The projective unitary group PU(n) is the quotient of the unitary group U(n)
by its center. We compute the integral cohomology ring of PU(n) using explicit
constructed generators....
Fixing the AdS3 metric from the pure state entanglement entropies of
CFT2
October 23, 2017
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Physics
High Energy Physics - Theory
Statistical Mechanics
General Relativity and Quantum Cosmology
Quantum Physics
High Energy Physics - Theory
Statistical Mechanics
General Relativity and Quantum Cosmology
Quantum Physics
In this paper, based on RT formula, by identifying the pure state UV and IR
entanglement entropies of a perturbed CFT2 with geodesic lengths in the
bulk, we demonstrate that the dual geometry is uniquely determined to be
asymptotically A...
Pm Interior Penalty Nonconforming Finite Element Methods
for 2m-th Order PDEs in Rn
October 20, 2017
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
In general n-dimensional simplicial meshes, we propose a family of interior
penalty nonconforming finite element methods for 2m-th order partial
differential equations, where m≥0 and n≥1. For this family of
nonconforming f...
A factorisation theory for generalised power series and omnific integers
October 19, 2017
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Mathematics
Rings and Algebras
Logic
We prove that in every ring of generalised power series with non-positive
real exponents and coefficients in a field of characteristic zero, every series
admits a factorisation into finitely many irreducibles of infinite support, the
number...
BPZ equations for higher degenerate fields and non-perturbative
Dyson-Schwinger equations
October 18, 2017
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Physics
High Energy Physics - Theory
In the two-dimensional Liouville conformal field theory, correlation
functions involving a degenerate field satisfy partial differential equations
due to the decoupling of the null descendant field. On the other hand, the
instanton partitio...
Factorization homology of enriched ∞-categories
October 17, 2017
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Mathematics
Physics
Algebraic Topology
Mathematical Physics
Category Theory
Mathematical Physics
Quantum Algebra
For an arbitrary symmetric monoidal ∞-category V, we
define the factorization homology of V-enriched
(∞,1)-categories over (possibly stratified) 1-manifolds and study some
of its basic properties. In th...
The Feeling of Success: Does Touch Sensing Help Predict Grasp Outcomes?
October 16, 2017
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Computer Science
Statistics
Robotics
Computer Vision and Pattern Recognition
Machine Learning
Machine Learning
Robotics
Computer Vision and Pattern Recognition
Machine Learning
Machine Learning
A successful grasp requires careful balancing of the contact forces. Deducing
whether a particular grasp will be successful from indirect measurements, such
as vision, is therefore quite challenging, and direct sensing of contacts
through t...
Models for elementary particles under a unified framework without making
use of gauge symmetry
October 16, 2017
|
Physics
General Physics
General Physics
This paper consists of two parts. In the first part, a concise reformulation
is derived for that part of the Glashow-Weinberg-Salam (GWS) electroweak
interaction Hamiltonian, which describes interactions between leptons (in the
first genera...
Weil groups and F-isocrystals
October 16, 2017
|
Mathematics
Number Theory
Algebraic Geometry
Number Theory
Algebraic Geometry
We show that much of local class theory can be deduced from the
Dieudonn\'e-Manin structure theory for F-isocrystals on an algebraically
closed field of characteristic p>0. As a consequence we get a new proof of a
formula of Dwork for t...
Estimate exponential memory decay in Hidden Markov Model and its
applications
October 16, 2017
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Statistics
Machine Learning
Methodology
Inference in hidden Markov model has been challenging in terms of scalability
due to dependencies in the observation data. In this paper, we utilize the
inherent memory decay in hidden Markov models, such that the forward and
backward proba...