains the transport per
unit area dependence on diameter based on transmission pathways results
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